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 for an absolute value function?
(-infinity - 0]U[0 - +infinity)
The minimum or maximum points
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)

2. What points do you use to plot the inverse on a 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
(-infinity - +infinity)
f(x+c) and f(x-c)
The opposite coordinates

3. y=f(cx) what does this formula represent?
same
0<c<1 - horizontal stretching
f of g and g of f
(-infinity - +infinity)

4. What are two examples of composit functions?
only one
Equation of a line
x=a
f of g and g of f

5. What are the calculator instructions for the standard cubic function?
x math 3 graph
inconsistant
Cannot be drawn in quizlet
undefined slope

6. What is the domain and range of a constant function?
Yes because two x's or domains can point to one y
45 degree angle
(-infinity - +infinity)
same

7. What are the calculator instructions for a square root function?
because the demintor of a quotient can never equal zero
no because you cannot have one domain pointing at two y's or ranges
2nd key - x^2 - graph
x math 3 graph

8. f(x) = x^2+3x+5 - what type of formula is this?
down
Cannot be drawn in quizlet
function notation
The secant line

9. What does the average rate of change formula solve?
The slope of a line containing two points
Y=x^2 - graph
even
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

10. how many domains can you have pointing to one range?
As many as you like
odd
m
(-infinity - +infinity)

11. How do you graph Ax+By+C=0?
0<c<1 - horizontal stretching
(f+g) - (f-g) - (fg) - (f/g) all of x
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)

12. What are the calculator instructions for a standard quadratic equation?
f(x2)-f(x1) / x2-x1
Y=x^2 - graph
Square Root
odd

13. Is a constant function even - odd or neither?
f(x)=suare root of x
Piecewise
even
only one

14. How are functions normally written?
[0 -+infinity)
undefined
f(x2)-f(x1) / x2-x1
As equations

15. What does linear equation mean?
(-infinity - 0]U[0 - +infinity)
The slope of a line containing two points
Equation of a line
Y

16. Standard absolute value - horizontal shift formulas for left and right
neither
f(x+c) and f(x-c)
x^2
Approach neg toward x through zero and above positive close to x

17. Which direction does f(x-c) move
Piecewise
postiive slope
horizontal right
(-infinity - 0]U[0 - +infinity)

18. What is the vertical line formula?
x2-x1 because the demonaitor of a quotient can never equal zero
The opposite coordinates
(-infinity - +infinity)
x=a

19. What is the range of the cube root function?
Conditional
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
even

20. What are the steps for solving a word problem?
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
The secant line
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

21. What is a constant function?
m
f(x^1)=f(x^2)
inconsitent
Y= then enter the number then press graph

22. What type of line is a constant function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
horizontal
(-infinity - +infinity)
Line ascending to the right gradually

23. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
f(x)=x^3
2nd catalog (zero key -) abs(x) - graph
Set the x and y to zero and get the intercepts and then plot the points

24. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The secant line
1 -2 -3
f(x)=suare root of x

25. Draw or discuss a constant function
Cannot be drawn in quizlet
2nd key - x^2 - graph
f(x)=suare root of x
The single number y=

26. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
parraelle line
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The first set of components of an ordered pair

27. What does the absolute value function look like?
(-infinity - +infinity)
A V
[0 -+infinity)
Approach neg toward x through zero and above positive close to x

28. Draw or discuss an increasing function
Cannot be drawn in quizlet
up
x^2
down

29. What is the vertical line test?
only one
Y
inconsitent
When does a graph not define y as a function of x?

30. What does the standard cubic function look like on a graph?
odd
(-infinity - 0]U[0 - +infinity)
Mirror image neg quadrant to that of the positive quandrant
Set the x and y to zero and get the intercepts and then plot the points

31. What can we substitute for f(x)?
Y
Conditional
(-infinity - +infinity)
Y=10

32. What type of slope do vertical lines have?
As equations
undefined
Mirror image neg quadrant to that of the positive quandrant
Y=b

33. y=f(cx) - what does this formula represent?
45 degree angle
C>1 - horizontal shrinking
zero slope
The opposite coordinates

34. What is a relation?
Any set of ordered pairs
perpendicular line
The minimum or maximum points
Mirror image neg quadrant to that of the positive quandrant

35. Two vertical lines side by side are a symbol for what
f(x)=IxI
identity
parraelle line
odd

36. Is the standard cubic function odd - even or neither?
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
Set the x and y to zero and get the intercepts and then plot the points
odd
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 formula for an identity function?
f(x) = x
The single number y=
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Set the x and y to zero and get the intercepts and then plot the points

38. What is the formula for an absolute value function?
even
When does a graph not define y as a function of x?
f(x)=IxI
f(x)=3 square root x

39. x= a real number is what type of equation?
Conditional
postiive slope
even
4 -6 -9

40. What is the formula for the standard cubic function?
Yes because two x's or domains can point to one y
f(x)=x^3
(-infinity - +infinity)
The second set of components of an ordered pair

41. how many ranges can you have for each domain?
even
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.
only one
no because you cannot have one domain pointing at two y's or ranges

42. In an identity function if f(10)=x than what is y?
Y=10
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
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

43. Which direction does f(x+c) move
f(x)=x^3
4 -6 -9
horizontal left
Square Root

44. What type of slope do you have when a line falls left to right and m<0?
(-infinity - +infinity)
(-infinity - +infinity)
As equations
negative slope

45. 4x+5x=8x is what type of an equation?
(-infinity - +infinity)
(-infinity - +infinity)
Conditional
Three odd - cube root - identity - standard cubic

46. What type of slope do you have when the line is horizontal and m=0?
x=a
A V
zero 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

47. x=all real numbers is what type of an equation?
f(x)=x^3
m
The single number y=
identity

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

49. What does the graph of the cube root function look like on the graph?
Y= then enter the number then press graph
Approach neg toward x through zero and above positive close to x
4 -6 -9
Equation of a line

50. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
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
horizontal
Yes - all the domains points to one range
m