# 1. Graphing Exponential Functions [5.3] An accurate graph of an exponentialfunction must have a few points plotted accurately, and must also clearlydemonstrate the important characteristics of the graph, such as the y-intercept andthe horizontal asymptote. The horizontal asymptote should be graphed with adotted line and labeled with its equation.Graph the exponential functions.a. f(x)=4"-6b. g(x)-2xage 1 13

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Step 1

Given information :

a) The given function is f(x)=4^x-6.

b) The given function is g(x)=2^(-x).

Concept Used:

For x-intercept, substitute y=0 and solve for x.

For y-intercept, substitute x=0 and solve for y.

If the function is exponential function is of the form

Step 2

then the horizontal asymptotes is y=k.

Calculate:

First, we have to find the few points to draw the graph.

Step 3

For x-intercept, substitute f(x)=0 ...

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