Functions: Part Three — Test Answers

25 verified answers

Which of the following describes the graph of y is equal to cube root of 8 x minus 64 minus 5 compared to the parent cube root function?

stretched by a factor of 8 and translated 64 units right and 5 units down

stretched by a factor of 2 and translated 64 units right and 5 units down

stretched by a factor of 2 and translated 8 units right and 5 units down

stretched by a factor of 8 and translated 8 units right and 5 units down

Free Preview

The increase in a person’s body temperature cap t times t , above 98.6 degrees F, can be modeled by the function cap t times t is equal to the fraction with numerator 4 t and denominator t squared plus 1 , where t represents time elapsed. What is the meaning of the horizontal asymptote for this function?

The horizontal asymptote of y is equal to 0 means that the person’s temperature will approach 0 degrees F as time elapses.

The horizontal asymptote of y is equal to 4 means that the person’s temperature will approach 4 degrees F as time elapses.

The horizontal asymptote of y is equal to 0 means that the person’s temperature will approach 98.6 degrees F as time elapses.

The horizontal asymptote of y is equal to 4 means that the person’s temperature will approach 102.6 degrees F as time elapses.

Which of the following is the complete list of roots for the polynomial function f of x is equal to open paren x squared plus 6 x plus 8 close paren times open paren x squared plus 6 x plus 13 close paren ?

negative 2 , negative 4 , negative 3 plus 2 i , negative 3 minus 2 i

negative 2 , negative 4

negative 2 , negative 4 , negative 3 plus 2 i , 3 plus 2 i

negative 3 plus 2 i , negative 3 minus 2 i

Which of the following describes the roots of the polynomial function f of x is equal to open paren x plus 2 close paren squared times open paren x minus 4 close paren times open paren x plus 1 close paren cubed ?

2 with multiplicity 2 comma negative 4 with multiplicity 1 , and 1 with multiplicity 3

negative 2 with multiplicity 2 comma 4 with multiplicity 1 , and negative 1 with multiplicity 3

negative 2 with multiplicity 3 comma 4 with multiplicity 2 comma and negative 1 with multiplicity 4

2 with multiplicity 3 comma negative 4 with multiplicity 2 , and 1 with multiplicity 4

What are the solutions of the equation open paren x minus 3 close paren squared plus 2 times open paren x minus 3 close paren minus 8 is equal to 0 ? Use u substitution to solve.

x is equal to negative 1 and x is equal to negative 7

x is equal to negative 5 and x is equal to 1

x is equal to negative 1 and x is equal to 5

x is equal to 1 and x is equal to 7

What are the solutions of the equation open paren 2 x plus 3 close paren squared plus 8 times open paren 2 x plus 3 close paren plus 11 is equal to 0 ? Use u substitution and the quadratic formula to solve.

x is equal to negative 1 and x is equal to 4

x is equal to the fraction with numerator negative 7 plus or minus square root of 5 and denominator 2

x is equal to negative 7 and x is equal to negative 2

x is equal to the fraction with numerator negative 4 plus or minus square root of 5 and denominator 2

What are the solutions of the equation x to the 4th power minus 5 x squared minus 14 is equal to 0 ? Use factoring to solve.

x is equal to plus or minus i square root of 7 and x is equal to plus or minus i square root of 2

x is equal to plus or minus i square root of 7 and x is equal to plus or minus square root of 2

x is equal to plus or minus square root of 7 and x is equal to plus or minus i square root of 2

x is equal to plus or minus square root of 7 and x is equal to plus or minus square root of 2

Which graph represents y is equal to cube root of x ?

Image with description On a coordinate plane, the x and y axes ranging from negative 9 to 9 in increments of 1, with major tick marks at even integers. A curve passes through the origin (0 comma 0). The curve increases from the bottom left to the top right, passing through points such as (negative 2 comma negative 8), (negative 1 comma negative 1), (1 comma 1), and (2 comma 8).

Image with description On a coordinate plane, the x and y axes ranging from negative 9 to 9 in increments of 1, with major tick marks at even integers. A parabolic curve, opening upwards, has its vertex at the origin (0 comma 0). The curve passes through points such as (1 comma 1), (negative 1 comma 1), (2 comma 4), and (negative 2 comma 4).

Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. A graph of cubic function passes through points (negative 8 comma negative 2), (0 comma 0), and (8 comma 2). The curve has a point of inflection at the origin.

Image with description On a coordinate plane, the x and y axes ranging from negative 9 to 9 in increments of 1, with major tick marks at even integers. A curve starts at the origin (0 comma 0). The curve extends upwards and to the right, passing through points (1 comma 1), (4 comma 2) and (8 comma 3) in first quadrant.

Which is the polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and roots square root of 5 and 2 ?

f of x is equal to x squared minus 7 x plus 10

f of x is equal to 3 x cubed minus 6 x squared minus 15 x plus 30

f of x is equal to x cubed minus 2 x squared minus 5 x plus 10

f of x is equal to 3 x squared minus 21 x plus 30

Which function is undefined for x is equal to 0 ?

y is equal to square root of x minus 2 end root

y is equal to cube root of x minus 2

y is equal to square root of x plus 2 end root

y is equal to cube root of x plus 2

If the range of f of x is equal to square root of m x and the range of g of x is equal to m square root of x are the same, which statement is true about the value of m ?

m can be any positive real number.

m can only equal 1 .

m can be any real number.

m can be any negative real number.

