Test your basic knowledge |

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 is the range of the cube root function?
The single number y=
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
0<c<1 - horizontal stretching

2. In an identity function if f(10)=x than what is y?
Y=10
(-infinity - +infinity)
function notation
x math 3 graph

3. Which direction does f(x+c) move
negative slope
horizontal left
f of g and g of f
(-infinity - 0]U[0 - +infinity)

4. What is the formula for the standard cubic function?
Equation of a line
Y= then enter the number then press graph
f(x)=x^3
f(x2)-f(x1) / x2-x1

5. Two vertical lines side by side are a symbol for what
horizontal right
parraelle line
C>1 - horizontal shrinking
f(x)=IxI

6. What type of line is a constant function?
2nd key - x^2 - graph
horizontal
(-infinity - 0]U[0 - +infinity)
negative slope

7. y=f(cx) - what does this formula represent?
Y=x^2 - graph
(-infinity - +infinity)
C>1 - horizontal shrinking
x2-x1 because the demonaitor of a quotient can never equal zero

8. f(x) = x^2+3x+5 - what type of formula is this?
odd
function notation
parabola
because the demintor of a quotient can never equal zero

9. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Conditional
(f+g) - (f-g) - (fg) - (f/g) all of x
Yes - all the domains points to one range
x math 3 graph

10. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - +infinity)
even
up
no because you cannot have one domain pointing at two y's or ranges

11. What is an identity function?
(-infinity - +infinity)
45 degree angle
f(x+h)-f(x)/h h cannot equal zero
undefined

12. What are the steps for solving a word problem?
same
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
1 -2 -3
(-infinity - +infinity)

13. What type of line is an identity function?
Y=10
When does a graph not define y as a function of x?
45 degree angle
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

14. $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
The first set of components of an ordered pair
x^2
because the demintor of a quotient can never equal zero

15. What type of slope do you have when the line is horizontal and m=0?
Cannot be drawn in quizlet
inconsitent
zero slope
negative slope

16. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
f(x^1)=f(x^2)
f(x2)-f(x1) / x2-x1
undefined slope

17. x=no real numbers is what type of an equation?
inconsistant
Cannot be drawn in quizlet
even
inconsitent

18. What type of slope do you have when a line falls left to right and m<0?
Three odd - cube root - identity - standard cubic
negative slope
odd
undefined slope

19. Of the seven of algebra's common graph's how many are odd?
Y=x - identity function
Three odd - cube root - identity - standard cubic
even
in a quotient

20. How do you graph Ax+By+C=0?
Equation of a line
even
Set the x and y to zero and get the intercepts and then plot the points
inconsitent

21. What is the range of a square root function?
The slope of a line containing two points
[0 -+infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
f(x^1)=f(x^2)

22. What is the domain for the standard cubic function?
45 degree angle
Y=x^2 - graph
f(x) = x
(-infinity - +infinity)

23. Is an absolute value function even - odd or neither?
even
(-infinity - +infinity)
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.
Yes because two x's or domains can point to one y

24. What type of slope do you have when m=? and the line is vertical?
(-infinity - +infinity)
undefined slope
As equations
odd

25. what is a range?
Square Root
The second set of components of an ordered pair
f(x)=+c and f(x)-c
only one

26. What is slope?
A line passing through two distinct points
f(x^1)=f(x^2)
f(x+h)-f(x)/h h cannot equal zero
Y=IxI

27. What type of slope do vertical lines have?
x^2
(-infinity - 0]U[0 - +infinity)
The opposite coordinates
undefined

28. What is the formula for an identity function?
f(x) = x
When does a graph not define y as a function of x?
Square Root
Yes - all the domains points to one range

29. Why can h not equal zero in the difference of a quotient function formula?
(-infinity - +infinity)
f(x) = x
because the demintor of a quotient can never equal zero
Square Root

30. how many domains can you have pointing to one range?
As many as you like
(-infinity - 0]U[0 - +infinity)
even
Three odd - cube root - identity - standard cubic

31. What is a domain?
The first set of components of an ordered pair
parraelle line
20+.05x=5+.10x x=minutes
Y=x - identity function

32. Is a constant function even - odd or neither?
A V
horizontal
even
(f+g) - (f-g) - (fg) - (f/g) all of x

33. What type of function would you use to calculate the most advantageous cell phone plan?
undefined
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Piecewise
because the demintor of a quotient can never equal zero

34. What can we substitute for f(x)?
x^2
Piecewise
Y
even

35. What is the formula for the square root function?
x2-x1 because the demonaitor of a quotient can never equal zero
As many as you like
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.
f(x)=suare root of x

36. 4x+5x=8x is what type of an equation?
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.
As many as you like
Conditional
[0 -+infinity)

37. What are the calculator instructions for the cube root function?
(-infinity - 0]U[0 - +infinity)
Y=x^2 - graph
math 4 x - graph
Yes - all the domains points to one range

38. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Y= then enter the number then press graph
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
Change in y / change in x = rise / run = y2-y1 / x2-x1
45 degree angle

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

40. When is the only time (-infinity - +infinity) is not the domain?
(-infinity - +infinity)
Equation of a line
in a quotient
Three odd - cube root - identity - standard cubic

41. What type of line is a constant function?
The second set of components of an ordered pair
horizontal
f(x)=suare root of x
(-infinity - 0]U[0 - +infinity)

42. x= a real number is what type of equation?
Line ascending to the right gradually
Conditional
0<c<1 - horizontal stretching
negative inverse

43. Draw or discuss a decreasing function
m
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet
Line ascending to the right gradually

44. What are the algebra of functions?
Cannot be drawn in quizlet
up
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=10

45. Is the standard cubic function odd - even or neither?
1 -2 -3
45 degree angle
odd
same

46. What is the formula for the cube root function?
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.
f(x)=3 square root x
The second set of components of an ordered pair
horizontal left

47. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
0<c<1 - horizontal stretching
Cannot be drawn in quizlet
1 -2 -3
x2-x1 because the demonaitor of a quotient can never equal zero

48. Of the seven of algebra's common graph's how many are neither?
Square Root
The first set of components of an ordered pair
math 4 x - graph
Y=IxI

49. What is another way of writing the absolute value function?
Square Root
Y=IxI
Yes because two x's or domains can point to one y
2nd catalog (zero key -) abs(x) - graph

50. What are the four steps for solving a linear equation?
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.
even
Conditional
f(x)=x^3