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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. Which direction does f(x+c) move
The single number y=
f(x)=IxI
horizontal left
down

2. What is the formula for to calculate the difference of a quotient function?
identity
45 degree angle
f(x+h)-f(x)/h h cannot equal zero
x2-x1 because the demonaitor of a quotient can never equal zero

3. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
20+.05x=5+.10x x=minutes
As equations
Cannot be drawn in quizlet

4. What is the range of the cube root function?
undefined slope
Y=b
(-infinity - +infinity)
Y

5. Is the square root function odd - even or neither?
Conditional
neither
Yes - all the domains points to one range
0<c<1 - horizontal stretching

6. What is the range for the standard cubic function?
(-infinity - +infinity)
f(x+h)-f(x)/h h cannot equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
odd

7. What is the domain of the cube root function?
Approach neg toward x through zero and above positive close to x
Set the x and y to zero and get the intercepts and then plot the points
Cannot be drawn in quizlet
(-infinity - +infinity)

8. Is a standard quadratic function even - odd or neither?
(-infinity - +infinity)
even
f(x^1)=f(x^2)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

9. x=no real numbers is what type of an equation?
perpendicular line
inconsistant
identity
Cannot be drawn in quizlet

10. y=f(cx) what does this formula represent?
Y=x - identity function
Absolute Value - Constant and Standard Quadratic
0<c<1 - horizontal stretching
Y=IxI

11. What is a relation?
The second set of components of an ordered pair
Yes - all the domains points to one range
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Any set of ordered pairs

12. Is the standard cubic function odd - even or neither?
Conditional
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
odd
horizontal

13. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
As many as you like
(-infinity - +infinity)
x = the original sale price and the formula is x - .40x =$276
A V

14. What is the point slope formula and when do you use it?
identity
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
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
parraelle line

15. 4x+5x=8x is what type of an equation?
f(x+h)-f(x)/h h cannot equal zero
parabola
Conditional
Yes because two x's or domains can point to one y

16. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
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.
in a quotient
A V

17. What is a constant function?
f(x^1)=f(x^2)
(-infinity - 0]U[0 - +infinity)
The opposite coordinates
f(x2)-f(x1) / x2-x1

18. y=f(cx) - what does this formula represent?
[0 -+infinity)
undefined slope
f(x+c) and f(x-c)
C>1 - horizontal shrinking

19. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
identity
in a quotient

20. What is the domain for an absolute value function?
perpendicular line
The secant line
C>1 - horizontal shrinking
(-infinity - +infinity)

21. Why can h not equal zero in the difference of a quotient function formula?
The minimum or maximum points
because the demintor of a quotient can never equal zero
Line ascending to the right gradually
0<c<1 - horizontal stretching

22. What is the slope of a perpendicular line?
Cannot be drawn in quizlet
negative inverse
Conditional
Absolute Value - Constant and Standard Quadratic

23. 4(x-7)=4x-28 is what type of an equation?
A V
Equation of a line
identity
same

24. What is the range for an absolute value function?
(-infinity - 0]U[0 - +infinity)
because the demintor of a quotient can never equal zero
Line ascending to the right gradually
1 -2 -3

25. Standard absolute value - horizontal shift formulas for left and right
(f+g) - (f-g) - (fg) - (f/g) all of x
1 -2 -3
f(x+c) and f(x-c)
Cannot be drawn in quizlet

26. What type of slope do horizontal lines have?
f(x^1)=f(x^2)
same
perpendicular line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

27. Two vertical lines side by side are a symbol for what
odd
parraelle line
x math 3 graph
45 degree angle

28. What is the formula for the square root function?
Cannot be drawn in quizlet
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
f(x)=suare root of x
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

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

30. What is the vertex?
x^2
even
The minimum or maximum points
x2-x1 because the demonaitor of a quotient can never equal zero

31. What is the domain and range of a constant function?
Y=x - identity function
Y=b
(-infinity - +infinity)
even

32. What is the domain for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
Y= then enter the number then press graph
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)

33. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and what is x?
because the demintor of a quotient can never equal zero
Set the x and y to zero and get the intercepts and then plot the points
Three odd - cube root - identity - standard cubic
x is the hours to repair the boat. $1603-532=anwser/63 = x

34. 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
[0 -+infinity)
f(x)=+c and f(x)-c
Square Root

35. Of the seven of algebra's common graph's how many are neither?
Square Root
Mirror image neg quadrant to that of the positive quandrant
horizontal
f(x+h)-f(x)/h h cannot equal zero

36. What are the calculator instructions for a standard quadratic equation?
(-infinity - +infinity)
negative inverse
(-infinity - +infinity)
Y=x^2 - graph

37. What does the square root function look like on a graph?
As many as you like
As equations
Line ascending to the right gradually
The second set of components of an ordered pair

38. Of the seven of algebra's common graph's how many are even?
f(x)=x^3
Absolute Value - Constant and Standard Quadratic
horizontal
no because you cannot have one domain pointing at two y's or ranges

39. Is an identity function even - odd or neither?
odd
[0 -+infinity)
inconsistant
down

40. $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?
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
f of g and g of f
up
f(x^1)=f(x^2)

41. x= a real number is what type of equation?
Y= then enter the number then press graph
Conditional
identity
negative slope

42. What are the calculator instructions for the standard cubic function?
x math 3 graph
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f of g and g of f
only one

43. What are the four steps for finding the inverse of a function?
2nd key - x^2 - graph
The second set of components of an ordered pair
(f+g) - (f-g) - (fg) - (f/g) all of x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

44. What is the horizontal line formula?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=b
even
C>1 - horizontal shrinking

45. What points do you use to plot the inverse on a graph?
odd
A V
f(x) = x
The opposite coordinates

46. What is the range for a standard quadratic function?
undefined slope
(-infinity - 0]U[0 - +infinity)
Y=IxI
Change in y / change in x = rise / run = y2-y1 / x2-x1

47. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - 0]U[0 - +infinity)
Y
Y=IxI
Yes - all the domains points to one range

48. 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
f(x+c) and f(x-c)
As equations
Change in y / change in x = rise / run = y2-y1 / x2-x1

49. What is the formula for an absolute value function?
f(x)=IxI
Three odd - cube root - identity - standard cubic
The secant line
Y=10

50. 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
4 -6 -9
The secant line
When does a graph not define y as a function of x?