Answers LAUSD-Algebra II B Prescriptive - SummerUnit Test

Graphing Exponential Functions Answers

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Which statement describes the graph of this polynomial function?

The graph crosses the x-axis at x = 0 and touches the x-axis at x = 3.

The graph touches the x-axis at x = 0 and crosses the x-axis at x = 3.

The graph crosses the x-axis at x = 0 and touches the x-axis at x = –3.

The graph touches the x-axis at x = 0 and crosses the x-axis at x = –3.

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Which of the following is the graph of ?

On a coordinate plane, an absolute value curve opens up and to the right in quadrant 4. It starts at x = 3.

On a coordinate plane, an absolute value curve opens down and to the left in quadrants 1 and 2. It starts at x = 3.

On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2. It starts at x = negative 3.

On a coordinate plane, an absolute value curve opens up and to the right in quadrants 3 and 4. It starts at x = negative 3.

Which of the following describes the graph of compared to the parent cube root function?

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

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

Which statement best describes the equation (x + 5)2 + 4(x + 5) + 12 = 0?

The equation is quadratic in form because it can be rewritten as a quadratic equation with u substitution u = (x + 5).

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.

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

Which of the following is the complete list of roots for the polynomial function ?

–3 + 2i, –3 – 2i

–2, –4

–2, –4, –3 + 2i, –3 – 2i

–2, –4, –3 + 2i, 3 + 2i

Which graph represents the function ?

On a coordinate plane, a hyperbola is shown. A curve opens up and to the right in quadrant 1, and another curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0.

On a coordinate plane, a hyperbola is shown. A curve opens up and to the right in quadrant 1, and another curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0.25.

On a coordinate plane, a hyperbola is shown. A curve opens up and to the left in quadrant 2, and another curve opens down and to the right in quadrant 4. A vertical asymptote is at x = 0.

On a coordinate plane, a hyperbola is shown. A curve opens up and to the left in quadrant 2, and another curve opens down and to the right in quadrant 4. A vertical asymptote is at x = 0.25.

The increase in a person’s body temperature T(t), above 98.6ºF, can be modeled by the function , where t represents time elapsed. What is the meaning of the horizontal asymptote for this function?

The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses.

The horizontal asymptote of y = 0 means that the person’s temperature will approach 0ºF as time elapses.

The horizontal asymptote of y = 4 means that the person’s temperature will approach 102.6ºF as time elapses.

The horizontal asymptote of y = 4 means that the person’s temperature will approach 4ºF as time elapses.

What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0? Use u substitution and the quadratic formula to solve.

x = StartFraction negative 4 plus-or-minus StartRoot 5 EndRoot Over 2 EndFraction

x = StartFraction negative 7 plus-or-minus StartRoot 5 EndRoot Over 2 EndFraction

x = –7 and x = –2

x = –1 and x = 4

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

f (x) = 3 x cubed minus 6 x squared minus 15 x + 30

f (x) = x cubed minus 2 x squared minus 5 x + 10

f (x) = 3 x squared minus 21 x + 30

f (x) = x squared minus 7 x + 10

What is the polynomial function of lowest degree with lead coefficient 1 and roots 1 and 1 + i?

f(x) = x2 – 2x + 2

f(x) = x3 – x2 + 4x – 2

f(x) = x3 – 3x2 + 4x – 2

f(x) = x2 – x + 2

What are the solutions of the equation (x – 3)2 + 2(x – 3) – 8 = 0? Use u substitution to solve.

x = –5 and x = 1

x = –1 and x = 5

x = –1 and x = –7

x = 1 and x = 7

Which polynomial function has a leading coefficient of 2, root –4 with multiplicity 3, and root 10 with multiplicity 1?

f(x) = 2(x – 4)(x – 4)(x – 4)(x + 10)

f(x) = 2(x + 4)(x + 4)(x + 4)(x – 10)

f(x) = 3(x – 4)(x – 4)(x + 10)

f(x) = 3(x + 4)(x + 4)(x – 10)

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

f(x) = 2(x + 7)(x + 5)(x – 2)

f(x) = 2(x – 7)(x – 5)(x + 2)

f(x) = (x + 7)(x + 5)(x + 5)(x – 2)

f(x) = (x – 7)(x – 5)(x – 5)(x + 2)

Which function is undefined for x = 0?

y = RootIndex 3 StartRoot x minus 2 EndRoot

y = StartRoot x minus 2 EndRoot

y = RootIndex 3 StartRoot x + 2 EndRoot

y = StartRoot x + 2 EndRoot

Which equation is quadratic in form?

3x5 + 8x3 + 6 = 0

6x4 + 7x2 – 3 = 0

5x6 + x4 + 12 = 0

x9 + x3 – 10 = 0

If the range of and the range of are the same, which statement is true about the value of m?

m can only equal 1.

m can be any positive real number.

m can be any negative real number.

m can be any real number.

Three roots of a fifth degree polynomial function f(x) are –2, 2, and 4 + i. Which statement describes the number and nature of all roots for this function?

f(x) has two real roots and one imaginary root.

f(x) has three real roots.

f(x) has five real roots.

f(x) has three real roots and two imaginary roots.

Which graph represents the function ?

On a coordinate plane, a hyperbola and parabola are shown. The hyperbola has a curve in quadrants 1 and 2. The parabola opens down and has a vertex at (0, 0).

On a coordinate plane, a hyperbola and a cubic functions are shown. They hyperbola has curves in quadrants 1 and 3, and the cubic function goes through (0, 0).