Question

Select the correct answer. Which graph represents the given exponential function? f(x) = 5(3)" – 1 OA. Y OB. X

Answer 1

ANSWER

Option B

EXPLANATION

We want to find the graph that represents the exponential function given:

$f(x)=5(3)^x-1$

To do this, we simply have to check for which of the graphs has the correct y-intercept. The y-intercept is the point where the graph touches the y-axis.

We can calculate the y coordainte of the y-intercept from the given function by finding the value of f(x) when x = 0.

That is:

$\begin{gathered} f(x)=5(3)^0-1 \\ f(x)=(5\cdot1)-1=5-1 \\ f(x)=4 \end{gathered}$

Hence, the y-intercept is (0,4).

Therefore, the correct answer is Option B.