Respuesta :

Answer: Graph  C is the correct graph of the given function.

Explanation:

Since, given function [tex]f(x)= 2.{4^x}[/tex]

And, if x=0 then y-intercept = [tex]2.4^0=2[/tex]

Therefore, graph must be passes through point (0,2).(y-intercept)

And, if y=0 then x=-2 therefore, x-intercept is (-2,0)

But first, second and forth graph do not having the above x and y-intercept

Therefore,  first, second and forth graph can not be the graph of the above function.

Here, only graph third has the same x and y-intercepts.

Hence, Graph  C is the correct graph of the given function.

The graph representing the function f(x) = 2.4x, is graph c.

To detect the graph represents a function or not, vertical line test is used. The value of y intercept in the graph has been able to detect the x output for it.  The graph can be interpreted by looking at the labels and the x and y intercept position in the graph.

Given :

[tex]f(x) = 2-4x[/tex]

Solution :

At x = 0,

f(x) = 2

So, y intercept is (0 , 2).

Therefore the  graph representing the function f(x) = 2.4x, is graph c.

For more information, refer the link given below

https://brainly.com/question/21426493

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