1. Exponential Functions
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Make a table of values for the function g. Then, plot the ordered pairs.
Graph:
Comparison: See solution.
To draw the graph of g(x), we will first make a table of values. We know that g(0)=4, and each term is three times the previous term.
The ordered pairs (- 1, 43), (0,4), (1,12), (2,36), and (3,108) all lie on the function. Now, we will plot and connect these points with a smooth curve.
Now let's draw the functions f and g on the same axes and compare them.
We see that both functions have the same value when x=0. The value of g is greater than the value of f over the rest of the interval.