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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 is the average rate of change formula?
A V
Approach neg toward x through zero and above positive close to x
perpendicular line
f(x2)-f(x1) / x2-x1

2. x=all real numbers is what type of an equation?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=b
up
identity

3. Draw or discuss a decreasing 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
Cannot be drawn in quizlet
identity
Yes because two x's or domains can point to one y

4. What is the domain of a square root function?
Three odd - cube root - identity - standard cubic
zero slope
Yes because two x's or domains can point to one y
[0 -+infinity)

5. What is another way of writing the absolute value function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
f(x+c) and f(x-c)
even
Y=IxI

6. What type of line is a constant function?
neither
Y=x^2 - graph
horizontal
Mirror image neg quadrant to that of the positive quandrant

7. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
down
Yes - all the domains points to one range
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
in a quotient

8. What is the formula for the cube root function?
Yes - all the domains points to one range
postiive slope
The single number y=
f(x)=3 square root x

9. What is the range of the cube root function?
(-infinity - +infinity)
1 -2 -3
inconsitent
A line passing through two distinct points

10. What is the domain for an absolute value function?
negative inverse
(-infinity - +infinity)
As many as you like
4 -6 -9

11. Draw or discuss an increasing function
The single number y=
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.
When does a graph not define y as a function of x?
Cannot be drawn in quizlet

12. How would this formula move f(x)=(x+1)^2-3
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f of g and g of f
parabola - up one and right three
2nd catalog (zero key -) abs(x) - graph

13. What direction does f(x)-c move in standard absolute value formula?
Mirror image neg quadrant to that of the positive quandrant
parabola - up one and right three
down
Yes because two x's or domains can point to one y

14. Is an identity function even - odd or neither?
undefined
odd
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
horizontal

15. Which direction does f(x-c) move
When does a graph not define y as a function of x?
horizontal right
odd
Square Root

16. how many ranges can you have for each domain?
f(x2)-f(x1) / x2-x1
2nd key - x^2 - graph
45 degree angle
only one

17. what is the letter used to represent slope?
parabola
m
down
f(x2)-f(x1) / x2-x1

18. In an identity function if f(10)=x than what is y?
Y=10
0<c<1 - horizontal stretching
(-infinity - +infinity)
f of g and g of f

19. What is the domain of an identity function?
even
Cannot be drawn in quizlet
20+.05x=5+.10x x=minutes
(-infinity - +infinity)

20. What type of slope do you have when the line is horizontal and m=0?
zero slope
f(x) = x
Cannot be drawn in quizlet
f(x)=suare root of x

21. Which direction does f(x+c) move
Square Root
even
horizontal left
Y=x - identity function

22. Is the standard cubic function odd - even or neither?
odd
Cannot be drawn in quizlet
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)=3 square root x

23. What type of slope do you have when a line rises from left to right and m>0?
A V
postiive slope
Y
As equations

24. What is another way to write f(x)=x - what type of function is this?
up
f(x2)-f(x1) / x2-x1
A V
Y=x - identity function

25. What is the slope intercept formula? Define all the variables.
Mirror image neg quadrant to that of the positive quandrant
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
odd
The opposite coordinates

26. What are the calculator instructions for absolute value?
[0 -+infinity)
2nd catalog (zero key -) abs(x) - graph
4 -6 -9
Conditional

27. y=f(cx) what does this formula represent?
perpendicular line
0<c<1 - horizontal stretching
Absolute Value - Constant and Standard Quadratic
[0 -+infinity)

28. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
neither
The minimum or maximum points
x = the original sale price and the formula is x - .40x =$276
parraelle line

29. What is the range for the standard cubic 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
C>1 - horizontal shrinking
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

30. Which direction does f(x)=+c move in standard absolute value formula?
f(x)=+c and f(x)-c
x = the original sale price and the formula is x - .40x =$276
up
Three odd - cube root - identity - standard cubic

31. What is 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
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
no because you cannot have one domain pointing at two y's or ranges
The second set of components of an ordered pair

32. What type of slope do horizontal lines have?
same
f(x)=IxI
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
zero slope

33. What does the standard cubic function look like on a graph?
(-infinity - +infinity)
undefined slope
Mirror image neg quadrant to that of the positive quandrant
[0 -+infinity)

34. What is a relation?
same
Any set of ordered pairs
math 4 x - graph
45 degree angle

35. How are functions normally written?
parabola
Any set of ordered pairs
f(x^1)=f(x^2)
As equations

36. $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
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
Conditional
C>1 - horizontal shrinking

37. What is the range for a standard quadratic function?
Cannot be drawn in quizlet
Yes because two x's or domains can point to one y
horizontal
(-infinity - 0]U[0 - +infinity)

38. What is the vertical line formula?
odd
x=a
parraelle line
m

39. What are the steps for solving a word problem?
(-infinity - +infinity)
Y=b
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
Mirror image neg quadrant to that of the positive quandrant

40. What is the range of an identity function?
same
(-infinity - +infinity)
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
Cannot be drawn in quizlet

41. Why can h not equal zero in the difference of a quotient function formula?
horizontal left
even
because the demintor of a quotient can never equal zero
45 degree angle

42. What is the slope of a perpendicular line?
Three odd - cube root - identity - standard cubic
negative inverse
Mirror image neg quadrant to that of the positive quandrant
horizontal

43. What are the calculator instructions for the cube root function?
undefined
math 4 x - graph
Line ascending to the right gradually
When does a graph not define y as a function of x?

44. What is the formula for the square root function?
f(x)=suare root of x
(-infinity - +infinity)
4 -6 -9
C>1 - horizontal shrinking

45. what is the formula for slope?
Conditional
Change in y / change in x = rise / run = y2-y1 / x2-x1
m
The first set of components of an ordered pair

46. Is an absolute value function even - odd or neither?
even
As many as you like
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

47. how many domains can you have pointing to one range?
identity
odd
(-infinity - 0]U[0 - +infinity)
As many as you like

48. What is the vertical line test?
(-infinity - +infinity)
When does a graph not define y as a function of x?
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)

49. What is the domain of the cube root function?
Y=x^2 - graph
same
neither
(-infinity - +infinity)

50. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the 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
m
Square Root