Help. How do I do this

Question

Find the horizontal intercepts of the function The intercepts are at  = 

Answer 1

I am assuming by horizontal intercepts, you mean the x-intercepts since the x-axis is horizontal. What you need to know is that any x-intercept will have a y coordinate of 0 because any point on the x-axis has a y coordinate of 0. Therefore, to find the intercepts, set y=0 (in this case set f(x)=0) and solve for x as follows

0=4|x+2|-9

=> 9/4 = |x+2|

Then you get two equations

9/4 = x+2 and -9/4=x+2

Thus x = 9/4-2 = 1/4 and x = -9/4-2 = -17/4