Which polynomial function has a leading coefficient of 1 , roots negative 2 and 7 with multiplicity 1 , and root 5 with multiplicity 2 ?

f of x is equal to open paren x minus 7 close paren times open paren x minus 5 close paren times open paren x minus 5 close paren times open paren x plus 2 close paren

f of x is equal to open paren x plus 7 close paren times open paren x plus 5 close paren times open paren x plus 5 close paren times open paren x minus 2 close paren

f of x is equal to 2 open paren x plus 7 close paren open paren x plus 5 close paren open paren x minus 2 close paren

f of x is equal to 2 open paren x minus 7 close paren open paren x minus 5 close paren open paren x plus 2 close paren

How does the graph of g of x is equal to the fraction with numerator 1 and denominator x plus 4 minus 6 compare to the graph of the parent function f of x is equal to 1 over x ?

g of x is shifted 4 units right and 6 units down from f of x .

g of x is shifted 4 units left and 6 units down from f of x .

g of x is shifted 4 units right and 6 units up from f of x .

g of x is shifted 4 units left and 6 units up from f of x .

Three roots of a fifth degree polynomial function f of x are negative 2 , 2 , and 4 plus i Which statement describes the number and nature of all roots for this function?

f of x has five real roots.

f of x has three real roots.

f of x has two real roots and one imaginary root.

f of x has three real roots and two imaginary roots.

Which graph represents the function f of x is equal to the fraction with numerator 2 x and denominator x squared minus 1 ?

Image with description A coordinate plane with a graph showing three branches. The branch on the left approaches y equals 2 as x approaches negative infinity from the right and approaches infinity as x approaches negative 1 from the left. The branch in the middle approaches negative infinity as x approaches negative 1 from the right and approaches negative infinity as x approaches 1 from the left. The branch on the right approaches infinity as x approaches 1 from the right and approaches y equals 2 as x approaches infinity from the left.

Image with description A coordinate plane with a graph showing two branches. The branch on the left approaches y equals 1 as x approaches negative infinity from the right and approaches negative infinity as x approaches 0 from the left. The branch on the right approaches negative infinity as x approaches 1 from the right and approaches y equals 1 as x approaches infinity from the left.

Image with description A coordinate plane with a graph showing two branches. The branch on the left approaches y equals 2 as x approaches negative infinity from the right and approaches negative infinity as x approaches 1 from the left. The branch on the right approaches infinity as x approaches 1 from the right and approaches y equals 2 as x approaches infinity from the left.

Image with description A coordinate plane with a graph showing three branches. The branch on the left approaches the x-axis as x approaches negative infinity from the right and approaches negative infinity as x approaches negative 1 from the left. The branch in the middle approaches infinity as x approaches negative 1 from the right and approaches negative infinity as x approaches 1 from the left. It has a turning point at the origin. The branch on the right approaches infinity as x approaches 1 from the right and approaches the x-axis as x approaches infinity from the left.

Which statement best describes the equation open paren x plus 5 close paren squared plus 4 times open paren x plus 5 close paren plus 12 is equal to 0 ?

The equation is not quadratic in form because there is no real solution.

The equation is quadratic in form because it can be rewritten as a quadratic equation with u substitution u is equal to open paren x plus 5 close paren .

The equation is quadratic in form because when it is expanded, it is a fourth-degree polynomial.

The equation is not quadratic in form because it cannot be solved by using the quadratic formula.

Which equation is quadratic in form?

x to the 9th power plus x cubed minus 10 is equal to 0

6 x to the 4th power plus 7 x squared minus 3 is equal to 0

5 x to the 6th power plus x to the 4th power plus 12 is equal to 0

3 x to the 5th power plus 8 x cubed plus 6 is equal to 0

Which statement describes the graph of this polynomial function? f of x is equal to x to the 5th power minus 6 x to the 4th power plus 9 x cubed

The graph crosses the x -axis at x is equal to 0 and touches the x -axis at x is equal to 3 .

The graph touches the x -axis at x is equal to 0 and crosses the x -axis at x is equal to 3 .

The graph touches the x -axis at x is equal to 0 and crosses the x -axis at x is equal to negative 3 .

The graph crosses the x -axis at x is equal to 0 and touches the x -axis at x is equal to negative 3 .

What are the equations of the asymptotes of the graph of the function f of x is equal to the fraction with numerator 3 x squared minus 2 x minus 1 and denominator x squared plus 3 x minus 10 ?

x is equal to negative 2 , x is equal to 5 and y is equal to 3

x is equal to 3 , y is equal to negative 5 , and y is equal to 2

x is equal to 3 , y is equal to negative 2 , and y is equal to 5

x is equal to negative 5 , x is equal to 2 and y is equal to 3

What is the polynomial function of lowest degree with leading coefficient 1 and roots 1 and 1 plus i ?

f of x is equal to x squared minus x plus 2

f of x is equal to x squared minus 2 x plus 2

f of x is equal to x cubed minus 3 x squared plus 4 x minus 2

f of x is equal to x cubed minus x squared plus 4 x minus 2

Did you find these answers helpful?

Functions: Part Three — Test Answers

More from this Course

TRY EDGENUITY HACKS