drewfrosch159
Answered

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PLZZZ HELPPP

Which statement about the graph of y = 7(0.25)* is true?

A) The coordinates of the x-intercept are (0.25, 0)

B) The coordinates of the y-intercept are (0,7)

C) The equation of the asymptote is x = 0.

D) The graph includes the point (2,1)

Sagot :

Using exponential function concepts, it is found that the correct statement is:

B) The coordinates of the y-intercept are (0,7).

What is an exponential function?

It is modeled by:

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

In which:

  • (0,a) is the y-intercept.
  • b is the rate of change.
  • y = c is the asymptote.

In this problem, the function is given by:

[tex]y = 7(0.25)^x[/tex]

Hence the correct statement is:

B) The coordinates of the y-intercept are (0,7).

The asymptote is of c = 0, that is, the function does not cross the x-axis, meaning that it has no x-intercept.

When x = 2, we have that:

[tex]y = 7(0.25)^2 = 0.875[/tex]

Hence the graph includes the point (2,0.875).

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

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