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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. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x)=suare root of x
same
Yes because two x's or domains can point to one y

2. y=f(cx) what does this formula represent?
Yes - all the domains points to one range
0<c<1 - horizontal stretching
even
no because you cannot have one domain pointing at two y's or ranges

3. 4(x-7)=4x-28 is what type of an equation?
Y=10
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f(x)=x^3
identity

4. What does the square root function look like on a graph?
Line ascending to the right gradually
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
perpendicular line

5. What are the four steps for solving a linear equation?
f(x)=+c and f(x)-c
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the 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.
m

6. What is the range for the standard cubic function?
[0 -+infinity)
(-infinity - +infinity)
Cannot be drawn in quizlet
x2-x1 because the demonaitor of a quotient can never equal zero

7. What is the slope intercept formula? Define all the variables.
Y=x - identity function
negative inverse
inconsitent
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

8. What is the standard quadratic function?
x^2
Cannot be drawn in quizlet
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) = x

9. What is the formula for an identity function?
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.
x = the original sale price and the formula is x - .40x =$276
f(x) = x
Line ascending to the right gradually

10. how many domains can you have pointing to one range?
C>1 - horizontal shrinking
x^2
1 -2 -3
As many as you like

11. what can never equal zero in the slope formula and why?
(-infinity - 0]U[0 - +infinity)
f(x)=suare root of x
x2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet

12. What equation does every line have? Discuss the variables.
even
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.
[0 -+infinity)
math 4 x - graph

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

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14. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
negative inverse
4 -6 -9
Yes - all the domains points to one range
Absolute Value - Constant and Standard Quadratic

15. x=no real numbers is what type of an equation?
(-infinity - 0]U[0 - +infinity)
inconsistant
Yes - all the domains points to one range
parabola - up one and right three

16. Standard absolute value - horizontal shift formulas for left and right
(-infinity - +infinity)
f(x+c) and f(x-c)
2nd catalog (zero key -) abs(x) - graph
Cannot be drawn in quizlet

17. Draw or discuss an increasing function
odd
Cannot be drawn in quizlet
Conditional
parabola - up one and right three

18. what is a range?
The second set of components of an ordered pair
x = the original sale price and the formula is x - .40x =$276
odd
[0 -+infinity)

19. What is the slope of a perpendicular line?
1 -2 -3
negative inverse
horizontal left
m

20. Of the seven of algebra's common graph's how many are neither?
Square Root
x is the hours to repair the boat. $1603-532=anwser/63 = x
negative inverse
because the demintor of a quotient can never equal zero

21. What is the formula for the standard cubic function?
up
identity
f(x)=x^3
negative inverse

22. What does the standard cubic function look like on a graph?
Y=b
identity
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Mirror image neg quadrant to that of the positive quandrant

23. What can we substitute for f(x)?
x^2
Y
(-infinity - +infinity)
inconsistant

24. What type of slope do you have when a line falls left to right and m<0?
m
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)
negative slope

25. What does the absolute value function look like?
zero slope
A V
x2-x1 because the demonaitor of a quotient can never equal zero
up

26. 4x+5x=8x is what type of an equation?
A V
x = the original sale price and the formula is x - .40x =$276
Y= then enter the number then press graph
Conditional

27. What is a relation?
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y=IxI
Any set of ordered pairs
f(x+c) and f(x-c)

28. What type of line is a constant function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
horizontal
(-infinity - 0]U[0 - +infinity)
2nd key - x^2 - graph

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

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30. x=all real numbers is what type of an equation?
identity
Change in y / change in x = rise / run = y2-y1 / x2-x1
When does a graph not define y as a function of x?
[0 -+infinity)

31. What type of slope do vertical lines have?
(-infinity - +infinity)
x math 3 graph
f(x2)-f(x1) / x2-x1
undefined

32. What are the calculator instructions for absolute value?
f(x+h)-f(x)/h h cannot equal zero
2nd catalog (zero key -) abs(x) - graph
2nd key - x^2 - graph
Line ascending to the right gradually

33. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
Yes - all the domains points to one range

34. Draw or discuss a constant function
f(x)=3 square root x
f(x)=IxI
Cannot be drawn in quizlet
C>1 - horizontal shrinking

35. What is the domain of a square root function?
Conditional
negative slope
[0 -+infinity)
x = the original sale price and the formula is x - .40x =$276

36. What is the range for a standard quadratic function?
undefined slope
horizontal right
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.
(-infinity - 0]U[0 - +infinity)

37. What type of slope do you have when m=? and the line is vertical?
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
(-infinity - +infinity)
undefined slope
only one

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

39. What is the range of a square root function?
The secant line
x=a
[0 -+infinity)
(-infinity - +infinity)

40. What is the formula in both horizontal stretching and horizontal shrinking?
undefined slope
math 4 x - graph
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
inconsistant

41. What are the calculator instructions for a square root function?
even
no because you cannot have one domain pointing at two y's or ranges
Y=10
2nd key - x^2 - graph

42. what is the letter used to represent slope?
Y=b
m
Change in y / change in x = rise / run = y2-y1 / x2-x1
45 degree angle

43. What is the domain for a standard quadratic function?
f(x)=x^3
(-infinity - +infinity)
undefined slope
neither

44. What type of slope do you have when the line is horizontal and m=0?
zero slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
f of g and g of f
parraelle line

45. Is a standard quadratic function even - odd or neither?
f(x) = x
0<c<1 - horizontal stretching
even
(-infinity - +infinity)

46. What type of line is a constant function?
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
f of g and g of f
horizontal

47. What is the point slope formula and when do you use it?
horizontal
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=IxI
negative slope

48. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
Three odd - cube root - identity - standard cubic
20+.05x=5+.10x x=minutes
because the demintor of a quotient can never equal zero
f(x^1)=f(x^2)

49. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
math 4 x - graph
The opposite coordinates
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

50. What is the vertical line test?
horizontal
(-infinity - +infinity)
When does a graph not define y as a function of x?
The secant line