Question

Which graph represents the function f(x)=4⋅3x ?
Please help!!!

Answer 1

D

Explanation:

took the test

Answer 2

Option D is correct.

Explanation:

An exponential function is in the form of
`y =ab^x` where a is the initial value and b≠ 0 , b >1 .

Given: The function f(x) = y =
`4 \cdot 3^x` ......[1]

The domain is all real numbers and the range is y > 0.

y-intercept defined as the graph crosses the y-axis.

Substitute the value of x= 0 in [1] to solve for y;

y =
`4 \cdot 3^0` = 4

y-intercept = (0, 4)

End behavior:

when b =3 >1

then;

as
`x \rightarrow \infty` ,
`f(x)\rightarrow \infty`

as
`x \rightarrow -\infty` ,
`f(x)\rightarrow 0`

therefore, the only graph which represents the function y =
`4 \cdot 3^x` is Option D