Question

Graph the function f(x)=-abs(2x-3). Be sure to find any x and y intercepts, places where the graph has a relative maximum or minimum.

Answer 1

2x -3 = 0
2x = 3
x=1.5

now if x>1.5 the expression is positive and
f(x) = -(2x-3) = 3 -2x

if x<1.5 the expression is negative and
f(x) = 2x - 3

if x = 1.5 f(x) = 0