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:
Solution
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 \(\boxed{4}\).
