Question

Which graph represents f(x)=4⋅5x ?

Answer 1

Answer:

5

Step-by-step explanation:

5

Answer 2

Answer:

Bottom left graph.

Step-by-step explanation:

Please consider the attached graph for complete question.

We are asked to choose the graph that represents function $f(x)=4\cdot 5^x$.

We can see that our given function is an increasing exponential function as base of the exponent is greater than 1 and leading coefficient is positive.

Now, we will find the y-intercept to check where the graph intersects y-axis.

To find y-intercept, we will substitute $x=0$ in our given function.

$f(0)=4\cdot 5^0=4\cdot 1 = 4$

Since the y-intercept is 4, so graph intersects y-axis at $y=4$.

Therefore, bottom left graph is the correct choice.