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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 of the constant function?
The single number y=
20+.05x=5+.10x x=minutes
2nd key - x^2 - graph
x=a

2. What are the four steps for solving a linear equation?
horizontal
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.
[0 -+infinity)
down

3. what is a range?
f(x2)-f(x1) / x2-x1
The second set of components of an ordered pair
(-infinity - +infinity)
When does a graph not define y as a function of x?

4. What is the formula for to calculate the difference of a quotient function?
x = the original sale price and the formula is x - .40x =$276
f(x+h)-f(x)/h h cannot equal zero
f(x+c) and f(x-c)
When does a graph not define y as a function of x?

5. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Square Root
Equation of a line
0<c<1 - horizontal stretching

6. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Y=10
f(x)=3 square root x
Cannot be drawn in quizlet

7. What is the vertex?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The minimum or maximum points
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
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.

8. What is the domain of the cube root function?
Cannot be drawn in quizlet
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

9. What is the formula for the square root function?
horizontal left
Y=b
f(x)=suare root of x
same

10. What is the average rate of change formula?
Y=x^2 - graph
Cannot be drawn in quizlet
f(x2)-f(x1) / x2-x1
Y= then enter the number then press graph

11. What is the formula for the standard cubic function?
45 degree angle
f(x)=x^3
Mirror image neg quadrant to that of the positive quandrant
2nd key - x^2 - graph

12. What direction does f(x)-c move in standard absolute value formula?
f(x+c) and f(x-c)
The secant line
Yes - all the domains points to one range
down

13. What are the calculator instructions for the cube root function?
Set the x and y to zero and get the intercepts and then plot the points
f(x)=3 square root x
math 4 x - graph
f(x)=suare root of x

14. In an identity function if f(10)=x than what is y?
Y=10
in a quotient
x is the hours to repair the boat. $1603-532=anwser/63 = x
2nd key - x^2 - graph

15. What is the formula for an absolute value function?
horizontal right
As many as you like
odd
f(x)=IxI

16. What type of line is a constant function?
down
Cannot be drawn in quizlet
horizontal
f(x)=3 square root x

17. What type of function would you use to calculate the most advantageous cell phone plan?
f(x)=+c and f(x)-c
(-infinity - +infinity)
even
Piecewise

18. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
no because you cannot have one domain pointing at two y's or ranges
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)

19. What does the square root function look like on a graph?
Line ascending to the right gradually
(-infinity - 0]U[0 - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Set the x and y to zero and get the intercepts and then plot the points

20. What is the horizontal line formula?
The second set of components of an ordered pair
parabola - up one and right three
Y=b
parraelle line

21. What are two examples of composit functions?
f of g and g of f
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
Y= then enter the number then press graph

22. What is the formula for the cube root function?
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
4 -6 -9
20+.05x=5+.10x x=minutes
f(x)=3 square root x

23. What is the range for the standard cubic function?
Y=10
Any set of ordered pairs
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)

24. What type of slope do vertical lines have?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
undefined
Yes because two x's or domains can point to one y
Conditional

25. What equation does every line have? Discuss the variables.
Conditional
inconsistant
C>1 - horizontal shrinking
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.

26. Draw or discuss an increasing function
Cannot be drawn in quizlet
even
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - 0]U[0 - +infinity)

27. What is the domain of an identity function?
C>1 - horizontal shrinking
Piecewise
parabola
(-infinity - +infinity)

28. What is a domain?
The first set of components of an ordered pair
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+h)-f(x)/h h cannot equal zero
parraelle line

29. What is a function?
undefined
postiive slope
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
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

30. What type of slope do you have when a line falls left to right and m<0?
f(x)=x^3
Piecewise
only one
negative slope

31. What type of slope do you have when a line rises from left to right and m>0?
Y=10
postiive slope
The first set of components of an ordered pair
As many as you like

32. $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?
postiive slope
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
45 degree angle
4 -6 -9

33. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
Y=x^2 - graph
odd
identity

34. What can we substitute for f(x)?
horizontal
As equations
Y
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

35. Standard absolute value - horizontal shift formulas for left and right
x^2
45 degree angle
f(x+c) and f(x-c)
horizontal left

36. What is another way of writing the absolute value function?
up
Any set of ordered pairs
Y=IxI
f(x) = x

37. What does the absolute value function look like?
f(x^1)=f(x^2)
Y=10
horizontal
A V

38. What is the point slope formula and when do you use it?
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-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - 0]U[0 - +infinity)
As equations

39. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
function notation

40. What is slope?
(-infinity - +infinity)
Y=x - identity function
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
A line passing through two distinct points

41. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Y=x^2 - graph
A V
undefined

42. 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?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
up
horizontal left
x is the hours to repair the boat. $1603-532=anwser/63 = x

43. Which direction does f(x+c) move
Any set of ordered pairs
because the demintor of a quotient can never equal zero
horizontal left
Cannot be drawn in quizlet

44. what is the formula for slope?
Equation of a line
Change in y / change in x = rise / run = y2-y1 / x2-x1
The minimum or maximum points
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

45. what can never equal zero in the slope formula and why?
The opposite coordinates
Three odd - cube root - identity - standard cubic
x2-x1 because the demonaitor of a quotient can never equal zero
1 -2 -3

46. Is the square root function odd - even or neither?
neither
x is the hours to repair the boat. $1603-532=anwser/63 = x
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

47. What type of line is an identity function?
horizontal left
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
45 degree angle
Piecewise

48. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
2nd key - x^2 - graph
inconsitent
Yes - all the domains points to one range
parraelle line

49. What is the formula for an identity function?
f(x^1)=f(x^2)
Conditional
(-infinity - +infinity)
f(x) = x

50. What is the slope intercept formula? Define all the variables.
Y=IxI
Cannot be drawn in quizlet
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
x2-x1 because the demonaitor of a quotient can never equal zero