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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. What are two examples of composit functions?
f of g and g of f
(f+g) - (f-g) - (fg) - (f/g) all of x
f(x)=IxI
C(t) = 20+(.40(t-60) if you have a base of $20 for a plan and .40 cents above every minute you spend over one hour you have to first know how many minutes you went over one hour - then multuply by .40 cents for the additional minutes and add the base

2. What is the formula for an absolute value function?
f(x)=IxI
(-infinity - +infinity)
[0 -+infinity)
Cannot be drawn in quizlet

3. What is the formula for the square root function?
As equations
Y=x^2 - graph
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

4. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
Square Root
m
identity

5. what can never equal zero in the slope formula and why?
in a quotient
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

6. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
x=a
Square Root
parabola - up one and right three

7. What does the average rate of change formula solve?
negative inverse
no because you cannot have one domain pointing at two y's or ranges
f(x2)-f(x1) / x2-x1
The slope of a line containing two points

8. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Cannot be drawn in quizlet
f(x2)-f(x1) / x2-x1
Absolute Value - Constant and Standard Quadratic

9. what is a range?
even
zero slope
The second set of components of an ordered pair
Y=x - identity function

10. What is the domain of the cube root function?
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - 0]U[0 - +infinity)
2nd catalog (zero key -) abs(x) - graph

11. What is the domain of a square root function?
horizontal
[0 -+infinity)
odd
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

12. What shape is the standard quadratic function?
parabola
4 -6 -9
Square Root
f(x)=x^3

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

14. x= a real number is what type of equation?
Conditional
same
perpendicular line
(-infinity - +infinity)

15. In an identity function if f(10)=x than what is y?
Y=10
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
C>1 - horizontal shrinking
x is the hours to repair the boat. $1603-532=anwser/63 = x

16. What is the vertical line test?
horizontal
When does a graph not define y as a function of x?
f(x2)-f(x1) / x2-x1
perpendicular line

17. What are the calculator instructions for the cube root function?
math 4 x - graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
odd
The minimum or maximum points

18. What is the domain for a standard quadratic function?
inconsitent
(-infinity - +infinity)
f(x+c) and f(x-c)
The slope of a line containing two points

19. how many domains can you have pointing to one range?
As many as you like
postiive slope
parraelle line
Change in y / change in x = rise / run = y2-y1 / x2-x1

20. What is the range for the standard cubic function?
negative slope
neither
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)

21. Which direction does f(x)=+c move in standard absolute value formula?
Y=x^2 - graph
Piecewise
up
2nd key - x^2 - graph

22. 4(x-7)=4x+28 is what type of an equation?
f(x)=IxI
inconsitent
f(x)=suare root of x
C>1 - horizontal shrinking

23. What is the domain of an identity function?
postiive slope
x = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
f(x+h)-f(x)/h h cannot equal zero

24. Is an identity function even - odd or neither?
45 degree angle
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.
odd
Cannot be drawn in quizlet

25. What type of function would you use to calculate the most advantageous cell phone plan?
no because you cannot have one domain pointing at two y's or ranges
Piecewise
Cannot be drawn in quizlet
Three odd - cube root - identity - standard cubic

26. What is the point slope formula and when do you use it?
even
f(x)=3 square root x
As equations
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

27. What is the domain and range of a constant function?
down
(-infinity - +infinity)
45 degree angle
Y=x - identity function

28. What is the horizontal line formula?
f(x+c) and f(x-c)
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=b

29. What is the formula for the cube root function?
f(x)=3 square root x
Any set of ordered pairs
horizontal
Mirror image neg quadrant to that of the positive quandrant

30. What type of line is a constant function?
f(x)=3 square root x
As equations
horizontal
As many as you like

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)=IxI
f(x)=x^3
C(t) = 20+(.40(t-60) if you have a base of $20 for a plan and .40 cents above every minute you spend over one hour you have to first know how many minutes you went over one hour - then multuply by .40 cents for the additional minutes and add the base

32. What type of slope do vertical lines have?
horizontal
Cannot be drawn in quizlet
x is the hours to repair the boat. $1603-532=anwser/63 = x
undefined

33. 4x+5x=8x is what type of an equation?
Conditional
down
(-infinity - +infinity)
20+.05x=5+.10x x=minutes

34. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=x^2 - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x+h)-f(x)/h h cannot equal zero

35. Is a standard quadratic function even - odd or neither?
Equation of a line
Y=IxI
even
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

36. What are the four steps for solving a linear equation?
undefined
odd
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.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

37. What is the range for a standard quadratic function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Mirror image neg quadrant to that of the positive quandrant
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)

38. Which direction does f(x-c) move
horizontal right
postiive slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
45 degree angle

39. What are the four steps for finding the inverse of a function?
zero slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
inconsistant
horizontal

40. What type of slope do horizontal lines have?
f(x)=IxI
same
(-infinity - +infinity)
no because you cannot have one domain pointing at two y's or ranges

41. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
x=a
undefined
x = the original sale price and the formula is x - .40x =$276
Yes - all the domains points to one range

42. How do you calculate a constant function in your calculator?
Equation of a line
Y= then enter the number then press graph
(-infinity - +infinity)
The secant line

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

44. What type of slope do you have when the line is horizontal and m=0?
Y=x - identity function
zero slope
even
horizontal

45. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
f(x)=suare root of x
1 -2 -3
in a quotient
When does a graph not define y as a function of x?

46. Standard absolute value - horizontal shift formulas for left and right
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
f(x+c) and f(x-c)
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.

47. What is the formula for to calculate the difference of a quotient function?
[0 -+infinity)
parabola - up one and right three
2nd key - x^2 - graph
f(x+h)-f(x)/h h cannot equal zero

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

49. x=no real numbers is what type of an equation?
Square Root
inconsistant
C(t) = 20+(.40(t-60) if you have a base of $20 for a plan and .40 cents above every minute you spend over one hour you have to first know how many minutes you went over one hour - then multuply by .40 cents for the additional minutes and add the base
even

50. what is the formula for slope?
undefined
even
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x)=x^3