Respuesta :

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 [tex]f(x)=4\cdot 5^x[/tex].

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 [tex]x=0[/tex] in our given function.

[tex]f(0)=4\cdot 5^0=4\cdot 1 = 4[/tex]

Since the y-intercept is 4, so graph intersects y-axis at [tex]y=4[/tex].

Therefore, bottom left graph is the correct choice.

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MrRoyal

The function is an illustration of an exponential function.

The function is given as:

[tex]\mathbf{f(x) = 4 \cdot 5^x}[/tex]

An exponential function is represented as:

[tex]\mathbf{f(x) = a \cdot b^x}[/tex]

So, by comparison:

a = 4

b = 5

This means that we plot an exponential graph that has an initial value of 4, and a rate of 4

See attachment for the graph of [tex]\mathbf{f(x) = 4 \cdot 5^x}[/tex]

Read more about exponential functions at:

https://brainly.com/question/15165011

Ver imagen MrRoyal

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