Answers Common Core Algebra II - MA3111 CRUnit Test

Unit Test — Unit test Answers

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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).

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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).

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

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

Eleven-halves

StartFraction 27 Over 10 EndFraction

160

270

Given , find f(7).

–4

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 graph can be used to find the solution(s) to 4x = –4x?

Option

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.

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

–6

Negative one-half

One-fourth

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 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

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.

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

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

infinitely many

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

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

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.

To determine whether a graph of a relation is also a function, Shayla declares that the y-axis is a vertical line and counts the number of times that the graph intersects the y-axis. If the graph has exactly one y-intercept, Shayla concludes that the graph shows a function. In all other cases, she declares that it is not a function. Is Shayla applying the vertical line test correctly?

No, because the y-axis is a horizontal line.

No, because using the y-axis tests only whether x = 0 is mapped to multiple values.

Yes, because multiple y-intercepts represent multiple x-values being mapped to y = 0.

Yes, because the y-axis represents all vertical lines of the x-values.

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