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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 a range?
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=b
2nd key - x^2 - graph
The second set of components of an ordered pair

2. 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?
(-infinity - +infinity)
f(x) = x
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.

3. What is a constant function?
f(x^1)=f(x^2)
Yes - all the domains points to one range
(-infinity - +infinity)
Y=x - identity function

4. What direction does f(x)-c move in standard absolute value formula?
Any set of ordered pairs
down
Mirror image neg quadrant to that of the positive quandrant
even

5. 4x+5x=8x is what type of an equation?
f of g and g of f
Approach neg toward x through zero and above positive close to x
horizontal right
Conditional

6. Is an absolute value function even - odd or neither?
The first set of components of an ordered pair
4 -6 -9
even
2nd key - x^2 - graph

7. Draw or discuss an increasing function
horizontal
Line ascending to the right gradually
Cannot be drawn in quizlet
because the demintor of a quotient can never equal zero

8. What does linear equation mean?
horizontal left
Approach neg toward x through zero and above positive close to x
Equation of a line
The opposite coordinates

9. What are the calculator instructions for a square root function?
f(x)=suare root of x
Piecewise
Y=b
2nd key - x^2 - graph

10. What is the range for the standard cubic function?
Approach neg toward x through zero and above positive close to x
Y
f(x)=+c and f(x)-c
(-infinity - +infinity)

11. Is a constant function even - odd or neither?
20+.05x=5+.10x x=minutes
zero slope
even
2nd key - x^2 - graph

12. What is a function?
[0 -+infinity)
x2-x1 because the demonaitor of a quotient can never equal zero
When does a graph not define y as a function of x?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

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

14. What does the standard cubic function look like on a graph?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Mirror image neg quadrant to that of the positive quandrant
Conditional
[0 -+infinity)

15. Which direction does f(x+c) move
only one
horizontal left
f(x2)-f(x1) / x2-x1
(-infinity - 0]U[0 - +infinity)

16. When is the only time (-infinity - +infinity) is not the domain?
1 -2 -3
f(x)=+c and f(x)-c
Change in y / change in x = rise / run = y2-y1 / x2-x1
in a quotient

17. Which direction does f(x)=+c move in standard absolute value formula?
perpendicular line
Cannot be drawn in quizlet
negative inverse
up

18. What is the average rate of change formula?
f(x)=x^3
The first set of components of an ordered pair
x2-x1 because the demonaitor of a quotient can never equal zero
f(x2)-f(x1) / x2-x1

19. x=all real numbers is what type of an equation?
only one
Y= then enter the number then press graph
Equation of a line
identity

20. f(x) = x^2+3x+5 - what type of formula is this?
only one
Square Root
function notation
Y= then enter the number then press graph

21. y=f(cx) - what does this formula represent?
odd
C>1 - horizontal shrinking
Piecewise
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.

22. What is the slope intercept formula? Define all the variables.
Cannot be drawn in quizlet
As many as you like
Y=x^2 - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

23. What is the vertical line test?
Piecewise
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
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
When does a graph not define y as a function of x?

24. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
horizontal
f(x2)-f(x1) / x2-x1
Line ascending to the right gradually

25. What are the four steps for finding the inverse of a function?
function notation
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
C>1 - horizontal shrinking

26. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
horizontal
The minimum or maximum points

27. x=no real numbers is what type of an equation?
Yes because two x's or domains can point to one y
inconsistant
The minimum or maximum points
postiive slope

28. What is the horizontal line formula?
f of g and g of f
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
Y=b
(-infinity - 0]U[0 - +infinity)

29. What is the domain of a square root function?
Conditional
[0 -+infinity)
up
(-infinity - +infinity)

30. What are the calculator instructions for a standard quadratic equation?
Yes because two x's or domains can point to one y
Y=x^2 - graph
When does a graph not define y as a function of x?
perpendicular line

31. What is the standard quadratic function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
x^2
parabola
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

32. What is an identity function?
(-infinity - +infinity)
(-infinity - +infinity)
The second set of components of an ordered pair
45 degree angle

33. what is the letter used to represent slope?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
2nd catalog (zero key -) abs(x) - graph
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.
m

34. How do you calculate a constant function in your calculator?
[0 -+infinity)
The secant line
Y= then enter the number then press graph
horizontal

35. What type of slope do vertical lines have?
undefined
inconsitent
C>1 - horizontal shrinking
perpendicular line

36. how many domains can you have pointing to one range?
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The second set of components of an ordered pair
As many as you like

37. 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
odd
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Conditional

38. 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
f(x)=3 square root x
The slope of a line containing two points
Cannot be drawn in quizlet

39. What type of line is a constant function?
f(x)=suare root of x
Conditional
horizontal
f(x)=x^3

40. What type of slope do you have when m=? and the line is vertical?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
undefined slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
[0 -+infinity)

41. what is the formula for slope?
Conditional
Y=x - identity function
(f+g) - (f-g) - (fg) - (f/g) all of x
Change in y / change in x = rise / run = y2-y1 / x2-x1

42. how many ranges can you have for each domain?
down
only one
f(x) = x
horizontal

43. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
(-infinity - 0]U[0 - +infinity)
The secant line
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
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

44. What is a relation?
Any set of ordered pairs
math 4 x - graph
Y= then enter the number then press graph
horizontal

45. What is the vertical line formula?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
identity
up
x=a

46. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
45 degree angle
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
horizontal right
4 -6 -9

47. What is a domain?
perpendicular line
[0 -+infinity)
The first set of components of an ordered pair
even

48. What are the calculator instructions for the standard cubic function?
x math 3 graph
Line ascending to the right gradually
in a quotient
When does a graph not define y as a function of x?

49. What is the slope of a perpendicular line?
negative inverse
Change in y / change in x = rise / run = y2-y1 / x2-x1
Absolute Value - Constant and Standard Quadratic
Y=x^2 - graph

50. What are the calculator instructions for the cube root function?
postiive slope
math 4 x - graph
odd
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.