Answer:
The graph of the function has vertical asymptote at x=-2
and horizontal asymptote at y=-1.
Step-by-step explanation:
The graph of the given function:
has a vertical as well as horizontal asymptote at some points.
( An asymptote is a line or curve that approaches a given curve arbitrarily closely
for example 1/x, which has a vertical asymptote at x=0 and a horizontal asymptote at y=0 )
The vertical asymptote of a graph is at x=-2
and horizontal asymptote at y=-1
3x² - 4x = 0 can be simplified to x(3x - 4) = 0
Set both the inside and outside of the parenthesis individually equal to zero.
x = 0
3x - 4 = 0
The first equation is done. The second one, add 4 to both sides to get constants on one side and variables on the other.
3x = 0 + 4
3x = 4
Divide by 3 on both sides to isolate the variable X
x = 4/3
Your final answer is x = 0, 4/3
I'm not sure if I got the question right, but:
2x+4y=12
2*(-2)+4*4=12
-4+16=12
12=12