Quiz about Exponential & Quadratic Functions EOC Review

Question 1

A company uses the function $$g\left(x\right)=5\left(4\right)^x$$ to estimate the number of products sold x years after the product launch. What does the value 4 represent in the function?

Accepted Answer

The number of products sold quadruples every year.

Answer

The company initially sold 4 products.

Answer

The number of products sold increases by 4% each year.

Answer

The number of products sold increases by 4 each year.

Question 2

A certain bank charges a fee on savings accounts that are left inactive for a long period. The equation $$f\left(x\right)=3000\left(0.97\right)^x$$ represents the value of one account that was left inactive for a period of x years. What does the y-intercept of the graph of this equation represent?

Accepted Answer

the initial amount of money in the account

Answer

the percentage decrease in the account value per year

Answer

the amount of money in the account after x years

Answer

the total fees charged over x years

Question 3

What is the value of f(3) for the function $$f\left(x\right)=3\left(1.5\right)^x$$ ? Round your answer to the nearest tenth.

Accepted Answer

10.13

Answer

6.75

Answer

15.19

Answer

20.25

Question 4

The population of a certain type of bacteria in a lab sample after n hours is given by the function in the picture. How many bacteria are in the population after 5 hours?

Accepted Answer

640

Answer

1,280

Answer

2,560

Answer

5,120

Question 5

Consider the following two functions: $$h\left(x\right)=5\cdot2^x$$ and $$k\left(x\right)=10x+20$$ . What is the smallest integer value of x such that $$h\left(x\right)>k\left(x\right)$$ ?

Accepted Answer

D. 4

Answer

A. 1

Answer

B. 2

Answer

C. 3

Question 6

Which choice is the graph of y = (x - 3)(x + 5)?

Accepted Answer

Question 7

A company models its revenue, in thousands of dollars, with the function $$g\left(x\right)=8x^2-4x-48$$ , where x is the number of units of its product sold. How many units of its product does the company need to sell in order for the revenue to equal $0?

Accepted Answer

C. 6

Answer

A. 2

Answer

B. -2

Answer

D. 48

Question 8

What is the value of the smaller zero of the function $$g\left(x\right)=2x^2-5x-12$$ ?

Accepted Answer

x = -1.5

Answer

x = 4

Answer

x = -12

Answer

x = 0.25

Question 9

The population of Cary, NC in the year 2000 was 97,400 people. The population steadily grew by 2.5% each year. Which function relates to the situation? Let Population (P) be a function of time (t)

Accepted Answer

P(t)=97400(1.025)^t

Answer

P(t)=97400+2.5t

Answer

P(t)=97400(2.5)^t

Answer

P(t)=97400(1.25)^t

Exponential & Quadratic Functions EOC Review

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