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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 direction does f(x)-c move in standard absolute value formula?
down
zero slope
The opposite coordinates
up

2. What are the algebra of functions?
f(x+c) and f(x-c)
f(x)=3 square root x
(f+g) - (f-g) - (fg) - (f/g) all of x
undefined

3. Is a constant function even - odd or neither?
x = the original sale price and the formula is x - .40x =$276
neither
even
horizontal

4. What are the four steps for solving a linear equation?
The single number y=
math 4 x - graph
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(x+c) and f(x-c)

5. What is a domain?
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
The first set of components of an ordered pair

6. Two vertical lines side by side are a symbol for what
negative inverse
Square Root
f(x+h)-f(x)/h h cannot equal zero
parraelle line

7. What is the domain and range of a constant function?
(-infinity - +infinity)
same
horizontal left
Line ascending to the right gradually

8. What is the range for the standard cubic function?
Y=10
f(x) = x
(-infinity - +infinity)
A V

9. What type of slope do you have when a line rises from left to right and m>0?
(-infinity - +infinity)
postiive slope
x = the original sale price and the formula is x - .40x =$276
down

10. What is the range of a square root function?
[0 -+infinity)
odd
Set the x and y to zero and get the intercepts and then plot the points
parabola - up one and right three

11. f(x) = x^2+3x+5 - what type of formula is this?
function notation
f(x)=3 square root x
f of g and g of f
(-infinity - +infinity)

12. How are functions normally written?
As equations
function notation
Three odd - cube root - identity - standard cubic
horizontal right

13. Draw or discuss a decreasing function
up
(-infinity - +infinity)
[0 -+infinity)
Cannot be drawn in quizlet

14. Standard absolute value - horizontal shift formulas for left and right
Conditional
f(x+c) and f(x-c)
identity
horizontal left

15. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
A V
(-infinity - +infinity)
1 -2 -3
only one

16. What equation does every line have? Discuss the variables.
(-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.
math 4 x - graph
inconsistant

17. What is the vertical line formula?
x = the original sale price and the formula is x - .40x =$276
only one
x=a
(-infinity - +infinity)

18. 4(x-7)=4x+28 is what type of an equation?
math 4 x - graph
even
inconsitent
negative slope

19. How do you graph Ax+By+C=0?
horizontal
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=x - identity function
Set the x and y to zero and get the intercepts and then plot the points

20. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
neither
C>1 - horizontal shrinking
Set the x and y to zero and get the intercepts and then plot the points

21. What is the slope intercept formula? Define all the variables.
perpendicular line
(-infinity - 0]U[0 - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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.

22. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Yes because two x's or domains can point to one y
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
neither
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

23. What type of slope do you have when the line is horizontal and m=0?
zero slope
(-infinity - +infinity)
The second set of components of an ordered pair
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

24. A flat line underlining one vertical line is a symbol for
perpendicular line
horizontal left
A line passing through two distinct points
x2-x1 because the demonaitor of a quotient can never equal zero

25. Which direction does f(x-c) move
2nd catalog (zero key -) abs(x) - graph
Yes - all the domains points to one range
horizontal right
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

26. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
horizontal right
1 -2 -3
inconsistant

27. What does the standard cubic function look like on a graph?
Cannot be drawn in quizlet
negative slope
(-infinity - 0]U[0 - +infinity)
Mirror image neg quadrant to that of the positive quandrant

28. What type of slope do you have when m=? and the line is vertical?
(-infinity - +infinity)
undefined slope
zero slope
Any set of ordered pairs

29. What is the range of an identity function?
(-infinity - +infinity)
no because you cannot have one domain pointing at two y's or ranges
parabola - up one and right three
because the demintor of a quotient can never equal zero

30. What is the formula for an identity function?
horizontal left
f(x) = x
Cannot be drawn in quizlet
Equation of a line

31. What points do you use to plot the inverse on a graph?
The opposite coordinates
The single number y=
Equation of a line
Cannot be drawn in quizlet

32. Is an absolute value function even - odd or neither?
even
The slope of a line containing two points
horizontal
inconsitent

33. What are the calculator instructions for a standard quadratic equation?
20+.05x=5+.10x x=minutes
Cannot be drawn in quizlet
Y=x^2 - graph
f(x^1)=f(x^2)

34. What is a relation?
C>1 - horizontal shrinking
(-infinity - +infinity)
Any set of ordered pairs
f(x)=x^3

35. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
f(x+c) and f(x-c)
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.
The secant line

36. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)
undefined
f(x)=x^3

37. What type of function would you use to calculate the most advantageous cell phone plan?
inconsistant
Piecewise
f(x) = x
Y=IxI

38. What is the horizontal line formula?
m
only one
Y=b
Y=x - identity function

39. What is another way of writing the absolute value 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
Y=IxI
Y=x^2 - graph
f(x+c) and f(x-c)

40. Draw or discuss a constant function
x = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet
20+.05x=5+.10x x=minutes
parraelle line

41. x= a real number is what type of equation?
Conditional
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
A line passing through two distinct points
f(x^1)=f(x^2)

42. Which direction does f(x)=+c move in standard absolute value formula?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
parabola
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.
up

43. What type of slope do horizontal lines have?
Y=b
no because you cannot have one domain pointing at two y's or ranges
same
m

44. What is the formula for the standard cubic function?
2nd key - x^2 - graph
The minimum or maximum points
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(x)=x^3

45. What is the range for an absolute value function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - 0]U[0 - +infinity)
As many as you like
(-infinity - +infinity)

46. What does linear equation mean?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
Equation of a line
zero slope

47. what is the formula for slope?
same
Y=b
Change in y / change in x = rise / run = y2-y1 / x2-x1
only one

48. 4(x-7)=4x-28 is what type of an equation?
in a quotient
(-infinity - +infinity)
identity
even

49. x=all real numbers is what type of an equation?
identity
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
Line ascending to the right gradually

50. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
Y= then enter the number then press graph
down
only one