Unit 4 Quiz 2 Recovery

The value of a car is decreasing at a rate of 3% per year. In 2014, the value was $20,000. Write an exponential decay function to model this situation.

(hint: the picture is an anchor chart for help)

Answer explanation

The word "decreasing" in word problem lets you know the parenthesis needs a "minus" sign.

The table represents a savings account over ten years. Write an equation that models this situation. Write your answer in the form:

y= a(b)^x

(the symbol ^ represents the exponent)

Answer explanation

What is the range for the graph.

(click graph to make it look bigger)

• (-ꝏ, ꝏ)

• (2, ꝏ)

• (-ꝏ, 2)

• (0, ꝏ)

Answer explanation

Imagine you are on an elevator that moves up and down. (Range refers to the lowest and highest level the elevator goes.)

The lowest level is 2 here.

The highest level is ꝏ here.

So the range is (2, ꝏ).

• 0

• 1

• -4

• 2

Answer explanation

X-intercept = (1, 0)

Y-intercept = (0, -4)

This question asks for the x-coordinate of the x-intercept. The value for this is 1 here.

• y= 1

• y= 3

• x= 10

• y= 10

• x= 3

• Y-intercept = 4

  Asymptote = -6

• Y-intercept = 10

  Asymptote = 6

• Y-intercept = 4

  Asymptote = 5

• Y-intercept = -2

  Asymptote = -6

Write an exponential function to represent the graph.

(click graph to make it look bigger)

Answer explanation

What is the average rate of change from x= 0 to x= 2?

Answer explanation

The rate of change from the interval x= 0 to x= 2 is shown on the image.

Find the average rate of change of the function on the interval [0, 3].

(click the graph to make it bigger)

Mathematical Equivalence

ON

• Asymptote is y = 6

• Asymptote is y = 3

• Asymptote is x = 6

• Asymptote is x = 3

Answer explanation