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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 range for a standard quadratic function?
Approach neg toward x through zero and above positive close to x
even
identity
(-infinity - 0]U[0 - +infinity)

2. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
C>1 - horizontal shrinking
A line passing through two distinct points
x2-x1 because the demonaitor of a quotient can never equal zero

3. $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?
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
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)

4. What type of slope do horizontal lines have?
Yes because two x's or domains can point to one y
x math 3 graph
Yes - all the domains points to one range
same

5. What is the average rate of change formula?
The opposite coordinates
f(x2)-f(x1) / x2-x1
down
Conditional

6. What is the formula for the cube root function?
Equation of a line
f(x)=3 square root x
The single number y=
same

7. What is the domain for the standard cubic function?
(-infinity - +infinity)
Y=x^2 - graph
Equation of a line
When does a graph not define y as a function of x?

8. Of the seven of algebra's common graph's how many are odd?
As many as you like
Three odd - cube root - identity - standard cubic
When does a graph not define y as a function of x?
identity

9. What type of slope do you have when a line falls left to right and m<0?
negative slope
Yes because two x's or domains can point to one y
down
Equation of a line

10. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
m
parabola
(-infinity - +infinity)

11. What are the algebra of functions?
x2-x1 because the demonaitor of a quotient can never equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x
[0 -+infinity)
horizontal right

12. what is a range?
The second set of components of an ordered pair
Cannot be drawn in quizlet
Cannot be drawn in quizlet
negative inverse

13. What is the formula for an identity function?
neither
perpendicular line
f(x)=3 square root x
f(x) = x

14. What is slope?
even
A line passing through two distinct points
x is the hours to repair the boat. $1603-532=anwser/63 = x
x = the original sale price and the formula is x - .40x =$276

15. What is the range for the standard cubic function?
f(x)=suare root of x
x = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1

16. What is the vertical line formula?
x=a
x is the hours to repair the boat. $1603-532=anwser/63 = x
2nd key - x^2 - graph
(-infinity - 0]U[0 - +infinity)

17. how many domains can you have pointing to one range?
As many as you like
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
Y=IxI
f(x)=IxI

18. What is a relation?
horizontal right
x^2
Any set of ordered pairs
down

19. What is a constant function?
f(x^1)=f(x^2)
Y=x - identity function
horizontal
m

20. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
x = the original sale price and the formula is x - .40x =$276
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 of g and g of f
identity

21. What are the calculator instructions for absolute value?
f(x)=suare root of x
45 degree angle
2nd catalog (zero key -) abs(x) - graph
20+.05x=5+.10x x=minutes

22. What is the vertex?
The minimum or maximum points
x math 3 graph
(-infinity - 0]U[0 - +infinity)
C>1 - horizontal shrinking

23. What type of line is an identity function?
f(x) = x
no because you cannot have one domain pointing at two y's or ranges
45 degree angle
inconsitent

24. What equation does every line have? Discuss the variables.
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.
Conditional
Absolute Value - Constant and Standard Quadratic
Conditional

25. What points do you use to plot the inverse on a graph?
The opposite coordinates
negative slope
parabola
(-infinity - +infinity)

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

27. What is the horizontal line formula?
Y=b
Y= then enter the number then press graph
horizontal
parabola - up one and right three

28. What is the domain of the cube root function?
(-infinity - +infinity)
Y=b
f of g and g of f
identity

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

30. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
in a quotient
As many as you like
20+.05x=5+.10x x=minutes
even

31. what can never equal zero in the slope formula and why?
0<c<1 - horizontal stretching
(-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.
x2-x1 because the demonaitor of a quotient can never equal zero

32. What does the absolute value function look like?
A V
Yes - all the domains points to one range
inconsistant
45 degree angle

33. Is an identity function even - odd or neither?
Conditional
odd
parabola
even

34. What type of line is a constant function?
m
horizontal
f(x) = x
f of g and g of f

35. x= a real number is what type of equation?
no because you cannot have one domain pointing at two y's or ranges
45 degree angle
Conditional
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

36. What are the four steps for finding the inverse of a function?
Absolute Value - Constant and Standard Quadratic
horizontal right
Three odd - cube root - identity - standard cubic
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

37. What are the calculator instructions for the standard cubic function?
Y=10
identity
x math 3 graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

38. What does linear equation mean?
Equation of a line
f(x)=suare root of x
up
(-infinity - +infinity)

39. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
Yes because two x's or domains can point to one y
no because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)

40. Is a standard quadratic function even - odd or neither?
even
horizontal left
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
Y=x^2 - graph

41. What does the standard cubic function look like on a graph?
The minimum or maximum points
f(x)=x^3
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.
Mirror image neg quadrant to that of the positive quandrant

42. What is another way of writing the absolute value function?
Line ascending to the right gradually
Y=IxI
(-infinity - +infinity)
The single number y=

43. What are the calculator instructions for a square root function?
no because you cannot have one domain pointing at two y's or ranges
parraelle line
Any set of ordered pairs
2nd key - x^2 - graph

44. What is the range of an identity function?
x = the original sale price and the formula is x - .40x =$276
The minimum or maximum points
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x

45. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
45 degree angle
Y=x - identity function
x=a
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

46. In an identity function if f(10)=x than what is y?
undefined slope
parraelle line
(-infinity - +infinity)
Y=10

47. What is the vertical line test?
Equation of a line
Y=x - identity function
When does a graph not define y as a function of x?
The slope of a line containing two points

48. How would this formula move f(x)=(x+1)^2-3
f(x)=x^3
negative inverse
Absolute Value - Constant and Standard Quadratic
parabola - up one and right three

49. What does the square root function look like on a graph?
Line ascending to the right gradually
same
in a quotient
f(x+c) and f(x-c)

50. How are functions normally written?
(-infinity - +infinity)
As equations
Y
(-infinity - 0]U[0 - +infinity)