Differentiate between the x-intercept (s) and y-intercept of the function. g (x) = x-4/x^2-4 Which of the following options represents the function's intercepts? Select all that apply.

Question

Junior Johns

Mathematics

6 June, 11:56

Differentiate between the x-intercept (s) and y-intercept of the function. g (x) = x-4/x^2-4 Which of the following options represents the function's intercepts? Select all that apply.

+4

Answers (2)

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Kaylah Mathews · Answer 1

Y intercept occurs when x = 0

so its 0-4 / 0 - 4 = 1

coordinates of y intercept is (0,1)

x intercept occurs when y = 0

(x - 4) / (x^2-4) = 0

x-4 = 0

x = 4

x intercept at (4,0)

Kyson Ramirez · Answer 2

You solve the x-intercept by making the numerator 0 since 0/anything but 0 is 0. You solve the y-intercept by making x 0 since that what a y-intercept is defined as.