The step function f(x) is graphed. On a coordinate plane, a step graph has horizontal segments that are each 2 units long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 3, negative 3) to (negative 1, negative 3). Each segment is 2 units higher and 2 units farther to the right than the previous segment. The right-most segment goes from (3, 3) to (5, 3). What is the value of f(−1)?
a.)-3
b.) -1
c.) 0
d.) 1

b. -1

Step-by-step explanation:

(-3,-3) to (-1,-3)

(-1,-3+2) to (-1+2,-3+2)

(-1,-1) to (1,-1)

Since the left/lower end of the domain is included, f(-1) is -1

it is true

step-by-step explanation:

all the combinations add up i used   calculator

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)