How do you find the x and y intercepts for f(x)=x^2-9x+14?

1 Answer
Jan 20, 2016

y-intercept: 14
x-intercepts: 2 and 7

Explanation:

Note that y is equivalent to f(x)
So we can think of the given equation as
color(white)("XXX")y=x^2-9x+14

The y-intercept is the value of y when x=0.
Given the form of the equation above, clearly:
color(white)("XXX")y-intercept =14

The x-intercept(s) is/are the value(s) of x for which y=0
color(white)("XXX")x^2-9x+14=0

rarrcolor(white)("X")(x-7)(x-2)=0

That is x=7 or x=2

color(white)("XXX")x-intercepts: =7 and 2