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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 a square root function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
4 -6 -9
[0 -+infinity)
As equations

2. what is a range?
inconsitent
Change in y / change in x = rise / run = y2-y1 / x2-x1
horizontal left
The second set of components of an ordered pair

3. What is another way to write f(x)=x - what type of function is this?
undefined
As many as you like
Y=x - identity function
postiive slope

4. Draw or discuss an increasing function
f(x)=IxI
Cannot be drawn in quizlet
only one
because the demintor of a quotient can never equal zero

5. When is the only time (-infinity - +infinity) is not the domain?
Y= then enter the number then press graph
horizontal left
in a quotient
The secant line

6. What is the average rate of change formula?
horizontal right
f(x2)-f(x1) / x2-x1
f(x)=IxI
neither

7. Is a standard quadratic function even - odd or neither?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Equation of a line
even
The opposite coordinates

8. What are the four steps for solving a linear equation?
(-infinity - +infinity)
Yes because two x's or domains can point to one y
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
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.

9. What is the range of the cube root function?
inconsistant
f(x+h)-f(x)/h h cannot equal zero
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)

10. What is a constant function?
function notation
20+.05x=5+.10x x=minutes
The single number y=
f(x^1)=f(x^2)

11. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
parabola
45 degree angle
A V

12. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
Y=x - identity function
function notation
45 degree angle

13. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
x math 3 graph
horizontal left
1 -2 -3
neither

14. What type of line is an identity function?
(-infinity - +infinity)
0<c<1 - horizontal stretching
Y=x^2 - graph
45 degree angle

15. What is the horizontal line formula?
horizontal right
f(x^1)=f(x^2)
Y=b
zero slope

16. What does the absolute value function look like?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
A V
Line ascending to the right gradually
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

17. In an identity function if f(10)=x than what is y?
The secant line
Approach neg toward x through zero and above positive close to x
same
Y=10

18. What does the average rate of change formula solve?
(-infinity - +infinity)
When does a graph not define y as a function of x?
The slope of a line containing two points
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

19. What type of slope do you have when the line is horizontal and m=0?
zero slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
even
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.

20. Which direction does f(x+c) move
identity
horizontal left
45 degree angle
The second set of components of an ordered pair

21. What is the vertical line formula?
(-infinity - +infinity)
(-infinity - +infinity)
same
x=a

22. What is the range of the constant function?
The slope of a line containing two points
The single number y=
negative slope
[0 -+infinity)

23. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Approach neg toward x through zero and above positive close to x
no because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)

24. What type of slope do horizontal lines have?
Cannot be drawn in quizlet
f(x)=x^3
same
(-infinity - +infinity)

25. Is an absolute value function even - odd or neither?
even
The opposite coordinates
perpendicular line
x2-x1 because the demonaitor of a quotient can never equal zero

26. What are the calculator instructions for the standard cubic function?
Yes because two x's or domains can point to one y
Piecewise
x math 3 graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

27. What can we substitute for f(x)?
f(x) = x
same
Y
because the demintor of a quotient can never equal zero

28. What type of slope do you have when m=? and the line is vertical?
parabola - up one and right three
The first set of components of an ordered pair
Change in y / change in x = rise / run = y2-y1 / x2-x1
undefined slope

29. $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
Y
undefined 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.

30. What equation does every line have? Discuss the variables.
x = the original sale price and the formula is x - .40x =$276
Y=10
(-infinity - 0]U[0 - +infinity)
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.

31. What is another way of writing the absolute value function?
Yes because two x's or domains can point to one y
(-infinity - +infinity)
Y=IxI
identity

32. 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?
x is the hours to repair the boat. $1603-532=anwser/63 = x
math 4 x - graph
odd
Y= then enter the number then press graph

33. What is the vertex?
Mirror image neg quadrant to that of the positive quandrant
The minimum or maximum points
Any set of ordered pairs
x = the original sale price and the formula is x - .40x =$276

34. x=all real numbers is what type of an equation?
identity
because the demintor of a quotient can never equal zero
function notation
math 4 x - graph

35. What direction does f(x)-c move in standard absolute value formula?
Conditional
Y
down
up

36. what can never equal zero in the slope formula and why?
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
even
x2-x1 because the demonaitor of a quotient can never equal zero
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

37. What is the domain of an identity function?
f(x^1)=f(x^2)
x=a
The opposite coordinates
(-infinity - +infinity)

38. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
horizontal left
[0 -+infinity)

39. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
because the demintor of a quotient can never equal zero
f(x)=IxI
Cannot be drawn in quizlet

40. What points do you use to plot the inverse on a graph?
Cannot be drawn in quizlet
parraelle line
The opposite coordinates
Y=b

41. Of the seven of algebra's common graph's how many are even?
Y=IxI
Y=x^2 - graph
Absolute Value - Constant and Standard Quadratic
f(x)=suare root of x

42. What is the standard quadratic function?
inconsitent
postiive slope
x^2
Y=x - identity function

43. What is the formula for an absolute value 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.
The slope of a line containing two points
f(x)=IxI
even

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

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45. Is the square root function odd - even or neither?
neither
Conditional
f(x)=x^3
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

46. What type of slope do you have when a line rises from left to right and m>0?
undefined
horizontal
postiive slope
neither

47. What type of slope do vertical lines have?
Yes - all the domains points to one range
undefined
horizontal
Y= then enter the number then press graph

48. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
When does a graph not define y as a function of x?
parabola - up one and right three
Cannot be drawn in quizlet
4 -6 -9

49. A flat line underlining one vertical line is a symbol for
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
(-infinity - +infinity)
perpendicular line
in a quotient

50. What is the formula for the standard cubic function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The opposite coordinates
f(x)=x^3
f(x+c) and f(x-c)