Crzud2003 Crzud2003
  • 06-06-2019
  • Mathematics
contestada

What is the y-intercept for the graph of the equation y=4(3^x)

A. (0,8)
B. (0,3)
C. (0,4)
D. (0,12)

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 06-06-2019

ANSWER

C. (0,4)

EXPLANATION

The given graph has equation:

[tex]y = 4( {3}^{x} )[/tex]

The y-intercept is where the graph touches the y-axis.

At this point the value of x is zero.

We substitute x=0 into the equation to obtain:

[tex]y = 4( {3}^{0} )[/tex]

Recall that any non-zero number exponent zero is 1.

This implies that,

[tex]y = 4( 1 ) = 4[/tex]

Hence the y-intercept is (0,4)

The correct answer is C.

Answer Link

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