Unit Test — Unit test

Question 1

What is the vertex of the graph of f(x) = |x + 3| + 7?

Revolt · Accepted Answer

(–3, 7)

Question 2

On a coordinate plane, an absolute value graph has a vertex at (negative 4, negative 2).

Revolt · Accepted Answer

g(x) = |x + 4| – 2

Question 3

Fuaad solved an absolute value inequality and expressed the solution as . What is another way to show Fuaad’s solution?

Revolt · Accepted Answer

mc008-3.jpg

Question 4

Which of the following gives a single solution of the inequality and shows a graph that can be used to determine the entire solution set of the inequality?

Revolt · Accepted Answer

x = –1

Question 5

Which is the graph of reflected across the x-axis, translated 3 units left, 4 units up, and dilated by a factor of 4?

Revolt · Accepted Answer

mc026-3.jpg

Question 6

Manuela solved the equation 3−2|0.5x+1.5|=2 for one solution. Her work is shown below.3−2|0.5x+1.5|=2 −2|0.5x+1.5|=−1 |0.5x+1.5|=0.5 0.5x+1.5=0.5 0.5x=−1 x=−2

Revolt · Accepted Answer

x=−4

Question 7

On the freeway, it is unsafe to drive too slowly or too quickly. The safest driving speeds on the freeway near Allan’s town were scientifically determined to be between the minimum and maximum speeds (in miles per hour) according to the equation |x – 55| = 4.2. Which equation can be used to determine the maximum safe driving speed?

Revolt · Accepted Answer

x – 55 = 4.2

Question 8

Which describes the range of the parent absolute value function?

Revolt · Accepted Answer

{y|y > 0}

Question 9

Which graph shows the solution to the inequality ?

Revolt · Accepted Answer

mc013-3.jpg

Question 10

The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?

Revolt · Accepted Answer

(–∞, –1)

Unit Test — Unit test Answers

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