Find x-and y-intercepts of the rational function.

Question

S(x)= 4x/x-6

x-intercept (x,y)=?

y-intercept (x,y)=?

Answer 1

I'm going to assume this function is s(x) = (4x)/(x - 6).

x-intercepts are when the function value (in this case s(x)) equals zero.

So: 0 = (4x)/(x - 6)

The denominator cannot contribute to attaining a function value of zero so to solve this, just set the numerator equal to zero

0 = 4x

x = 0

So the x-intercept is (0, 0)

y-intercepts are found by making x equal to zero so:

s(x) = (4(0))/((0) - 6)

s(x) = 0/-6

s(x) = 0

So the y-intercept is (0, 0) as well