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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 formula for the cube root function?
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
Cannot be drawn in quizlet

2. What is another way of writing the absolute value function?
even
(-infinity - +infinity)
even
Y=IxI

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

4. What type of slope do you have when m=? and the line is vertical?
20+.05x=5+.10x x=minutes
horizontal
undefined slope
f(x) = x

5. What is the formula for to calculate the difference of a quotient function?
undefined
45 degree angle
f(x+h)-f(x)/h h cannot equal zero
The first set of components of an ordered pair

6. What is the standard quadratic function?
(f+g) - (f-g) - (fg) - (f/g) all of x
x^2
f(x2)-f(x1) / x2-x1
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

7. What is an identity function?
inconsitent
The slope of a line containing two points
x = the original sale price and the formula is x - .40x =$276
45 degree angle

8. x=no real numbers is what type of an equation?
inconsistant
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
inconsitent
same

9. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
even
C>1 - horizontal shrinking
Conditional

10. Two vertical lines side by side are a symbol for what
Y
parraelle line
function notation
x=a

11. What does the absolute value function look like?
f of g and g of f
postiive slope
A V
2nd catalog (zero key -) abs(x) - graph

12. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
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
down
f(x)=3 square root x

13. 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
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.
2nd catalog (zero key -) abs(x) - graph
parraelle line

14. What is a constant function?
C>1 - horizontal shrinking
f(x^1)=f(x^2)
Y=x^2 - graph
The slope of a line containing two points

15. What is the line called that illustrates the straight line between the two points when showing average rate of change?
horizontal
f(x)=3 square root x
(-infinity - +infinity)
The secant line

16. What type of slope do you have when the line is horizontal and m=0?
zero slope
As equations
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

17. What is slope?
Conditional
Any set of ordered pairs
Set the x and y to zero and get the intercepts and then plot the points
A line passing through two distinct points

18. How would this formula move f(x)=(x+1)^2-3
The slope of a line containing two points
f(x)=x^3
math 4 x - graph
parabola - up one and right three

19. What type of slope do vertical lines have?
(-infinity - +infinity)
f(x)=IxI
f(x^1)=f(x^2)
undefined

20. what is the formula for slope?
negative slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - 0]U[0 - +infinity)
As equations

21. What is the horizontal line formula?
Cannot be drawn in quizlet
When does a graph not define y as a function of x?
parabola - up one and right three
Y=b

22. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
45 degree angle
in a quotient
up

23. 4(x-7)=4x-28 is what type of an equation?
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
f of g and g of f
Y= then enter the number then press graph
identity

24. How do you calculate a constant function in your calculator?
The second set of components of an ordered pair
Y= then enter the number then press graph
parraelle line
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

25. What is the range of the constant 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
Square Root
x = the original sale price and the formula is x - .40x =$276
The single number y=

26. What are the calculator instructions for a square root function?
negative inverse
2nd key - x^2 - graph
Cannot be drawn in quizlet
Three odd - cube root - identity - standard cubic

27. Standard absolute value - vertical shift formulas for positve and negative
Y=IxI
x2-x1 because the demonaitor of a quotient can never equal zero
f(x)=+c and f(x)-c
(-infinity - +infinity)

28. What are the calculator instructions for a standard quadratic equation?
Conditional
Y=x^2 - graph
(-infinity - +infinity)
The minimum or maximum points

29. What is the domain and range of a constant function?
C>1 - horizontal shrinking
Conditional
(-infinity - +infinity)
math 4 x - graph

30. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Set the x and y to zero and get the intercepts and then plot the points
Cannot be drawn in quizlet
4 -6 -9
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

31. What points do you use to plot the inverse on a graph?
(-infinity - +infinity)
Y=IxI
undefined
The opposite coordinates

32. 4x+5x=8x is what type of an equation?
The slope of a line containing two points
(-infinity - +infinity)
horizontal
Conditional

33. Which direction does f(x+c) move
up
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.
f of g and g of f
horizontal left

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

35. What is the range for the standard cubic function?
Y=IxI
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
horizontal
(-infinity - +infinity)

36. f(x) = x^2+3x+5 - what type of formula is this?
negative slope
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.
function notation
only one

37. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
1 -2 -3
x is the hours to repair the boat. $1603-532=anwser/63 = x
C>1 - horizontal shrinking

38. $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
45 degree angle
Square Root
negative inverse

39. What is a function?
Square Root
in a quotient
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

40. A flat line underlining one vertical line is a symbol for
even
perpendicular line
Piecewise
x is the hours to repair the boat. $1603-532=anwser/63 = x

41. What is the domain for a standard quadratic function?
Y=x^2 - graph
The single number y=
function notation
(-infinity - +infinity)

42. x= a real number is what type of equation?
2nd key - x^2 - graph
Cannot be drawn in quizlet
Conditional
perpendicular line

43. What is the vertical line formula?
x is the hours to repair the boat. $1603-532=anwser/63 = x
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
x=a
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

44. What is the vertical line test?
Set the x and y to zero and get the intercepts and then plot the points
f(x)=x^3
parabola - up one and right three
When does a graph not define y as a function of x?

45. What is the formula for the square root function?
A line passing through two distinct points
even
f(x)=suare root of x
(-infinity - +infinity)

46. What is the average rate of change formula?
up
2nd catalog (zero key -) abs(x) - graph
f(x2)-f(x1) / x2-x1
Equation of a line

47. what is a range?
identity
The second set of components of an ordered pair
(-infinity - +infinity)
neither

48. What does the square root function look like on a graph?
Line ascending to the right gradually
down
The second set of components of an ordered pair
horizontal left

49. x=all real numbers is what type of an equation?
identity
horizontal
f(x2)-f(x1) / x2-x1
same

50. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
Y=x^2 - graph
neither
f(x)=3 square root x