Answer:
Depending on what you are looking for, the y-intercept of [tex]f(x)= -|-2x| + 3[/tex] is 3, while the x-intercepts are ± 1.5.
Step-by-step explanation:
f(x) is the equivalent of 'y' in this equation, so doing so yields the new equation [tex]y = -|-2x| + 3[/tex]. The y-intercept of any equation always occurs at [tex]x = 0[/tex], so plugging 0 as x into the equation:
As for the x-intercepts, they always occur at [tex]y = 0[/tex], so plugging 0 as y into the equation yields [tex]0 = -|-2x| + 3[/tex], which can be used to solve for x: