Three different graphs of piecewise-defined relations are shown in the coordinate plane. Graph A Graph B Graph C
Which graph represents y as a function of x?

A
Graph A

B
Graph B

C
Graph C

D
None of the graphs

Explanation:

We can rule out graph A because it fails the vertical line test at x = 0. This x value produces two different y outputs. So we don't have a function here.

We can also rule out graph C because it also fails the vertical line test, and does so in infinitely many places. In fact, the only time it doesn't fail the vertical line test is when x = 2. Every x value smaller than this will produce more than one y value output.

Only graph B has any x input lead to exactly one y output. The graph passes the vertical line test. The graph is not defined at x = 2 because we have open holes for each endpoint here. It appears to be defined everywhere else. So this is why graph B is a function.

the anwser is d) 75°

step-by-step explanation:

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: