Answers Algebra II - MA3111 A-CRUnit Test

Unit Test — Unit test Answers

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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

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The value, V(m), of a comic book m months after publication has an average rate of change of –0.04 between m = 36 and m = 60. Which statement must be true?

The value of the comic book decreased by a total of $0.04 between m = 36 and m = 60.

The value of the comic book increased by a total of $0.04 between m = 36 and m = 60.

The value of the comic book decreased by an average of $0.04 each month between m = 36 and m = 60.

The value of the comic book increased by an average of $0.04 each month between m = 36 and m = 60.

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

–439

–141

153

443

Which of the following is an odd function?

f(x) = x3 + 5x2 + x

f (x) = StartRoot x EndRoot

f(x) = x2 + x

f(x) = –x

Which function has an inverse that is also a function?

g(x) = 2x – 3

k(x) = –9x2

f(x) = |x + 2|

w(x) = –20

The table shows how far a distance runner has traveled since the race began. What is her average rate of change, in miles per hour, during the interval 0.75 to 1.00 hours?Time Elapsed (Hours)Miles Traveled (Miles)0.502.000.753.501.004.75

4.75 miles per hour

5.00 miles per hour

5.50 miles per hour

6.00 miles per hour

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

Which of the following is an even function?

g(x) = (x – 1)2 + 1

g(x) = 2x2 + 1

g(x) = 4x + 2

g(x) = 2x

What is the value of the following function when x = 0?

y = negative 5

y = negative 2

y = negative 1

y = 0

If and , what is the domain of ?

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

Eleven-halves

StartFraction 27 Over 10 EndFraction

160

270

Given , find f(7).

–4

If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a point on the graph?

Since the function is even, the outputs of a negative x-value and a positive x-value are the same.

Since the function is even, the outputs of a negative y-value and a positive y-value are the same.

The graph has rotational symmetry, so the point will be reflected across the y-axis.

The graph has rotational symmetry, so the point will be rotated 90 degrees about the origin.

Which graph represents an odd function?

There are 6 points on a coordinate plane. The points are (negative 5, 3), (negative 3, 1), (negative 1, 1), (1, 3), (3, negative 5), (5, negative 1).

There are 8 points on a coordinate plane. The points are (negative 4, 2), (negative 3, negative 1), (negative 1, negative 3), (0, 1), (1, 0), (2, negative 4), (4, 5), (5, 4).

There are 8 points on a coordinate plane. The points are (negative 4, 0), (negative 3, 1), (negative 2, negative 3), (negative 1, negative 2), (1, 2), (2, 3), (3, negative 1), (4, 0)

There are 11 points on a coordinate plane. The points are (negative 4, 3), (negative 4, 4), (negative 3, 5), (negative 2, 1), (negative 1, negative 1), (0, negative 3), (1, negative 1), (2, 1), (3, 5), (4, 3), (4, 4).

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?