GRAPHING EXPONENTIAL FUNCTIONS AND FIND DOMAIN AND RANGE WORKSHEET
Sketch the graph of each exponential function by doing the following:
Sketch the asymptote, label at least three distinct coordinate points on each graph, and write the domain and range of each function.
Problem 1 :
y = 2(4)x
Problem 2 :
y = -(3)x
Problem 3 :
y = -2(3)x
Problem 4 :
y = (2)x+4 + 1
Problem 5 :
y = -2(2)x-2 + 2
Problem 6 :
y = 3(3)x+2 - 4
Answer Key
1) Points are (-1, 1/2), (0, 2), (1, 8), (2, 32).
Domain:
all real numbers.
Range:
The range is y > 0.
2) Points are (-1, -1/3), (0, -1), (1, -3), (2, -9).
Domain:
all real numbers.
Range:
The range is y < 0.
3) (-1, -2/3), (0, -2), (1, -6), (2, -18).
Domain:
all real numbers.
Range:
The range is y < 0.
4) Points are (-2, 5), (-3, 3), (-4, 2), (-5, 3/2)
Domain:
all real numbers.
Range:
The range is y > 1.
5) points are (1, 1), (2, 0), (3, -2), (4, -6).
Domain:
all real numbers.
Range:
The range is y < 2.
6) Points are (-1, 5), (-2, -1), (-3, -4), (-4, -11/3).
Domain:
all real numbers.
Range:
The range is y > -3.
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