AnswersAlgebra IIFunctions: Part Three

Functions: Part Three — Test Answers

25 verified answers
21
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Which of the following is the graph of y is equal to square root of negative x minus 3 end root ?

A
Image with description On a coordinate plane, the x and y axes range from negative 9 to 9 with increments of 1. The curve opens up and to the right in quadrants III and IV. The origin of the curve is negative 3 comma 0. The curve passes through the point 0 comma 1 point 6 and 6 comma negative 3, and end at 9 comma negative 3 point 5. The arrow is present on both end of the curve.
B
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve opens down and to the left in quadrant 2. The origin of the curve is (negative 3 comma 0) and passes through (negative 7 comma 2).
C
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve originates from (3 comma 0) and decreases into the fourth quadrant. It passes through points (4 comma negative 1) and (7 comma negative 2).
D
Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve originates from (3 comma 0) and passes through points (negative 1 comma 2) and (negative 6 comma 3) in the 2nd quadrant.
22
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Which polynomial function has a leading coefficient of 2 , root negative 4 with multiplicity 3 , and root 10 with multiplicity 1 ?

A
f of x is equal to 2 open paren x minus 4 close paren open paren x minus 4 close paren open paren x minus 4 close paren open paren x plus 10 close paren
B
f of x is equal to 2 open paren x plus 4 close paren open paren x plus 4 close paren open paren x plus 4 close paren open paren x minus 10 close paren
C
f of x is equal to 3 open paren x plus 4 close paren open paren x plus 4 close paren open paren x minus 10 close paren
D
f of x is equal to 3 open paren x minus 4 close paren open paren x minus 4 close paren open paren x plus 10 close paren
23

If 9 i is a root of the polynomial function f of x , which of the following must also be a root of f of x ?

A
negative 1 ninth i
B
1 ninth i
C
9 minus i
D
negative 9 i
24

Which graph represents the function f of x is equal to 4 over x ?

A
Image with description A coordinate plane with a graph showing two branches. The branch on the left approaches the x-axis as x approaches negative infinity from the right and approaches the y-axis as x approaches 0 from the left. Its turning point is near (negative 2 comma negative 2). The branch on the right approaches the y-axis as x approaches 0 from the right and approaches the x-axis as x approaches infinity from the left. Its turning point is near (2 comma 2).
B
Image with description A line graph on a Cartesian coordinate plane shows a rational function with two separate branches. The x-axis and y-axis are labeled with even integer values from negative 8 to 8. One branch lies in the first quadrant, passing through (1 comma 1) and approaching both axes without touching them. The second branch lies in the third quadrant, passing through (negative 1 comma negative 1) and also approaching both axes asymptotically.
C
Image with description A coordinate plane with a graph showing two branches. The branch on the left approaches the x-axis as x approaches negative infinity from the right and approaches the y-axis as x approaches 0 from the left. Its turning point is near (negative 1 comma 1). The branch on the right approaches the y-axis as x approaches 0 from the right and approaches the x-axis as x approaches infinity from the left. Its turning point is near (1 comma negative 1).
D
Image with description A coordinate plane with a graph showing two branches. The branch on the left approaches the x-axis as x approaches negative infinity from the right and approaches the y-axis as x approaches 0 from the left. Its turning point is near (negative 2 comma 2). The branch on the right approaches the y-axis as x approaches 0 from the right and approaches the x-axis as x approaches infinity from the left. Its turning point is near (2 comma negative 2).
25

What must be a factor of the polynomial function f of x graphed on the coordinate plane?

A
x minus 1
B
x plus 3
C
x plus 1
D
x minus 3

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Functions: Part Three — Test Answers — Algebra II