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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 a domain?
45 degree angle
A V
because the demintor of a quotient can never equal zero
The first set of components of an ordered pair

2. What type of line is a constant function?
horizontal
[0 -+infinity)
in a quotient
no because you cannot have one domain pointing at two y's or ranges

3. What is an identity function?
Cannot be drawn in quizlet
2nd key - x^2 - graph
45 degree angle
Absolute Value - Constant and Standard Quadratic

4. Draw or discuss a constant function
f(x)=x^3
parraelle line
f of g and g of f
Cannot be drawn in quizlet

5. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
[0 -+infinity)
The second set of components of an ordered pair
(-infinity - +infinity)

6. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Absolute Value - Constant and Standard Quadratic
The secant line
Y=x^2 - graph
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

7. Is a standard quadratic function even - odd or neither?
in a quotient
Set the x and y to zero and get the intercepts and then plot the points
horizontal
even

8. Which direction does f(x+c) move
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.
horizontal left
Cannot be drawn in quizlet
zero slope

9. How are functions normally written?
The slope of a line containing two points
As equations
The minimum or maximum points
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.

10. What is the domain and range of a constant function?
[0 -+infinity)
inconsistant
20+.05x=5+.10x x=minutes
(-infinity - +infinity)

11. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
f(x) = x
The opposite coordinates
(-infinity - +infinity)

12. What is a relation?
Y=IxI
x2-x1 because the demonaitor of a quotient can never equal zero
Any set of ordered pairs
f(x+c) and f(x-c)

13. What type of slope do you have when m=? and the line is vertical?
math 4 x - graph
Conditional
Change in y / change in x = rise / run = y2-y1 / x2-x1
undefined slope

14. What type of slope do you have when a line falls left to right and m<0?
negative slope
inconsistant
up
45 degree angle

15. Draw or discuss an increasing function
Cannot be drawn in quizlet
(-infinity - 0]U[0 - +infinity)
f(x2)-f(x1) / x2-x1
math 4 x - graph

16. What is the range of the constant function?
The second set of components of an ordered pair
f(x)=IxI
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The single number y=

17. What is the range of an identity function?
Conditional
Any set of ordered pairs
(-infinity - +infinity)
inconsitent

18. What shape is the standard quadratic function?
odd
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The secant line
parabola

19. What is another way of writing the absolute value function?
Y=IxI
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
1 -2 -3
When does a graph not define y as a function of x?

20. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
(-infinity - +infinity)
same
f(x^1)=f(x^2)

21. What does the absolute value function look like?
Mirror image neg quadrant to that of the positive quandrant
odd
A V
up

22. Standard absolute value - horizontal shift formulas for left and right
(-infinity - +infinity)
The minimum or maximum points
f(x+c) and f(x-c)
Y

23. y=f(cx) what does this formula represent?
Mirror image neg quadrant to that of the positive quandrant
0<c<1 - horizontal stretching
x math 3 graph
f(x)=x^3

24. What is the range for a standard quadratic function?
zero slope
(-infinity - 0]U[0 - +infinity)
Three odd - cube root - identity - standard cubic
The opposite coordinates

25. x=all real numbers is what type of an equation?
Yes - all the domains points to one range
As many as you like
identity
because the demintor of a quotient can never equal zero

26. Two vertical lines side by side are a symbol for what
Equation of a line
parraelle line
Piecewise
(-infinity - +infinity)

27. In an identity function if f(10)=x than what is y?
identity
Y= then enter the number then press graph
Y=10
m

28. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
2nd key - x^2 - graph
The minimum or maximum points
Line ascending to the right gradually

29. 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
x = the original sale price and the formula is x - .40x =$276
x math 3 graph
Conditional

30. What is the formula for to calculate the difference of a quotient function?
Cannot be drawn in quizlet
Absolute Value - Constant and Standard Quadratic
45 degree angle
f(x+h)-f(x)/h h cannot equal zero

31. What type of slope do vertical lines have?
f(x) = x
undefined
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x+h)-f(x)/h h cannot equal zero

32. What are the four steps for solving a linear equation?
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.
As many as you like
horizontal
f(x)=+c and f(x)-c

33. 4(x-7)=4x+28 is what type of an equation?
Square Root
(-infinity - +infinity)
2nd key - x^2 - graph
inconsitent

34. What is the formula for an identity function?
parabola
parraelle line
Piecewise
f(x) = x

35. Of the seven of algebra's common graph's how many are odd?
x math 3 graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Three odd - cube root - identity - standard cubic
identity

36. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
horizontal
The single number y=
inconsitent

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

38. What does linear equation mean?
Equation of a line
The opposite coordinates
identity
postiive slope

39. What equation does every line have? Discuss the variables.
Piecewise
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.
negative inverse
identity

40. What is the domain for the standard cubic function?
horizontal
negative slope
(-infinity - +infinity)
x math 3 graph

41. What is the domain for a standard quadratic function?
(-infinity - +infinity)
inconsitent
2nd key - x^2 - graph
Any set of ordered pairs

42. what is the letter used to represent slope?
same
horizontal
m
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

43. What is the formula for the standard cubic function?
f(x)=x^3
The minimum or maximum points
f(x2)-f(x1) / x2-x1
Approach neg toward x through zero and above positive close to x

44. 4x+5x=8x is what type of an equation?
f(x^1)=f(x^2)
even
The slope of a line containing two points
Conditional

45. 4(x-7)=4x-28 is what type of an equation?
down
(-infinity - +infinity)
Cannot be drawn in quizlet
identity

46. What can we substitute for f(x)?
[0 -+infinity)
As equations
Y
perpendicular line

47. What is the vertical line test?
horizontal
When does a graph not define y as a function of x?
Absolute Value - Constant and Standard Quadratic
(f+g) - (f-g) - (fg) - (f/g) all of x

48. What is the formula for the cube root function?
0<c<1 - horizontal stretching
Cannot be drawn in quizlet
f(x)=3 square root x
[0 -+infinity)

49. Of the seven of algebra's common graph's how many are even?
parabola - up one and right three
Absolute Value - Constant and Standard Quadratic
x math 3 graph
The slope of a line containing two points

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