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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. Is an absolute value function even - odd or neither?
(-infinity - +infinity)
zero slope
0<c<1 - horizontal stretching
even

2. Two vertical lines side by side are a symbol for what
parraelle line
f(x^1)=f(x^2)
function notation
negative inverse

3. What is the domain of the cube root function?
Square Root
[0 -+infinity)
(-infinity - +infinity)
45 degree angle

4. What is a domain?
The first set of components of an ordered pair
x is the hours to repair the boat. $1603-532=anwser/63 = x
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.
45 degree angle

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

6. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Y
only one
4 -6 -9
negative slope

7. y=f(cx) what does this formula represent?
Y=x^2 - graph
(-infinity - +infinity)
in a quotient
0<c<1 - horizontal stretching

8. What is the formula for an identity function?
in a quotient
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) = x
x=a

9. What direction does f(x)-c move in standard absolute value formula?
down
inconsitent
f(x)=3 square root x
As equations

10. What is the range of an identity function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
As many as you like
(-infinity - +infinity)
Line ascending to the right gradually

11. What type of slope do you have when a line falls left to right and m<0?
Approach neg toward x through zero and above positive close to x
f(x^1)=f(x^2)
negative slope
x2-x1 because the demonaitor of a quotient can never equal zero

12. What is the formula in both horizontal stretching and horizontal shrinking?
horizontal
parabola
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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

13. What type of slope do you have when a line rises from left to right and m>0?
C>1 - horizontal shrinking
f of g and g of f
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
postiive slope

14. What is the range for an absolute value function?
x=a
1 -2 -3
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - 0]U[0 - +infinity)

15. What is the domain and range of a constant function?
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The slope of a line containing two points
Equation of a line

16. What does the standard cubic function look like on a graph?
postiive slope
f of g and g of f
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

17. $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
Y=x^2 - graph
[0 -+infinity)
undefined

18. What is the domain for a standard quadratic function?
The single number y=
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)
even

19. Of the seven of algebra's common graph's how many are neither?
up
m
Cannot be drawn in quizlet
Square Root

20. What does the square root function look like on a graph?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
1 -2 -3
Line ascending to the right gradually
(-infinity - +infinity)

21. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
f(x) = x
f(x+h)-f(x)/h h cannot equal zero
inconsitent

22. What type of slope do you have when the line is horizontal and m=0?
The single number y=
(-infinity - +infinity)
zero slope
no because you cannot have one domain pointing at two y's or ranges

23. What are the steps for solving a word problem?
0<c<1 - horizontal stretching
f(x)=3 square root x
[0 -+infinity)
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

24. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
horizontal
Absolute Value - Constant and Standard Quadratic
x math 3 graph

25. What are two examples of composit functions?
f of g and g of f
The secant line
(-infinity - +infinity)
Y= then enter the number then press graph

26. What is the domain for an absolute value function?
only one
parraelle line
(-infinity - +infinity)
negative slope

27. What is the formula for to calculate the difference of a quotient function?
f(x)=x^3
Y= then enter the number then press graph
f(x+h)-f(x)/h h cannot equal zero
f(x) = x

28. How do you calculate a constant function in your calculator?
only one
same
math 4 x - graph
Y= then enter the number then press graph

29. f(x) = x^2+3x+5 - what type of formula is this?
Approach neg toward x through zero and above positive close to x
x math 3 graph
The minimum or maximum points
function notation

30. What does linear equation mean?
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
Equation of a line
because the demintor of a quotient can never equal zero
in a quotient

31. Which direction does f(x-c) move
even
horizontal right
x=a
because the demintor of a quotient can never equal zero

32. 4x+5x=8x is what type of an equation?
Conditional
x^2
x math 3 graph
[0 -+infinity)

33. how many ranges can you have for each domain?
only one
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
function notation
same

34. What type of slope do vertical lines have?
even
undefined
Y=10
f(x) = x

35. What is the slope of a perpendicular line?
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x) = x
negative inverse
f(x)=x^3

36. How are functions normally written?
undefined slope
As equations
identity
f of g and g of f

37. What is slope?
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
undefined
A line passing through two distinct points
C>1 - horizontal shrinking

38. What is the formula for the standard cubic function?
(-infinity - +infinity)
(-infinity - +infinity)
Y
f(x)=x^3

39. Is an identity function even - odd or neither?
odd
The single number y=
0<c<1 - horizontal stretching
A line passing through two distinct points

40. What is the domain of a square root function?
Any set of ordered pairs
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
[0 -+infinity)
horizontal left

41. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
20+.05x=5+.10x x=minutes
(-infinity - 0]U[0 - +infinity)
The second set of components of an ordered pair

42. Is a standard quadratic function even - odd or neither?
1 -2 -3
even
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

43. What type of line is an identity function?
inconsitent
x2-x1 because the demonaitor of a quotient can never equal zero
x is the hours to repair the boat. $1603-532=anwser/63 = x
45 degree angle

44. Draw or discuss a decreasing function
(-infinity - +infinity)
even
x=a
Cannot be drawn in quizlet

45. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
horizontal right
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)
identity

46. Which direction does f(x)=+c move in standard absolute value formula?
(-infinity - 0]U[0 - +infinity)
math 4 x - graph
up
Absolute Value - Constant and Standard Quadratic

47. What is the line called that illustrates the straight line between the two points when showing average rate of change?
odd
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The secant line

48. 4(x-7)=4x+28 is what type of an equation?
inconsitent
Approach neg toward x through zero and above positive close to x
(f+g) - (f-g) - (fg) - (f/g) all of x
[0 -+infinity)

49. What is the formula for an absolute value function?
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
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

50. What is the formula for the cube root function?
same
f(x)=3 square root x
f(x)=+c and f(x)-c
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