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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 type of slope do vertical lines have?
Y= then enter the number then press graph
(f+g) - (f-g) - (fg) - (f/g) all of x
undefined
(-infinity - +infinity)

2. y=f(cx) - what does this formula represent?
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
As equations
C>1 - horizontal shrinking
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. how many ranges can you have for each domain?
only one
even
(-infinity - +infinity)
f(x)=suare root of x

4. What is the range of the cube root function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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 opposite coordinates
(-infinity - +infinity)

5. What is the domain of the cube root function?
same
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
horizontal right
(-infinity - +infinity)

6. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
[0 -+infinity)
As many as you like
(-infinity - +infinity)

7. What is the standard quadratic function?
x^2
horizontal left
postiive slope
(-infinity - +infinity)

8. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
When does a graph not define y as a function of x?
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
C>1 - horizontal shrinking
Cannot be drawn in quizlet

9. What does the graph of the cube root function look like on the graph?
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.
Approach neg toward x through zero and above positive close to x
Y=IxI
Absolute Value - Constant and Standard Quadratic

10. What does linear equation mean?
Equation of a line
Y=b
f(x)=IxI
A V

11. Is the square root function odd - even or neither?
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
even
neither

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

13. x=no real numbers is what type of an equation?
20+.05x=5+.10x x=minutes
inconsistant
Square Root
As many as you like

14. 4(x-7)=4x+28 is what type of an equation?
identity
inconsitent
(-infinity - 0]U[0 - +infinity)
x=a

15. what is a range?
f(x+c) and f(x-c)
The single number y=
f(x2)-f(x1) / x2-x1
The second set of components of an ordered pair

16. What is the range for the standard cubic function?
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
horizontal left
neither

17. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The minimum or maximum points
Yes - all the domains points to one range
Cannot be drawn in quizlet

18. Is a constant function even - odd or neither?
perpendicular line
even
Conditional
Change in y / change in x = rise / run = y2-y1 / x2-x1

19. What is another way of writing the absolute value function?
f(x)=suare root of x
[0 -+infinity)
Y=IxI
Equation of a line

20. What points do you use to plot the inverse on a graph?
(-infinity - +infinity)
The opposite coordinates
(f+g) - (f-g) - (fg) - (f/g) all of x
4 -6 -9

21. What is the domain and range of a constant function?
Conditional
(-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.
parraelle line

22. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
(-infinity - +infinity)
(-infinity - +infinity)
The opposite coordinates

23. What is the horizontal line formula?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=b
x=a
Mirror image neg quadrant to that of the positive quandrant

24. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
x is the hours to repair the boat. $1603-532=anwser/63 = x
horizontal
The minimum or maximum points

25. what is the letter used to represent slope?
m
no because you cannot have one domain pointing at two y's or ranges
even
f(x)=3 square root x

26. Two vertical lines side by side are a symbol for what
function notation
identity
in a quotient
parraelle line

27. What does the square root function look like on a graph?
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.
because the demintor of a quotient can never equal zero
Line ascending to the right gradually
x is the hours to repair the boat. $1603-532=anwser/63 = x

28. What type of slope do you have when the line is horizontal and m=0?
2nd catalog (zero key -) abs(x) - graph
in a quotient
x=a
zero slope

29. What are the calculator instructions for the standard cubic function?
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
x math 3 graph
f(x)=x^3

30. What can we substitute for f(x)?
The minimum or maximum points
inconsistant
Y
horizontal right

31. What type of line is an identity function?
(-infinity - 0]U[0 - +infinity)
Y=b
parraelle line
45 degree angle

32. What is a function?
When does a graph not define y as a function of x?
(-infinity - +infinity)
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

33. What type of slope do you have when a line falls left to right and m<0?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
x2-x1 because the demonaitor of a quotient can never equal zero
As many as you like
negative slope

34. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
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.
(-infinity - +infinity)
2nd key - x^2 - graph

35. What is the domain of an identity function?
f(x^1)=f(x^2)
The second set of components of an ordered pair
because the demintor of a quotient can never equal zero
(-infinity - +infinity)

36. What is the domain for an absolute value function?
(-infinity - +infinity)
f(x^1)=f(x^2)
no because you cannot have one domain pointing at two y's or ranges
even

37. x= a real number is what type of equation?
(-infinity - +infinity)
even
Conditional
C>1 - horizontal shrinking

38. Of the seven of algebra's common graph's how many are neither?
(-infinity - 0]U[0 - +infinity)
x math 3 graph
Square Root
Cannot be drawn in quizlet

39. What is the domain for the standard cubic function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
function notation
(-infinity - +infinity)
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.

40. $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?
20+.05x=5+.10x x=minutes
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
A V
odd

41. What type of slope do you have when m=? and the line is vertical?
undefined slope
x^2
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
because the demintor of a quotient can never equal zero

42. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Y=IxI
inconsitent
negative inverse

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

44. Is an absolute value function even - odd 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
parraelle line
even
x2-x1 because the demonaitor of a quotient can never equal zero

45. f(x) = x^2+3x+5 - what type of formula is this?
even
function notation
x is the hours to repair the boat. $1603-532=anwser/63 = x
Line ascending to the right gradually

46. What type of slope do horizontal lines have?
up
same
The secant line
f(x)=+c and f(x)-c

47. What is the vertex?
inconsistant
The minimum or maximum points
function notation
f(x)=+c and f(x)-c

48. How are functions normally written?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
4 -6 -9
A V
As equations

49. What is the formula for an absolute value function?
in a quotient
f(x)=IxI
f(x2)-f(x1) / x2-x1
neither

50. Of the seven of algebra's common graph's how many are even?
horizontal
postiive slope
Absolute Value - Constant and Standard Quadratic
f(x+h)-f(x)/h h cannot equal zero