Question

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

Answer 1

Answer:

Option D is correct.

Step-by-step 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