Reciprocal Functions
Describe the transformation of the function f(x)=2/x-4 .
Answer;
Down 4 units
Identify the EQUATION for the vertical asymptote of the function
p(x)=(x-4)/(x+2)
.
Answer;
x=-2
Simplify completely;
((x+4)(x-1))/((x-1))
Answer;
x+4
Solve for x;
10/x=2
Answer:
x=5
What is the domain of the function below? (use the "not equal to" sign)
f(x)=1/(x+3)
Answer:
Domain -
xne-3
Describe the transformation of the function f(x)=5/(x-7)-3 .
Answer;
7 units right, 3 units down
Identify the EQUATION of the horizontal asymptote for the function
q(x)=(3x^2-15)/(8x+2)
Answer:
There is no horizontal asymptote.
Simplify;
((x+5)/(x+2))((3)/(x+5))
Answer:
3/(x+2)
Solve for x;
3/(2x)=1/(10
Answer;
x=15
What is the range of the function below? (Write your answer using the "not equal to" sign)
f(x)=7/(x-2)+5
Answer:
Range -
yne5
What is EQUATION of the vertical asymptote for the function
f(x)=1/x+5?
Answer:
x=0
Identify the EQUATION of the horizontal asymptote for the function
q(x)=(5x)/(x^2-12)
Answer:
y=0
Simplify;
x/(x+1)div5/(x+1)
Answer;
x/5
Solve for x;
(x+2)/5=(x-1)/3
Answer:
x=5.5
Identify the domain of the function;
t(x)=(2x-9)/(2x+8)
Answer:
Domain -
x ne -4
What is EQUATION of the vertical asymptote for the function
g(x)=1/(x-3)+6?
Answer:
x=3
Identify the EQUATION of the vertical asymptote(s) for the function
q(x)=(x)/(x^2-4)
Answer:
x=2, x=-2
Simplify;
(4x-2)/(x+3)-(x-7)/(x+3)
Answer:
(3x+5)/(x+3)
The solutions that a student found to the equation
1/(x-5)+x/(x-3)=2/(x^2-8x+15)
were 5 and -1. Which of the following are true?
A - Both are solutions to the equation
B - Only 5 is a solution
C - Only -1 is a solution
D - There is no solution
E - 5 and 3 are the actual solutions
Answer:
C - Only -1 is a solution
Identify the range of the function;
g(x)=(8x^2+4x-6)/(4x^2-2)
Answer:
Range -
y ne 2
What is the y-intercept for the function
h(x)=6/(x-3)+4?
Answer;
(0, 2)
Identify the EQUATION of the horizontal asymptote for the function
q(x)=(10x^3-14x+9)/(2x^3-20x)
Answer:
y=5
Identify the common denominator would you multiply both fractions by before adding;
2/(x+4)+5/(x^2+9x+20)
Answer:
(x+4)(x+5)
OR
x^2+9x+20
Solve for x;
3/(x+2)+1/(x-7)=5/(x^2-5x-14
Answer:
x=6
Identify the domain of the function;
c(x)=(6x-4)/(x^3+7x^2+10x
Answer:
Domain -
x ne 0, -2, -5