Free Printable 1.1 Graphing Exponential Functions

1.

Exponential Growth or Decay?

$y=\left(\frac{7}{2}\right)^x$

a)

Decay

b)

Growth

2.

Exponential Growth or Decay?

$y=6^x$

a)

Decay

b)

Growth

3.

Exponential Growth or Decay?

$y=8\left(\frac{1}{4}\right)^x$

a)

Decay

b)

Growth

4.

Exponential Growth or Decay?

$y=\frac{1}{3}\left(5\right)^x$

a)

Decay

b)

Growth

5.

What is the domain and range of the function y=2^x? Use the graph to help!

a)

Domain: All real #'s

Range: y>0

b)

Domain: All real #'s Range: y>1

c)

Domain: All real #'s

Range: y> -1

d)

Domain: All real #'s

Range: y>4

6.

What is the equation that best represents the graph?

a)

y=2^y

b)

y=2^x

c)

y=2^-x

d)

y=x²

7.

For $f\left(x\right)=4\cdot3^x$ , find the correct graph, asymptote, domain, and range.

a)

b)

8.

For $f\left(x\right)=3^x$ , find the correct graph, asymptote, domain and range.

a)

b)

9.

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

10.

Y - Intercept?

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

a)

$\left(0,0\right)$

b)

(0, 4)

c)

$\left(0,-1\right)$

d)

$\left(0,1\right)$

11.

Asymptote?

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

a)

$y=0$

b)

$y=-1$

c)

$y=-5$

d)

$\left(0,1\right)$

12.

Asymptote?

$y=3^x-5$

a)

$y=0$

b)

$y=-1$

c)

$y=-5$

d)

$\left(0,1\right)$

13.

Range?

$y=3^x-5$

a)

$y>-5$

b)

$y>0$

c)

$y<5$

d)

$y>4$

14.

Growth or Decay?

$y=2^x+1$

a)

Decay

b)

Growth

15.

Asymptote?

$y=2^x+1$

a)

$y=2$

b)

y=0

c)

$y=1$

16.

Which table matches the following function?

$y=2^x+1$

a)

b)

c)

17.

What is value of the value of the y-intercept of the graph of $g\left(x\right)=73\left(\frac{4}{5}\right)^x$ ?

(a)

18.

Which graph best represents $y=5\left(\frac{1}{3}\right)^x$ ?

a)

b)

c)

d)

19.

What is the value of the y-intercept of the graph of $h\left(x\right)=29\left(5.2\right)^x$ ?

(a)

20.

Which graph best represents $y=10\left(0.85\right)^x$ ?

a)

b)

c)

d)

21.

Which statement about the graph of $y=8\left(0.25\right)^x$ is true?

a)

The coordinates of the x-intercept are (0.25, 0).

b)

The coordinates of the y-intercept are (0, 8).

c)

The equation of the asymptote is x = 0.

d)

The graph includes the point (2, 1).

22.

Which graph best represents $f\left(x\right)=2\left(5\right)^x$ ?

a)

b)

c)

d)

23.

The graph of an exponential function is shown on the grid. Which dashed line is an asymptote for the graph?

a)

Line q

b)

Line r

c)

Line s

d)

Line t

24.

Which statement about the graph of $y=\frac{1}{3}\left(\frac{2}{3}\right)^x$ is true?

a)

The graph has a vertical asymptote.

b)

The graph crosses the y-axis at $\left(0,\ \frac{2}{9}\right)$ .

c)

The graph has an asymptote at $y=\frac{1}{3}$ .

d)

The graph decreases from left to right.

25.

The starting annual salary for an office worker at a company is $29,000. If the company awards an annual increase of 6.2%, which graph models this situation after the office worker receives x annual increases?

a)

b)

c)

d)

26.

The number of stores opened by a coffee company can be modeled by the exponential function graphed on the grid, where x is the number of years since 1992. Based on the graph, which statement does NOT appear to be true?

a)

The coffee company had opened 400 stores by the end of 1992.

b)

The coffee company opened 100 stores in one year.

c)

Every year the number of stores the coffee company opened increased by 25%.

d)

Since 1992 the coffee company has opened 250 stores each year.

1.1 Graphing Exponential Functions

Total questions: 26

Worksheet time: 13mins

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