Answers Crowley Summer 26 Credit Recovery Algebra 2 AUnit Test

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If f(x) = 7 + 4x and , what is the value of ?

Eleven-halves

StartFraction 27 Over 10 EndFraction

160

270

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If h(x) is the inverse of f(x), what is the value of h(f(x))?

f(x)

If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to ?

x3 – x2

–x3 + x2

–x3 + x2 – 1

x3 – x2 + 1

If , what is ?

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f Superscript negative 1 Baseline (x) = one-ninth x + 2

f Superscript negative 1 Baseline (x) = negative 2 x + one-ninth

If a(x) = 3x + 1 and , what is the domain of ?

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If and , what is the domain of ?

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If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?

(ab)(x)

(StartFraction a Over b EndFraction) (x)

(a – b)(x)

(a + b)(x)

The graph of f(x) is shown below.If f(x) and its inverse function, , are both plotted on the same coordinate plane, where is their point of intersection?

(0, 6)

(1, 4)

(2, 2)

(3, 0)

Which function has an inverse that is also a function?

g(x) = 2x – 3

k(x) = –9x2

f(x) = |x + 2|

w(x) = –20

If s(x) = 2 – x2 and t(x) = 3x, which value is equivalent to ?

–439

–141

153

443

If c(x) = 4x – 2 and d(x) = x2 + 5x, what is ?

4x3 + 18x2 – 10x

x2 + 9x – 2

16x2 + 4x – 6

4x2 + 20x – 2

If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?

(f + g)(x) 3 for all values of x

(f + g)(x) 6 for all values of x

The graphs of f(x) and g(x) are shown below. For what interval is the value of (f – g)(x) negative?

(negative infinity, negative 1)

(negative infinity, 2)

(0, 3)

(2, infinity)

The function f(x) is shown below.xf(x)–61–32255380If g(x) is the inverse of f(x), what is the value of f(g(2))?

–6

–3

Which graph shows a function whose inverse is also a function?

On a coordinate plane, 2 curves are shown. f (x) is a curve that starts at (0, 0) and opens down and to the right in quadrant 1. The curve goes through (4, 2). The inverse of f (x) starts at (0, 0) and curves up sharply and opens to the left in quadrant 1. The curve goes through (2, 4).

On a coordinate plane, 2 parabolas are shown. f (x) opens up and goes through (negative 2, 5), has a vertex at (0, negative 2), and goes through (2, 5). The inverse of f (x) opens right and goes through (5, 2), has a vertex at (negative 2, 0), and goes through (5, negative 2).

On a coordinate plane, two v-shaped graphs are shown. f (x) opens down and goes through (0, negative 3), has a vertex at (1, 3), and goes through (2, negative 3). The inverse of f (x) opens to the left and goes through (negative 3, 2), has a vertex at (3, 1), and goes through (negative 3, 0).

On a coordinate plane, two curved graphs are shown. f (x) sharply increases from (negative 1, negative 4) to (0, 2) and then changes directions and curves down to (1, 1). At (1, 1) the curve changes directions and curves sharply upwards. The inverse of f (x) goes through (negative 4, negative 1) and gradually curves up to (2, 0). At (2, 0) the curve changes directions sharply and goes toward (1, 1). At (1, 1), the curve again sharply changes directions and goes toward (3, 1).

If and d(x) = x + 3, what is the domain of (cd)(x)?

all real values of x

all real values of x except x = 2

all real values of x except x = –3

all real values of x except x = 2 and x = –3

A homeowner has an octagonal gazebo inside a circular area. Each vertex of the gazebo lies on the circumference of the circular area. The area that is inside the circle, but outside the gazebo, requires mulch. This area is represented by the function m(x), where x is the length of the radius of the circle in feet. The homeowner estimates that he will pay $1.50 per square foot of mulch. This cost is represented by the function g(m), where m is the area requiring mulch. Which expression represents the cost of the mulch based on the radius of the circle?