Answers Algebra II - MA3111 CRUnit Test

Unit Test — Unit test Answers

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

y = negative 5

y = negative 2

y = negative 1

y = 0

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Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression. He sets the expressions equal to y and graphs the equations. What is the greatest possible number of intersections for these graphs?

none

one

two ✓ Correct

infinitely many

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

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

Eleven-halves

StartFraction 27 Over 10 EndFraction

160

270

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)

Given , what is the average rate of change in f(x) over the interval [1, 5]?

–6

Negative one-half

One-fourth

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.

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

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 the same relation as the table below?xf(x)–25011–12–3

A coordinate plane has 4 points. The points are (negative 2, 5), (negative 1, 1), (0, negative 1), and (negative 2, negative 3)

A coordinate plane has 8 points. The points are (negative 2, 0), (0, 5), (0, 1), (0, 0), (0, negative 1), (0, negative 3), (1, 0), (2, 0).

A coordinate plane has 4 points. The points are (negative 3, 2), (negative 1, 1), (1, 0), (5, negative 2)

A coordinate plane has 4 points. The points are (negative 2, 5), (0, 1), (1, negative 1), (2, negative 3).

The cost, c, of a ham sandwich at a deli varies directly with the number of sandwiches, n. If c = $54 when n is 9, what is the cost of the sandwiches when n is 3?

$18

$21

$27

$48

Becca graphs the equations y = –3(x – 1) and y = x – 5 to solve the equation –3(x – 1) = x – 5. Her graph is shown below.What are the solution(s) of –3(x – 1) = x – 5?

–5 and 3

–3

1 and 5

Russ is solving an equation where both sides are linear expressions. He sets the expressions equal to y and graphs the system finding that they are the same line. How should Russ interpret this outcome?

There are no intersection points.

There is exactly one intersection point.

There are exactly two intersection points.

There are infinitely many intersection points. ✓ Correct

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