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 points do you use to plot the inverse on a graph?
inconsistant
The opposite coordinates
(-infinity - +infinity)
down

2. What is the range of a square root function?
[0 -+infinity)
math 4 x - graph
Set the x and y to zero and get the intercepts and then plot the points
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

3. What is the range for the standard cubic function?
Yes because two x's or domains can point to one y
undefined
(-infinity - +infinity)
x math 3 graph

4. 4x+5x=8x is what type of an equation?
(-infinity - +infinity)
f(x)=suare root of x
The secant line
Conditional

5. What is the formula for an absolute value 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.
postiive slope
20+.05x=5+.10x x=minutes
f(x)=IxI

6. Standard absolute value - horizontal shift formulas for left and right
Conditional
f(x+c) and f(x-c)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Cannot be drawn in quizlet

7. What type of slope do you have when m=? and the line is vertical?
x^2
Y=10
f(x+h)-f(x)/h h cannot equal zero
undefined slope

8. Is a constant function even - odd or neither?
2nd catalog (zero key -) abs(x) - graph
The secant line
even
Approach neg toward x through zero and above positive close to x

9. what is a range?
only one
2nd key - x^2 - graph
Y=x - identity function
The second set of components of an ordered pair

10. What is a function?
odd
even
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
horizontal right

11. What does the graph of the cube root function look like on the graph?
Square Root
[0 -+infinity)
Approach neg toward x through zero and above positive close to x
x^2

12. What is the range of the cube root function?
45 degree angle
Y=x - identity function
parabola - up one and right three
(-infinity - +infinity)

13. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
The slope of a line containing two points
Approach neg toward x through zero and above positive close to x
f(x^1)=f(x^2)

14. What type of slope do you have when the line is horizontal and m=0?
[0 -+infinity)
[0 -+infinity)
parabola - up one and right three
zero slope

15. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
The slope of a line containing two points
(-infinity - 0]U[0 - +infinity)
even
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

16. What are the calculator instructions for a standard quadratic 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.
parabola
45 degree angle
Y=x^2 - graph

17. how many domains can you have pointing to one range?
negative inverse
As many as you like
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

18. Of the seven of algebra's common graph's how many are odd?
because the demintor of a quotient can never equal zero
parraelle line
inconsistant
Three odd - cube root - identity - standard cubic

19. Of the seven of algebra's common graph's how many are neither?
same
undefined
Any set of ordered pairs
Square Root

20. What is the domain of an identity function?
As many as you like
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
Piecewise
(-infinity - +infinity)

21. What type of line is an identity function?
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
45 degree angle
x=a

22. What is the slope of a perpendicular line?
f(x^1)=f(x^2)
20+.05x=5+.10x x=minutes
negative slope
negative inverse

23. 4(x-7)=4x-28 is what type of an equation?
identity
odd
0<c<1 - horizontal stretching
down

24. What is a constant function?
(-infinity - +infinity)
same
f(x^1)=f(x^2)
Yes - all the domains points to one range

25. y=f(cx) - what does this formula represent?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=10
C>1 - horizontal shrinking
horizontal left

26. 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.
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
[0 -+infinity)
f(x)=suare root of x

27. What does linear equation mean?
Line ascending to the right gradually
horizontal
f(x2)-f(x1) / x2-x1
Equation of a line

28. Is an identity function even - odd or neither?
Change in y / change in x = rise / run = y2-y1 / x2-x1
parabola - up one and right three
odd
The opposite coordinates

29. $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?
function notation
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)=+c and f(x)-c
(-infinity - +infinity)

30. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Three odd - cube root - identity - standard cubic
x math 3 graph

31. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
x=a
The single number y=

32. What are the steps for solving a word problem?
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
even
f(x)=suare root of x
neither

33. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
undefined
Piecewise
1 -2 -3
x^2

34. What is the range for an absolute value function?
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
45 degree angle

35. Of the seven of algebra's common graph's how many are even?
(-infinity - 0]U[0 - +infinity)
undefined
Square Root
Absolute Value - Constant and Standard Quadratic

36. What is a domain?
The first set of components of an ordered pair
horizontal right
because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet

37. Is an absolute value function even - odd or neither?
The first set of components of an ordered pair
even
Yes - all the domains points to one range
Square Root

38. What are the calculator instructions for the standard cubic function?
odd
inconsitent
x math 3 graph
Y=x^2 - graph

39. Draw or discuss a constant function
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
undefined slope
(-infinity - +infinity)
Cannot be drawn in quizlet

40. x=no real numbers is what type of an equation?
up
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
inconsistant
zero slope

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

42. In an identity function if f(10)=x than what is y?
(f+g) - (f-g) - (fg) - (f/g) all of x
horizontal right
Y=10
f(x)=x^3

43. What is the formula for the square root function?
f(x)=suare root of x
The minimum or maximum points
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
horizontal

44. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
x = the original sale price and the formula is x - .40x =$276
Line ascending to the right gradually
Approach neg toward x through zero and above positive close to x

45. y=f(cx) what does this formula represent?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
0<c<1 - horizontal stretching
even
parraelle line

46. What is another way to write f(x)=x - what type of function is this?
Line ascending to the right gradually
same
in a quotient
Y=x - identity function

47. What is the domain for an absolute value function?
(-infinity - +infinity)
[0 -+infinity)
Equation of a line
Yes - all the domains points to one range

48. What is the domain of a square root function?
(-infinity - +infinity)
Y=x - identity function
inconsistant
[0 -+infinity)

49. x= a real number is what type of equation?
45 degree angle
[0 -+infinity)
Conditional
odd

50. How are functions normally written?
Cannot be drawn in quizlet
horizontal right
As equations
45 degree angle