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CLEP College Algebra: Functions

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. 4x+5x=8x is what type of an equation?
Y=10
Conditional
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=x - identity function

2. What is the domain for an absolute value function?
Equation of a line
The second set of components of an ordered pair
A V
(-infinity - +infinity)

3. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
45 degree angle
parabola - up one and right three
f(x)=IxI

4. What type of slope do vertical lines have?
in a quotient
The secant line
undefined
zero slope

5. What is the range for the standard cubic function?
horizontal left
(-infinity - +infinity)
negative inverse
x=a

6. Why can h not equal zero in the difference of a quotient function formula?
postiive slope
because the demintor of a quotient can never equal zero
(-infinity - +infinity)
remove grouping symbols and combine like terms - variables on one side of = and numbers on the other - isolate the variables and solve and check anwser.

7. What is the formula for an absolute value function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The first set of components of an ordered pair
x math 3 graph
f(x)=IxI

8. What is the domain of a square root function?
[0 -+infinity)
1 -2 -3
f(x)=suare root of x
x math 3 graph

9. how many ranges can you have for each domain?
only one
(-infinity - +infinity)
horizontal
down

10. y=f(cx) what does this formula represent?
Absolute Value - Constant and Standard Quadratic
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.
The second set of components of an ordered pair
0<c<1 - horizontal stretching

11. In an identity function if f(10)=x than what is y?
A line passing through two distinct points
Y=10
undefined
horizontal left

12. What are the calculator instructions for a standard quadratic equation?
As equations
function notation
A V
Y=x^2 - graph

13. What is a domain?
Yes - all the domains points to one range
horizontal left
The first set of components of an ordered pair
Y=10

14. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
f(x+h)-f(x)/h h cannot equal zero
The second set of components of an ordered pair
(f+g) - (f-g) - (fg) - (f/g) all of x

15. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and what is x?
Set the x and y to zero and get the intercepts and then plot the points
x is the hours to repair the boat. $1603-532=anwser/63 = x
Approach neg toward x through zero and above positive close to x
horizontal

16. x=no real numbers is what type of an equation?
Set the x and y to zero and get the intercepts and then plot the points
Cannot be drawn in quizlet
4 -6 -9
inconsistant

17. What is the domain of the cube root function?
(f+g) - (f-g) - (fg) - (f/g) all of x
4 -6 -9
zero slope
(-infinity - +infinity)

18. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
math 4 x - graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
2nd key - x^2 - graph

19. What points do you use to plot the inverse on a graph?
The opposite coordinates
parraelle line
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f(x)=suare root of x

20. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - 0]U[0 - +infinity)
The single number y=
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
same

21. What does the graph of the cube root function look like on the graph?
Cannot be drawn in quizlet
Approach neg toward x through zero and above positive close to x
A V
Change in y / change in x = rise / run = y2-y1 / x2-x1

22. How would this formula move f(x)=(x+1)^2-3
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.
function notation
parabola - up one and right three
f(x)=IxI

23. What is the horizontal line formula?
(-infinity - 0]U[0 - +infinity)
Y=b
x^2
1 -2 -3

24. x= a real number is what type of equation?
(-infinity - +infinity)
f(x)=3 square root x
undefined
Conditional

25. When is the only time (-infinity - +infinity) is not the domain?
As many as you like
1 -2 -3
in a quotient
x = the original sale price and the formula is x - .40x =$276

26. y^2+x=4 is this a function? Why?

27. What is the range of the cube root function?
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.
45 degree angle
(-infinity - +infinity)
When does a graph not define y as a function of x?

28. What is the domain for a standard quadratic function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y
Conditional
(-infinity - +infinity)

29. What type of line is a constant function?
horizontal
Yes because two x's or domains can point to one y
[0 -+infinity)
x^2

30. Is an absolute value function even - odd or neither?
down
x math 3 graph
45 degree angle
even

31. $50 -000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6 -000. What is x and what is the formula?
X is the first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6 -000
f(x)=suare root of x
negative inverse
2nd catalog (zero key -) abs(x) - graph

32. Which direction does f(x-c) move
Every line has an equation that can be written in general form. Ax+By+C=0 where A -B & C are real numbers and A & B cannot be zero.
horizontal right
x=a
f(x)=x^3

33. What is the average rate of change formula?
even
(-infinity - +infinity)
f(x2)-f(x1) / x2-x1
negative slope

34. What are the calculator instructions for absolute value?
x^2
2nd catalog (zero key -) abs(x) - graph
negative slope
neither

35. What is the slope intercept formula? Define all the variables.
no because you cannot have one domain pointing at two y's or ranges
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
x=a
(-infinity - +infinity)

36. What is the formula for an identity function?
4 -6 -9
f(x) = x
inconsitent
45 degree angle

37. What is the domain for the standard cubic function?
The first set of components of an ordered pair
Set the x and y to zero and get the intercepts and then plot the points
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)

38. What is the vertex?
m
negative inverse
postiive slope
The minimum or maximum points

39. What is the range of a square root function?
[0 -+infinity)
Carefuly understand let x be one of the unknowns - write expressions for any other unknowns in terms of x - write an equation in x that models the verbal conditions of the problem - solve the equation - check solution in the original wording of the p
Absolute Value - Constant and Standard Quadratic
(-infinity - 0]U[0 - +infinity)

40. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(-infinity - +infinity)
1 -2 -3
Conditional
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

41. What is the domain of an identity function?
(-infinity - +infinity)
As many as you like
horizontal
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

42. Which direction does f(x+c) move
f(x) = x
The secant line
horizontal left
Y=10

43. What is slope?
X is the first invesment at 15% and the next is the original $50K less the first investment at the second interest rate or 7% = $6 -000
A line passing through two distinct points
(-infinity - +infinity)
Conditional

44. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
x = the original sale price and the formula is x - .40x =$276
Approach neg toward x through zero and above positive close to x
only one
(-infinity - +infinity)

45. What does linear equation mean?
horizontal right
in a quotient
0<c<1 - horizontal stretching
Equation of a line

46. Is a constant function even - odd or neither?
(-infinity - +infinity)
even
Three odd - cube root - identity - standard cubic
When does a graph not define y as a function of x?

47. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
parraelle line
0<c<1 - horizontal stretching
m

48. Is an identity function even - odd or neither?
Square Root
odd
Absolute Value - Constant and Standard Quadratic
neither

49. What is the vertical line test?
(-infinity - +infinity)
[0 -+infinity)
Y=IxI
When does a graph not define y as a function of x?

50. Two vertical lines side by side are a symbol for what
f(x) = x
[0 -+infinity)
parraelle line
f(x2)-f(x1) / x2-x1