Calculating Local Maximum and Local Minin Values

Use the graph to find the local minimum and the local
maximum for the given function.
Over the interval [-3, 0], the local minimum is_

Over the interval [0,3], the local maximum is___

Over the interval [0, 3], the local minimum is___

-16, 4 and - 3

Step-by-step explanation:

Over the interval [-3, 0], the local minimum is - 16.

Over the interval [0,3], the local maximum is 4

Over the interval [0, 3], the local minimum is - 3

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)