Question

Select the correct answer from each drop-down menu.When x = 1, the linear function has aincreases, thevalue than the exponential function. As xthe linear function.which indicates the equationThe graphs of y = f(x) and y = g(x)f(x) = g(x) has

Answer 1

Given:

`\begin{gathered} f(x)=3^x \\ g(x)=4x+1 \end{gathered}`

a) at x=1

`\begin{gathered} f(x)=3^x=3^1=3 \\ g(x)=4x+1=4(1)+1=5 \end{gathered}`

At x=1 the linear function has greater value than the exponential function.

b) As x increases the exponential function exceeds the linear function.

Because the exponential function grows rapidly than the linear function.

c) The graph of the functions is,

It shows that the graph of y=f(x) and y=g(x) intersects at two points.

Also, f(x)=g(x) will have two solutions (x=0,x=2) because it intersects at 2 points.