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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 domain for an absolute value function?
The slope of a line containing two points
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)
f(x)=x^3

2. What is the range for a standard quadratic function?
(-infinity - 0]U[0 - +infinity)
The opposite coordinates
parabola - up one and right three
(-infinity - +infinity)

3. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Cannot be drawn in quizlet
Square Root
1 -2 -3
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

4. What is the vertical line formula?
Yes - all the domains points to one 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
x=a
Y=x^2 - graph

5. What is the range of the constant function?
(-infinity - 0]U[0 - +infinity)
The single number y=
x2-x1 because the demonaitor of a quotient can never equal zero
Carefuly understand let x be one of the unknowns - write expressions for any other unknowns in terms of x - write an equation in x that models the verbal conditions of the problem - solve the equation - check solution in the original wording of the p

6. What is the formula for to calculate the difference of a quotient function?
function notation
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=b
f(x+h)-f(x)/h h cannot equal zero

7. Of the seven of algebra's common graph's how many are even?
undefined slope
Absolute Value - Constant and Standard Quadratic
Line ascending to the right gradually
(-infinity - +infinity)

8. What type of slope do you have when m=? and the line is vertical?
(-infinity - 0]U[0 - +infinity)
undefined slope
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Three odd - cube root - identity - standard cubic

9. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
Y=10
function notation
Equation of a line

10. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
As equations
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.
x = the original sale price and the formula is x - .40x =$276

11. When is the only time (-infinity - +infinity) is not the domain?
Yes - all the domains points to one range
(-infinity - +infinity)
x = the original sale price and the formula is x - .40x =$276
in a quotient

12. how many domains can you have pointing to one range?
Y=10
up
As many as you like
Three odd - cube root - identity - standard cubic

13. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Mirror image neg quadrant to that of the positive quandrant
f(x) = x
parabola

14. What equation does every line have? Discuss the variables.
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet
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.
Piecewise

15. 4x+5x=8x is what type of an equation?
Conditional
Y= then enter the number then press graph
(-infinity - +infinity)
The opposite coordinates

16. What type of slope do vertical lines have?
undefined
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
A line passing through two distinct points
only one

17. What is the range of a square root function?
When does a graph not define y as a function of x?
[0 -+infinity)
f(x)=x^3
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

18. What type of line is a constant function?
[0 -+infinity)
math 4 x - graph
horizontal
negative inverse

19. What is another way of writing the absolute value function?
x2-x1 because the demonaitor of a quotient can never equal zero
horizontal
Y=IxI
The second set of components of an ordered pair

20. Is the square root function odd - even or neither?
The slope of a line containing two points
(f+g) - (f-g) - (fg) - (f/g) all of x
down
neither

21. What can we substitute for f(x)?
Y= then enter the number then press graph
Y
45 degree angle
2nd catalog (zero key -) abs(x) - graph

22. What is the domain of a square root function?
[0 -+infinity)
Piecewise
identity
even

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

24. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
up
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
odd
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

25. Of the seven of algebra's common graph's how many are odd?
Y=b
f of g and g of f
f(x)=3 square root x
Three odd - cube root - identity - standard cubic

26. What is the formula for the cube root function?
f(x)=3 square root x
undefined
horizontal left
Y=IxI

27. What is the slope of a perpendicular line?
horizontal
inconsitent
negative inverse
m

28. What does the square root function look like on a graph?
postiive slope
Y= then enter the number then press graph
Y=IxI
Line ascending to the right gradually

29. 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
Line ascending to the right gradually
Equation of a line
f(x)=IxI

30. what is the letter used to represent slope?
f(x2)-f(x1) / x2-x1
The first set of components of an ordered pair
m
(-infinity - +infinity)

31. what is a range?
(-infinity - +infinity)
The second set of components of an ordered pair
f(x2)-f(x1) / x2-x1
45 degree angle

32. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
parabola
A V
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

33. What is the formula in both horizontal stretching and horizontal shrinking?
horizontal left
(-infinity - +infinity)
postiive slope
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

34. What is the vertical line test?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
parabola - up one and right three
because the demintor of a quotient can never equal zero
When does a graph not define y as a function of x?

35. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
45 degree angle
The minimum or maximum points
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x) = x

36. What is another way to write f(x)=x - what type of function is this?
Approach neg toward x through zero and above positive close to x
The opposite coordinates
Y=x - identity function
x2-x1 because the demonaitor of a quotient can never equal zero

37. What does the average rate of change formula solve?
[0 -+infinity)
The slope of a line containing two points
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant

38. What type of line is a constant function?
horizontal
Cannot be drawn in quizlet
even
Absolute Value - Constant and Standard Quadratic

39. x= a real number is what type of equation?
Conditional
f(x)=3 square root x
Piecewise
The secant line

40. What is the average rate of change formula?
The secant line
A V
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
f(x2)-f(x1) / x2-x1

41. 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
zero 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
Yes - all the domains points to one range

42. What is the formula for the square root function?
f(x)=suare root of x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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.
Y=x - identity function

43. In an identity function if f(10)=x than what is y?
As many as you like
Y=10
horizontal
2nd key - x^2 - graph

44. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
The single number y=
4 -6 -9
negative inverse
identity

45. What does linear equation mean?
Yes because two x's or domains can point to one y
inconsistant
Change in y / change in x = rise / run = y2-y1 / x2-x1
Equation of a line

46. What are the calculator instructions for a standard quadratic equation?
The second set of components of an ordered pair
The opposite coordinates
Y=x^2 - graph
Y= then enter the number then press graph

47. What is the range of the cube root function?
Y
horizontal right
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)

48. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
inconsistant
(-infinity - +infinity)
identity

49. What is the formula for an absolute value function?
x=a
f(x)=IxI
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.
(-infinity - +infinity)

50. A flat line underlining one vertical line is a symbol for
0<c<1 - horizontal stretching
f(x2)-f(x1) / x2-x1
perpendicular line
Approach neg toward x through zero and above positive close to x