SKETCHING EXPONENTIAL FUNCTIONS WORKSHEET

Graph the exponential function.

Problem 1 :

y=15x
graph-of-expo-fun-q1

Solution

Problem 2 :

graph-of-expo-fun-q2.png

Solution

Problem 3 :

y=13x-5
graph-of-expo-fun-q3.png

Solution

Problem 4 :

y=12x-1
graph-of-expo-fun-q1.png

Solution

Sketch the graph of each function. Then, state the domain, range and y-intercept, and change of y-values of the function.

Problem 5 :

y=-612x

Domain:

Range:

Y-intercept:

Growth or Decay?

Solution

Problem 6 :

y =  0.5x

Domain

Range

y-intercept:

Growth or Decay?

Solution

Problem 7 :

y=72(2)x

Solution

Problem 8 :

y=812x

Solution

Problem 9 :

Graph the exponential function

y=13x

Solution

Match the function with its graph.

Problem 10 :

graph-of-expo-fun-q10.png
y=12x+4
y=12x+4
y=12x-4

Solution

Problem 11 :

y=12x+4

Solution

Problem 12 :

y=12x-4

Solution

Answer Key

1)  (-2, 25) (-1, 5) (0, 1) (1, 0.2) (2, 0.04)

graph-of-expo-fun-graph-q1.png

Horizontal asymptote: y = 0

2)  (-2, 8) (-1, 4) (0, 2) (1, 1) (2, 0.5)

graph-of-expo-fun-graph-q2.png

Horizontal asymptote: y = 0

3) (3, 9) (4, 3) (5, 1) (6, 0.33) (7, 0.11)

graph-of-expo-fun-graph-q3.png

Horizontal asymptote: y = 0

4) (-2, 3) (-1, 1) (0, 0) (1, -0.5) (2, -0.75)

graph-of-expo-fun-graph-q4.png

Horizontal asymptote: y = -1

5)  

Domain: All real numbers

Range: (-∞, 0)

y-intercept: (0, -6)

Growth or Decay? Growth

graph-of-expo-fun-q5.png

6)  

Domain:  All real numbers

Range: (0, ∞)

y-intercept:  (0, 1)

Growth or Decay : Decay

graph-of-expo-fun-q6.png

7)  

Domain: All real numbers

Range: (0, ∞)

y-intercept: (0, 7/2)

Growth or Decay? Growth

graph-of-expo-fun-q7.png

8)  

Domain: All real numbers

Range: (0, ∞)

y-intercept: (0, 8)

Growth or Decay? Decay

graph-of-expo-fun-q8.png

9)  

graph-of-expo-fun-q9.png

10)  Graph B

11) Graph C

12) Graph A

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