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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 another way of writing the absolute value function?
f(x)=suare root of x
Line ascending to the right gradually
(-infinity - +infinity)
Y=IxI

2. What is the horizontal line formula?
Y=b
Mirror image neg quadrant to that of the positive quandrant
0<c<1 - horizontal stretching
Cannot be drawn in quizlet

3. What are the calculator instructions for a standard quadratic equation?
negative inverse
Y=x^2 - graph
A line passing through two distinct points
Three odd - cube root - identity - standard cubic

4. What can we substitute for f(x)?
Conditional
Line ascending to the right gradually
Y
2nd key - x^2 - graph

5. what is a range?
As many as you like
x math 3 graph
The second set of components of an ordered pair
A V

6. What does the average rate of change formula solve?
Yes because two x's or domains can point to one y
Conditional
odd
The slope of a line containing two points

7. What is the formula for an identity function?
inconsistant
The slope of a line containing two points
f(x) = x
postiive slope

8. What is the range of the constant function?
function notation
As many as you like
The single number y=
Y

9. $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?
horizontal
Yes because two x's or domains can point to one y
Y=IxI
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

10. Draw or discuss an increasing function
x = the original sale price and the formula is x - .40x =$276
Square Root
Y=b
Cannot be drawn in quizlet

11. Is a standard quadratic function even - odd or neither?
20+.05x=5+.10x x=minutes
even
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points

12. What is slope?
Absolute Value - Constant and Standard Quadratic
f(x+c) and f(x-c)
The first set of components of an ordered pair
A line passing through two distinct points

13. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and what is x?
no because you cannot have one domain pointing at two y's or ranges
x is the hours to repair the boat. $1603-532=anwser/63 = x
parraelle line
When does a graph not define y as a function of x?

14. Of the seven of algebra's common graph's how many are even?
f(x)=suare root of x
Absolute Value - Constant and Standard Quadratic
Y=b
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.

15. 4(x-7)=4x-28 is what type of an equation?
neither
0<c<1 - horizontal stretching
identity
horizontal

16. Is a constant function even - odd or neither?
x math 3 graph
inconsistant
horizontal
even

17. What shape is the standard quadratic function?
parabola
(-infinity - +infinity)
horizontal
Three odd - cube root - identity - standard cubic

18. What is a relation?
Conditional
Any set of ordered pairs
f(x)=suare root of x
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.

19. x=all real numbers is what type of an equation?
Y=10
Cannot be drawn in quizlet
identity
inconsitent

20. What is 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.
Y
f(x^1)=f(x^2)
no because you cannot have one domain pointing at two y's or ranges

21. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
down

22. What is the formula for to calculate the difference of a quotient function?
Cannot be drawn in quizlet
f(x+h)-f(x)/h h cannot equal zero
[0 -+infinity)
The single number y=

23. What is the domain for an absolute value function?
(-infinity - +infinity)
same
Line ascending to the right gradually
(f+g) - (f-g) - (fg) - (f/g) all of x

24. Is an identity function even - odd or neither?
odd
Y=IxI
f(x+h)-f(x)/h h cannot equal zero
f(x^1)=f(x^2)

25. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
4 -6 -9
Cannot be drawn in quizlet

26. Which direction does f(x-c) move
Y= then enter the number then press graph
undefined
horizontal right
Absolute Value - Constant and Standard Quadratic

27. What are the calculator instructions for the standard cubic function?
x math 3 graph
even
Three odd - cube root - identity - standard cubic
negative slope

28. How would this formula move f(x)=(x+1)^2-3
horizontal right
parabola - up one and right three
inconsistant
(-infinity - +infinity)

29. What does the absolute value function look like?
Mirror image neg quadrant to that of the positive quandrant
A V
4 -6 -9
The single number y=

30. What is the range for an absolute value function?
Y=x - identity function
Line ascending to the right gradually
function notation
(-infinity - 0]U[0 - +infinity)

31. What is the domain of a square root 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
Change in y / change in x = rise / run = y2-y1 / x2-x1
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
[0 -+infinity)

32. What type of function would you use to calculate the most advantageous cell phone plan?
Y=IxI
The opposite coordinates
parabola - up one and right three
Piecewise

33. What is the formula for the standard cubic function?
zero slope
f(x)=x^3
Y=10
no because you cannot have one domain pointing at two y's or ranges

34. What is the slope intercept formula? Define all the variables.
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f of g and g of f
Conditional

35. What is the standard quadratic function?
Mirror image neg quadrant to that of the positive quandrant
x^2
Cannot be drawn in quizlet
Square Root

36. What is the domain of an identity function?
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
x^2
Approach neg toward x through zero and above positive close to x

37. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
[0 -+infinity)
f(x)=suare root of x
function notation

38. Why can h not equal zero in the difference of a quotient function formula?
x^2
in a quotient
because the demintor of a quotient can never equal zero
The first set of components of an ordered pair

39. Of the seven of algebra's common graph's how many are odd?
(-infinity - +infinity)
The slope of a line containing two points
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.
Three odd - cube root - identity - standard cubic

40. What is the formula in both horizontal stretching and horizontal shrinking?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The slope of a line containing two points
Change in y / change in x = rise / run = y2-y1 / x2-x1
As many as you like

41. 4x+5x=8x is what type of an equation?
horizontal
Conditional
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 right

42. Is the square root function odd - even or neither?
in a quotient
1 -2 -3
f of g and g of f
neither

43. How are functions normally written?
As equations
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
The secant line
f(x)=suare root of x

44. What does the standard cubic function look like on a graph?
Y=b
4 -6 -9
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant

45. What is a function?
horizontal right
inconsitent
Any set of ordered pairs
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

46. What type of slope do you have when the line is horizontal and m=0?
0<c<1 - horizontal stretching
identity
because the demintor of a quotient can never equal zero
zero slope

47. What is an identity function?
identity
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.
f(x)=3 square root x
45 degree angle

48. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
The secant line
(-infinity - +infinity)
The second set of components of an ordered pair

49. What is the formula for the cube root function?
When does a graph not define y as a function of x?
Y=x - identity function
identity
f(x)=3 square root x

50. What equation does every line have? Discuss the variables.
f(x) = x
undefined
Y=x - identity 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.