Question

f(x) = 3x^2 - 10x - 8 / 2x^2 + x - 3find the y intercept, x intercepts, as well as the horizontal and vertical asymptotes

Answer 1

Case: Functions

Method:

`f(x)=(3x^2-10x-8)/(2x^2+x-3)`

First, we plot the graph

Final answers:

a) The y-intercept

f(0) = 8/3

b) The x-intercept

x = -0.667 and x = 4

c) Horizontal and Vertical asymptote

Horizontal

f(x) = 1.5

Vertical

From the roots of the equation of the denominator

x = -1.5 and x = 1