Question

HELP ME?? IM NOT GOOD WITH
Graphing Piecewise Functions
WILL MEDAL AND FAN

Answer 1

alright so according to what I understand, you have 2 equations that you need to find, and put those 2 equations in their right boxes according to their range,

for the line at y=5 , since the line passes through the y-axis when y=5, the line is then simply y=5, or f(x) = 5 is you will, now look at the point at which the line starts and read off the x value at this point, and look at the point at which the line ends and read off the x-value at this point, you will see that x=-1 at the point where the line starts, and x=1 where the line ends, so meaning that y=5 satisfies the range of x : -1<x<1

Answer 2

so now the other line is def satisfying the other x range,
this line is a little more complicated, you have to construct an equation in the form y=mx+c , where m is your gradient of the slope , and c is the y-intercept, or the point at which the touches the y-axis

to find the m, you need to find 2 coordinates first, ill use the point at which the line crosses the x-axis at (-3,0) and a point above it that also lies on the line -> (-2, 1)

to find m , you use the formula :


so taking the point (-2,1) as x2 and y2, and (-3,0) as x1 and y1,

you substitute and find the m