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Exponential Functions - Review

Total questions: 15

Worksheet time: 17mins

Name
Class
Date
1.

Which inequality best represents the domain of the part shown?

a)

y ≥ 4.5

b)

x ≥ -2

c)

x ≥ 4.5

d)

y ≥ -2

2.

Which inequality best represents the range of the part shown?

a)

y ≥ 4.5

b)

x ≥ -2

c)

x ≥ 4.5

d)

y ≥ -2

3.

How much was the intial deposit?

(a)  

4.

Which statement is the best interpretation of one of the values in this exponential function?

a)

The balance in the account increases at a rate of 2.5% each year.

b)

The initial balance of the account was $1,025.

c)

The balance in the account decreases at a rate of 102.5% each year.

d)

The balance in the account increases at a rate of 25% each year.

5.

What was the intitial number of bacteria in the sample?

(a)  

6.

Is this exponential function growth or decay?

a)

Growth

b)

Decay

c)

Maybe

d)

No

7.

At what rate (as a percent) is the bacteria increasing per day?

(a)  

8.

How many bacteria total are there after 13 days? (Round to the nearest whole number)

(a)  

9.

Mr. G is losing 20% of his hair each year. If he currently has 1,546 hairs on his head, about how many hairs will he have left after 10 years?



(a)  

10.

Mr. G is losing 20% of his hair each year. If he currently has 1,546 hairs on his head, which exponential function best models his hair loss?

a)

f(x)=80(1.02)xf\left(x\right)=80\left(1.02\right)^x  

b)

f(x)=1546(1.20)xf\left(x\right)=1546\left(1.20\right)^x  

c)

f(x)=20(1546)xf\left(x\right)=20\left(1546\right)^x  

d)

f(x)=1546(0.80)xf\left(x\right)=1546\left(0.80\right)^x  

11.

What is the value of the y-intercept of the graph of h(x)=42(0.85)xh\left(x\right)=42\left(0.85\right)^x  ?

(a)  

12.

Does the following exponential function represent growth or decay? h(x)=680(0.73)xh\left(x\right)=680\left(0.73\right)^x  

a)

Growth

b)

Decay

c)

Maybe

d)

No

13.

Which of the following exponential functions best models the cooling of the hot chocolate?

a)

T(m)=150(1.15)xT\left(m\right)=150\left(1.15\right)^x  

b)

T(m)=150(0.85)xT\left(m\right)=150\left(0.85\right)^x  

c)

T(m)=85(150)xT\left(m\right)=85\left(150\right)^x  

d)

T(m)=85(15)xT\left(m\right)=85\left(15\right)^x  

14.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
15.

Which exponential function best models the data in the table?

a)

g(x)=26001(1.80)xg\left(x\right)=26001\left(1.80\right)^x  

b)

g(x)=539700(1.08)xg\left(x\right)=539700\left(1.08\right)^x  

c)

g(x)=36492(1.08)xg\left(x\right)=36492\left(1.08\right)^x  

d)

g(x)=86293(0.80)xg\left(x\right)=86293\left(0.80\right)^x