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CLEP College Algebra: Functions

Instructions:

Answer 50 questions in 15 minutes.
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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. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
(-infinity - +infinity)
identity
horizontal

2. What are the algebra of functions?
Y=x^2 - graph
identity
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
(f+g) - (f-g) - (fg) - (f/g) all of x

3. how many domains can you have pointing to one range?
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
As many as you like

4. What is the domain and range of a constant function?
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
negative inverse
m

5. A flat line underlining one vertical line is a symbol for
Y=b
Conditional
perpendicular line
4 -6 -9

6. x= a real number is what type of equation?
2nd key - x^2 - graph
Y
Conditional
f(x^1)=f(x^2)

7. What is the range for an absolute value function?
The minimum or maximum points
Change in y / change in x = rise / run = y2-y1 / x2-x1
1 -2 -3
(-infinity - 0]U[0 - +infinity)

8. What type of slope do you have when m=? and the line is vertical?
undefined slope
Yes - all the domains points to one range
The secant line
f(x^1)=f(x^2)

9. Of the seven of algebra's common graph's how many are neither?
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
Y= then enter the number then press graph
Square Root

10. What is the domain of the cube root function?
Yes because two x's or domains can point to one y
(-infinity - 0]U[0 - +infinity)
parabola - up one and right three
(-infinity - +infinity)

11. Draw or discuss an increasing function
Cannot be drawn in quizlet
identity
The single number y=
even

12. Draw or discuss a constant function
0<c<1 - horizontal stretching
(-infinity - +infinity)
When does a graph not define y as a function of x?
Cannot be drawn in quizlet

13. What shape is the standard quadratic function?
parabola
(-infinity - 0]U[0 - +infinity)
As many as you like
(-infinity - +infinity)

14. Is the standard cubic function odd - even or neither?
Y= then enter the number then press graph
Equation of a line
As equations
odd

15. What is the range of the cube root function?
same
undefined
(-infinity - +infinity)
math 4 x - graph

16. What type of slope do vertical lines have?
undefined
f(x2)-f(x1) / x2-x1
only one
x is the hours to repair the boat. $1603-532=anwser/63 = x

17. What is the vertical line formula?
x=a
parraelle line
Conditional
same

18. What type of line is a constant function?
f of g and g of f
x = the original sale price and the formula is x - .40x =$276
The secant line
horizontal

19. Draw or discuss a decreasing function
Cannot be drawn in quizlet
Line ascending to the right gradually
postiive slope
(-infinity - +infinity)

20. What is a domain?
Y=x - identity function
The first set of components of an ordered pair
inconsistant
Y

21. How do you graph Ax+By+C=0?
f(x)=IxI
Line ascending to the right gradually
(f+g) - (f-g) - (fg) - (f/g) all of x
Set the x and y to zero and get the intercepts and then plot the points

22. What is a constant function?
f(x2)-f(x1) / x2-x1
f(x)=3 square root x
The first set of components of an ordered pair
f(x^1)=f(x^2)

23. Is a constant function even - odd or neither?
45 degree angle
As equations
even
The second set of components of an ordered pair

24. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
f(x)=3 square root x
Y=x^2 - graph
f(x+h)-f(x)/h h cannot equal zero

25. Is an absolute value function even - odd or neither?
even
(-infinity - 0]U[0 - +infinity)
x=a
f(x)=x^3

26. What is the point slope formula and when do you use it?
parabola
Y= then enter the number then press graph
parabola - up one and right three
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

27. What is the formula for the cube root function?
Equation of a line
f(x)=3 square root x
The opposite coordinates
[0 -+infinity)

28. What is slope?
1 -2 -3
same
Cannot be drawn in quizlet
A line passing through two distinct points

29. What is the domain for a standard quadratic function?
(-infinity - +infinity)
As many as you like
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
C>1 - horizontal shrinking

30. What is the formula for to calculate the difference of a quotient function?
Approach neg toward x through zero and above positive close to x
f(x+h)-f(x)/h h cannot equal zero
f(x)=suare root of x
horizontal

31. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
horizontal right
parabola - up one and right three
because the demintor of a quotient can never equal zero

32. What type of slope do horizontal lines have?
Y=10
Y=IxI
The first set of components of an ordered pair
same

33. What is the domain of an identity function?
Square Root
Yes because two x's or domains can point to one y
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)

34. Of the seven of algebra's common graph's how many are odd?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
1 -2 -3
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet

35. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
As equations
parabola - up one and right three
Yes - all the domains points to one range
Y=b

36. What is the average rate of change formula?
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.
A V
f(x2)-f(x1) / x2-x1
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

37. What does the average rate of change formula solve?
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
The slope of a line containing two points

38. What is another way of writing the absolute value function?
Y=IxI
x = the original sale price and the formula is x - .40x =$276
identity
The minimum or maximum points

39. Two vertical lines side by side are a symbol for what
parraelle line
f(x+c) and f(x-c)
45 degree angle
x is the hours to repair the boat. $1603-532=anwser/63 = x

40. What is the domain of a square root function?
(-infinity - +infinity)
[0 -+infinity)
4 -6 -9
parabola

41. 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
inconsitent
same
Absolute Value - Constant and Standard Quadratic

42. What is the range for the standard cubic function?
Cannot be drawn in quizlet
even
(-infinity - +infinity)
horizontal right

43. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
f(x)=+c and f(x)-c
1 -2 -3
Line ascending to the right gradually
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.

44. What are the calculator instructions for the cube root function?
identity
math 4 x - graph
perpendicular line
even

45. What does linear equation mean?
x = the original sale price and the formula is x - .40x =$276
Cannot be drawn in quizlet
x is the hours to repair the boat. $1603-532=anwser/63 = x
Equation of a line

46. Of the seven of algebra's common graph's how many are even?
x is the hours to repair the boat. $1603-532=anwser/63 = x
Absolute Value - Constant and Standard Quadratic
Y=IxI
parabola

47. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
undefined
parabola
20+.05x=5+.10x x=minutes
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.

48. What type of line is an identity function?
horizontal left
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
f(x)=+c and f(x)-c

49. 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
(-infinity - +infinity)
horizontal left

50. How would this formula move f(x)=(x+1)^2-3
45 degree angle
parabola - up one and right three
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x

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CLEP College Algebra: Functions

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