i) The given function is

The domain is



ii) For vertical asymptotes, we simplify the function to get;

The vertical asymptote occurs at


iii) The roots are the x-intercepts of the reduced fraction.
Equate the numerator of the reduced fraction to zero.



iv) To find the y-intercept, we substitute
into the reduced fraction.



v) The horizontal asymptote is given by;

The horizontal asymptote is
.
vi) The function has a hole at
.
Thus at
.
This is the factor common to both the numerator and the denominator.
vii) The function is a proper rational function.
Proper rational functions do not have oblique asymptotes.
Answer:
6
Step-by-step explanation:
We need to find the slope
We have 2 points
(0,0) and (1,6)
m = (y2-y1)/(x2-x1)
= (6-0)/(1-0)
= 6/1
= 6
y = 6x
The constant of proportionality is 6
Answer:
D.
Step-by-step explanation:
h(x)=f(x)g(x) means multiply the expression for f to the expression for g.
That is the problem is just asking you to do (11x-5)(-2x-4).
Let's use foil.
First: 11x(-2x)=-22x^2
Outer: 11x(-4)=-44x
Inner: -5(-2x)=10x
Last: -5(-4)=20
------------------------Add together!
-22x^2-34x+20
D.
Answer:
y = -2x + 8 is the answer to the question
(10/12) / (4/6)...when dividing with fractions, flip what u r dividing by, then multiply
10/12 * 6/4 = 10/8 which reduces to 5/4 or 1 1/4