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Exponential Graphs/Vocab

Total questions: 25

Worksheet time: 19mins

Name
Class
Date
1.

What is the asymptote of y = 2x - 3

a)

y = 0

b)

y = -3

c)

x = 0

d)

x = -3

2.
What is the transformation?
a)
Left 5
b)
Right 5
c)
Up 5
d)
Down 5
3.

What is the asymptote of y = 2x-3 ?

a)

y = 0

b)

y = -3

c)

x = 0

d)

x = -3

4.
Classify the following graph.
a)
Exponential Growth
b)
Exponential Decay
c)
Logarithmic
5.

Using the parent function  y=2xy=2^x  
Describe the transformations for y=2x+5−7y=2^{x+5}-7  .

a)

Right 5 units and down 7 units

b)

Left 5 units and down 7 units

c)

Left 7 units and up 5 units

d)

Right 7 units and down 5 units

6.

Describe the transformations of the exponential function shown.

a)

Vertical Stretch by a factor of 7, shift left 4, and shift down 7.

b)

Vertical Stretch by a factor of 7, shift right 4, and shift down 7.

c)

Vertical Shrink by a factor of 7, shift left 4, and shift down 7.

d)

Vertical Stretch by a factor of 7, shift left 4, and shift up 7.

7.
What is the y-intercept of the function?
a)

(0,2)

b)

(0,3)

c)

(0,1)

d)

(0,-2)

8.
Is this exponential growth or decay?
a)
Growth
b)
Decay
9.
Whats the horizontal asymptote?
a)
y=1
b)
y=0
c)
(0,-1)
d)
y=-1
10.

Which of the following is an exponential function?

a)

y = x2

b)

f(x) = 3x3

c)

y = x3

d)

f(x) = 3x

11.

What is the initial value in y=4(2)x

a)

4

b)

2

c)

x

12.

What type of function has a graph that is a "J" or an "L" shape?

a)

Linear

b)

Quadratic

c)

Exponential

13.

The asymptote is always written as...

a)

x=

b)

y=

c)

a(b)x

14.

The domain is...

a)

All of the x values, from left to right

b)

All of the x values, from right to left

c)

All of the y values, from bottom to top

d)

All of the y values, from top to bottom

15.

The range is...

a)

All of the x values, from left to right

b)

All of the x values, from right to left

c)

All of the y values, from bottom to top

d)

All of the y values, from top to bottom

16.

Exponential growth is when...

a)

The base is bigger than one

b)

The base is smaller than one

c)

The initial value is positive

d)

The initial value is negative

17.

Exponential decay is when...

a)

The base is bigger than one

b)

The base is smaller than one

c)

The initial value is positive

d)

The initial value is negative

18.

The graph is a _______________

a)

Exponential Growth

b)

Exponential Decay

c)

Positive quadratic

d)

Negative quadratic

19.

This is the horizontal line which the values of the function cannot fall below :

a)

Asymptote

b)

Growth Factor

c)

Axis of symmetry

d)

Curve

20.
What transformations have happened to f(x) = 2x if the new equation is
 g(x) = -2(x+3) -6
a)
It stayed the same
b)
reflects, up 3, left 6
c)
reflects, right 3, down 6
d)
reflects, left 3, down 6
21.

What is the Range of this function?

a)

y> 0

b)

x> 0

c)

All Real Numbers

d)

y= 1

22.

The domain for all exponential functions is

a)

(−∞,∞)\left(-\infty,\infty\right)

b)

(0,∞)\left(0,\infty\right)

c)

(−∞, 0)\left(-\infty,\ 0\right)

d)

the x-values greater than the asymptote

23.

Which of these functions shows exponential GROWTH?

a)

f(x)=3(27)xf\left(x\right)=3\left(\frac{2}{7}\right)^x

b)

f(x)=−2(0.99)xf\left(x\right)=-2\left(0.99\right)^x

c)

f(x)=89xf\left(x\right)=\frac{8}{9}^x

d)

f(x)=12(85)xf\left(x\right)=\frac{1}{2}\left(\frac{8}{5}\right)^x

24.

Name the range.

a)

x> -4

b)

y > -5

c)

y < -4

d)

x < -5

25.

Choose the equation that shows the following transformations to the parent function of y=4xy=4^x :

Vertical Stretch of 8 and Translates Left 9

a)

y=8⋅4(x−9)y=8\cdot4^{\left(x-9\right)}

b)

y=8⋅4(x+9)y=8\cdot4^{\left(x+9\right)}

c)

y=4(x−9)+8y=4^{\left(x-9\right)}+8

d)

y=4(x+9)+8y=4^{\left(x+9\right)}+8