Austin is using graphs to compare the growth rates of g(x)=1.3x and f(x)=1.3x. Which statement correctly describes how Austin should do this and what
he should look for in the graphs?
To compare the growth rates of g(x)=1.3x and f(x)=1.3x, Austin should plot the graphs of both functions on the same coordinate plane. He should then observe the slopes of the graphs.
The slope of a linear function represents the growth rate. In this case, both g(x) and f(x) have the same slope of 1.3. Therefore, when Austin compares the graphs, he should look for parallel lines with the same slope.
If the graphs of g(x) and f(x) are parallel, it indicates that both functions have the same growth rate of 1.3, which means they are growing at the same rate as x increases.
I suspect a typo in the problem statement.
Perhaps
g = 1.3 x
and
f = 1.3^x
g is a straight line from the origin upward with slope 1.3
f is an exponential function curving up to the right, as x gets big, f will storm upward.