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:
See explanation.
Step-by-step explanation:
Tyler wrote everything correct, except he multiplied some incorrectly. 2x times 5 is 10x, not 7x. And 3 times 5 is 15, not 8. The bottom left and right boxes are incorrect.
Answer:
See below
Step-by-step explanation:
If the whole rectangle were shaded (all 25 parts) that would be 100%
So, we can set up a proportion.
25 = 100%
11 = x
Then, cross-multiply to get,
25x = 1100
Divide both sides by 25 to solve for x
x = 44.
The x value represents the percentage shaded.
44%
Answer:
Step-by-step explanation:
Δy =-4-1 = -5
Δx =-8-(-6) = -2
distance = √((Δx)^2+(Δy)^2) = √(4+25) = √29
Answer: -14, -9, -8, -6, 10, 12, 13
Step-by-step explanation: Think of all the numbers money. The negative ones mean that you owe people money so the bigger the negative number is the more you owe people which is the less money you have.