Quiz about Constructing Exponential Functions

Question 1

What is the value of b in the exponential function of the graph?

Accepted Answer

6

Answer

3

Answer

0.5

Question 2

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

Accepted Answer

y = 15(1.35)^x

Answer

y = 15(35)^x

Answer

y = 15(0.35)^x

Answer

y = 35(1.15)^x

Question 3

Is the pictured graph growth, decay, or linear or none?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None

Question 4

Question 4.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 5

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

Accepted Answer

y=5000(0.7)^x

Answer

y=30(5000)^x

Answer

y=5000(1.3)^x

Answer

y=5000xx

Question 6

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

Accepted Answer

y=15,000(1 - .08)^x

Answer

y=8(15,000)^x

Answer

y=15,000(1 + .08)^x

Answer

y=15,000(0.08)^x

Question 7

The function y = 125(1.13)^xrepresents Mr. Gantz's recent investments where x is measured in years. Which is NOT true?

Accepted Answer

Mr. Gantz earns more money in year one than in year 5

Answer

Mr. Gantz initial invested $125

Answer

Mr. Gantz's money grows by 13% per year

Answer

After 4 years Mr. Gantz will have about $203.81

Question 8

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

Accepted Answer

13

Answer

(.27)x

Answer

.27

Answer

3.51

Question 9

Given y=3^xdetermine the y-intercept

Accepted Answer

1

Answer

3

Answer

0

Answer

y

Question 10

The table contains some points on the graph of an exponential function.

Based on the table, which function represents the same relationship?

Accepted Answer

$$q\left(x\right)=0.0625\left(4\right)^x$$

Answer

$$q\left(x\right)=\left(0.25\right)^x$$

Answer

$$q\left(x\right)=256\left(0.25\right)^x$$

Answer

$$q\left(x\right)=0.5\left(4\right)^x$$

Question 11

The table represents some points on the graph of an exponential function.

Which function represents the same relationship?

Accepted Answer

$$f\left(x\right)=18\left(\frac{6}{5}\right)^x$$

Answer

$$f\left(x\right)=15\left(\frac{5}{6}\right)^x$$

Answer

$$f\left(x\right)=15\left(\frac{6}{5}\right)^x$$

Answer

$$f\left(x\right)=18\left(\frac{5}{6}\right)^x$$

Question 12

The value of a stock over time is shown in the table. Write an exponential function that models the value, $$V$$ , in dollars, after $$t$$ years.

Accepted Answer

$$V\left(t\right)=18\left(0.9\right)^t$$

Answer

$$V\left(t\right)=16.20\left(1.11\right)^t$$

Answer

$$V\left(t\right)=18\left(1.11\right)^t$$

Answer

$$V\left(t\right)=16.20\left(0.9\right)^t$$

Question 13

The graph of an exponential function is shown above. Construct a function to model this relationship.

Accepted Answer

$$f\left(x\right)=-3\left(2\right)^x$$

Answer

$$f\left(x\right)=3\left(2\right)^x$$

Answer

$$f\left(x\right)=-3\left(\frac{1}{2}\right)^x$$

Answer

$$f\left(x\right)=3\left(\frac{1}{2}\right)^x$$

Question 14

What does "b" represent?

Accepted Answer

growth/decay factor

Answer

initial amount

Answer

percent increase/decrease

Constructing Exponential Functions

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