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LG 22 Practice Quiz (Exponential Functions and Transformations)

Total questions: 17

Worksheet time: 4hrs 15mins

Name
Class
Date
1.

What is the y-intercept of the function?

a)

A

(0,2)

b)

B

(0,3)

c)

C

(0,1)

d)

D

(0,-2)

2.

This graph represents:

a)

A

Exponential Growth

b)

B

Exponential Decay

c)

C

Direct Variation

d)

D

None of the above

3.

Is the pictured graph growth, decay, or linear?

a)

A

Exponential Growth

b)

B

Exponential Decay

c)

C

Linear

d)

D

None of the above

4.

What is the range of this graph?

a)

A

y = 6

b)

B

(0, -4)

c)

C

y > -6

d)

D

y < -6

5.

The point (1,0) is:

a)

A

a zero

b)

B

the y-intercept

c)

C

the domain

d)

D

the range

6.

What type of function is:

f(x) = 7(5/4)x?

a)

A

Exponential Growth

b)

B

Exponential Decay

c)

C

Linear

d)

D

None of the above

7.

Which equation matches the graph?

a)

A

f(x) = 2(2)x

b)

B

f(x) = 2(1/2)x

c)

C

f(x) = 2x

d)

D

f(x) = 1/2(2)x

8.

What kind of shift is represented?

f(x) = 2x-1

a)

A

up 1 unit

b)

B

left 1 unit

c)

C

right 1 unit

d)

D

down 1 unit

9.

What is the asymptote value in the function?

f(x) = 3(7)x + 2

a)

A

y = 3

b)

B

y = 2

c)

C

x = 3

d)

D

x = 2

10.

What does a in

y=a(1+r)x

represent?

a)

A

Time

b)

B

Rate

c)

C

Slope

d)

D

Initial Amount

11.

What is the horizontal asymptote and what transformations have taken place?

y = 2x+2 + 1

a)

A) y = 2

right 2, up 1

b)

B) y = 1

left 2, up 1

c)

C) y = 1

right 2, up 1

d)

D) y = 2

right 1, up 2

12.

What transformations have happened to y = 2x if the new equation is

y = -2(x+3) -6

a)

A

It stayed the same

b)

B

flips, up 3, left 6

c)

C

flips, right 3, down 6

d)

D

flips, left 3, down 6

13.

The function:

f(x) = 500 (2)x

represents the growth of bacteria over a 5 day period. What is an appropriate Domain for this function?

a)

A

0 ≤ X < ∞

b)

B

0 ≤ x ≤ 5

c)

C

500 ≤ x ≤ 16,000

d)

D

500 ≤ x ≤ ∞

14.

The function:

f(x) = 500 (2)x

represents the growth of bacteria over a 5 day period. What is an appropriate Range for this function?

a)

A

0 ≤ y < ∞

b)

B

0 ≤ y ≤ 5

c)

C

500 ≤ y 16,000

d)

D

500 ≤ y < ∞

15.

f(x) = a(b)x

If b = 0.5, the function represents

a)

A

linear

b)

B

growth

c)

C

quadratic

d)

D

decay

16.

Which exponential function passes through the points:

(4, 1536) & (2 , 96)

a)

A

f(x) = 4 ⋅ (6x)

b)

B

f(x) = 6⋅ (1/4x)

c)

C

f(x) = 4 ⋅ (6x) - 3

d)

D

f(x) = 6 ⋅ (4x)

17.

Which function is represented in the graph?

a)

A

f(x) = 3⋅ (1/4x) - 5

b)

B

f(x) = -2⋅ (1/4x) - 5

c)

C

f(x) = 3⋅ (4x) - 5

d)

D

f(x) = 3⋅ (4x) + 5