Problem

Numeric Response
Use the following information to answer the next two questions
In the function below it is possible to determine $x$ and $y$ intercepts:
\[
y=-4 x-16
\]
Numeric Response
4. What is the $y$-intercept of this function?
Express your answer as a whole number.
(Record your answer in the numerical-response section below.)
Your answer:
Numeric Response
5. What is the x-intercept of this function?
Express your answer in fraction form ensuring that you show a numerator and denominator. If the fraction is negative, ensure that you place the negative symbol in the numerator.
(Record your answer in the numerical-response section below)
Your answer:

Answer

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Answer

Final Answer: The y-intercept of the function is \(\boxed{-16}\) and the x-intercept of the function is \(\boxed{4}\).

Steps

Step 1 :The y-intercept of a function is the value of y when x is 0. The x-intercept of a function is the value of x when y is 0.

Step 2 :To find the y-intercept, we can substitute x = 0 into the equation.

Step 3 :To find the x-intercept, we can set y = 0 and solve for x.

Step 4 :Substituting x = 0 into the equation y = -4*x - 16, we get y = -16. So, the y-intercept of the function is \(-16\).

Step 5 :Setting y = 0 in the equation y = -4*x - 16, we can solve for x to get x = 4. So, the x-intercept of the function is \(4\).

Step 6 :Final Answer: The y-intercept of the function is \(\boxed{-16}\) and the x-intercept of the function is \(\boxed{4}\).

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