Draw a graph for each expression. a) f(x) = 2^{x} b) f(x) = 2^{-x} c) f(x) = - 2^{x} d) f(x) = -2^{-x}

Dottie Parra 2021-01-06 Answered
Draw a graph for each expression.
a) f(x)=2x
b) f(x)=2x
c) f(x)= 2x
d) f(x)= 2x
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Expert Answer

averes8
Answered 2021-01-07 Author has 92 answers

Step 1
Properties of exponential function ax, a > 1
1. Has continuous and smooth graph.
2. The graph passes through (0, 1) point.
3. The graph is increasing and it increases without bound.
4. Domain is whole real line.
5. Range is [0, ]
Step 2
a) The graph of f(x)=2x is:
image
Step 3
b) The graph of f(x)=2x is obtained by taking reflection of the graph of
f(x)=2x about y - axis.
Therefore, graph of f(x)=2x:
image
c) The graph of f(x)= 2x is obtained by taking reflection of the graph of
f(x)=2x about x - axis.
Therefore, graph of f(x)= 2x:
image
d) The graph of f(x)= 2x is obtained by taking reflection of the graph of
f(x)=2x about x - axis.
Therefore, graph of f(x)= 2x:
image

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