Question

A graph of the exponential function f(x) is given.

Write the equation to represent f(x).
Of(x) = 3x

A) f(x)=3^x
B) f(x)=-3^x
C) f(x)=(1/3)^x
D) f(x)=-(1/3)^x

Please and thank you!

Answer 1

The graph suggests an increasing exponential function with a y-intercept at (0, 1) and growth as x increases. The apt equation is
`$f(x) = 3^x$`. Option a is the correct choice.

The graph appears to show an exponential function that is increasing. The only answer choice that matches that description is
`$f(x) = 3^x$`.

Here are some of the key features of the graph that help us identify the equation:

* The y-intercept is (0, 1), which means the function passes through the point (0, 1).

* The graph increases as x increases, which means the function is growing exponentially.

* The base of the exponential function is greater than 1, which means the function is growing at an increasing rate.

Therefore, the equation that best represents the graph is

So, Option a is the correct choice.
`$f(x) = 3^x$.`