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Which exponential function is represented by the
graph?
8
(1.5)
O f(x) = 2(3)
O f(x) = 3(3)
of(x) = 3(2)
O f(x) = 2(24)
Vo, 3)
(1.15

Which Exponential Function Is Represented By The Graph 8 15 O Fx 23 O Fx 33 Ofx 32 O Fx 224 Vo 3 115 class=

Sagot :

CrazyMoosen

Answer:

C, f(x) = 3(2)^x

Step-by-step explanation:

Since the y-intercept is 3, the function will have 3 multiplying by some number to the power of x.

As x increases by 1, we notice that y multiplies by 2 every time.

This leads us to believe that the equation is 3 * 2^x

The exponential function represented by the graph is:

[tex]f(x) = 3(2)^x[/tex]

What is an exponential function?

It is modeled by:

[tex]y = ab^x[/tex]

In which:

  • a is the initial value, that is, the value of y when x = 0.
  • b is the rate of change.

In the graph, there is point (0,3), hence a = 3, and it also has point (1,6), hence:

[tex]6 = 3b[/tex]

[tex]b = 2[/tex]

Thus, the equation is:

[tex]f(x) = 3(2)^x[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

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