Question 0.1.20: Finding Zeros by Factoring Find all x- and y-intercepts of f...

To find the y-intercept, set x = 0 to obtain

y = 0 − 0 + 3 = 3.

To find the x-intercepts, solve the equation f(x) = 0. In this case, we can factor to get

f(x) = x² − 4x + 3 = (x − 1)(x − 3) = 0.

You can now read off the zeros: x = 1 and x = 3, as indicated in Figure 0.22.