Introduction to Modeling with Functions — Unit test

Question 1

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)

Question 2

The data in the table represents the predicted price of a gallon of milk, y, for number of years, x.

Revolt · Accepted Answer

y = abx

Question 3

Which describes the range of the parent absolute value function?

Revolt · Accepted Answer

{y|y > 0}

Question 4

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

Revolt · Accepted Answer

(–3, 7)

Question 5

The table shows the value of a savings bond that doubles in value after 5 years.

Revolt · Accepted Answer

The bond had an original value of $50 and grows at a rate of 15%.

Question 6

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 7

The table shows the height of a candle as it is continuously burned.

Revolt · Accepted Answer

The candle starts at a height of 25 centimeters and burns at a rate of 2.5 centimeters per hour.

Question 8

A graph with both axes numbered 1 to 10. A line increases from 1 to 3 then decreases from 3 to 5.

Revolt · Accepted Answer

f(x) = –2(x – 5)(x – 1)

Question 9

Drew creates a table of ordered pairs representing the width and area of a dog pen.

Revolt · Accepted Answer

Drew has 36 feet of fencing and wants to represent the possible areas of the dog pen for possible widths.

Introduction to Modeling with Functions — Unit test Answers