Question

Find the x- and y-intercepts of the rational function. (If an answer does not exist, enter DNE.)r(x) = 4x2 + 3x − 5x-intercept (x, y) = y-intercept (x, y) =

Answer 1

Given: A rational function

$r(x)=\frac{4}{x^2+3x-5}$

Required: x-intercept and y-intercept of the function

Explanation:

for x-intercept, y = 0

In this case r(x) = 0

which is not possible.

So x-intercept doesnot exist.

For y-intercept, x = 0

Put x = 0

$r(x)=\frac{4}{0+0-5}=-\frac{4}{5}$

So y is -4/5.

Final Answer:

x-intercept: DNE

y-intercept: (0,-4/5).