Q:

how do you graph this f(x)= -3/2|x|+5 if x≀4​

Accepted Solution

A:
Answer: Β  see belowStep-by-step explanation:I enter the equation into a graphing calculator and let it do the graphing.___If you're graphing this by hand, you start by looking for the parent function. Here, it is |x|. That has a vertex of (0, 0) and a slope of +1 to the right of the vertex and a slope of -1 to the left of the vertex.Here, the function is multiplied by -3/2, so will open downward and have slopes of magnitude 3/2 (not 1). The graph has been translated 5 units upward, so the vertex is (0, 5).I'd start by plotting the vertex point at (0, 5), then identifying points with slope Β±3/2 either side of it. To the left, it is left 2 and down 3 to (-2, 2). The points on the right of the vertex are symmetrically located about the y-axis, so one of them will be (2, 2).Of course, you don't plot any function values for x > 4.