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What are the y-intercept and the horizontal asymptote of g(x) = 4x + 3?
(0, 3); y = 4
(0, 4) ; y = 3
(0, 5) ; y = 4
(0, 7) ; y = 3

Sagot :

Using exponential function concepts, it is found that that the y-intercept and the horizontal asymptote are given by, respectively:

(0, 3); y = 4

What is an exponential function?

It is modeled by:

[tex]y = ab^x + c[/tex].

In which:

  • a is the initial value.
  • b is the rate of change.
  • y = c is the horizontal asymptote.

In this problem, the equation is:

[tex]y = 4^x + 3[/tex].

Hence the horizontal asymptote is y = 3, and the y-intercept is y when x = 0, hence:

[tex](0,y) = (0, 4^0 + 3) = (0, 4)[/tex]

Which means that the first option is correct.

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

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