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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 letter used to represent slope?
0<c<1 - horizontal stretching
m
f(x2)-f(x1) / x2-x1
Cannot be drawn in quizlet

2. Of the seven of algebra's common graph's how many are neither?
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
Square Root

3. What does the square root function look like on a graph?
Y=IxI
[0 -+infinity)
Line ascending to the right gradually
parabola

4. What type of slope do you have when a line falls left to right and m<0?
2nd key - x^2 - graph
negative slope
Approach neg toward x through zero and above positive close to x
only one

5. What does the average rate of change formula solve?
45 degree angle
The slope of a line containing two points
Yes - all the domains points to one range
f(x)=IxI

6. What equation does every line have? Discuss the variables.
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.
When does a graph not define y as a function of x?
0<c<1 - horizontal stretching
(-infinity - +infinity)

7. A flat line underlining one vertical line is a symbol for
negative slope
45 degree angle
perpendicular line
inconsitent

8. y=f(cx) what does this formula represent?
The secant line
Conditional
0<c<1 - horizontal stretching
The minimum or maximum points

9. What is the formula for an absolute value function?
Piecewise
(f+g) - (f-g) - (fg) - (f/g) all of x
x^2
f(x)=IxI

10. Which direction does f(x)=+c move in standard absolute value formula?
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
f(x)=x^3
up
even

11. What is a function?
Yes - all the domains points to one range
The first set of components of an ordered pair
A line passing through two distinct points
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

12. What type of line is a constant function?
horizontal
f(x)=suare root of x
(-infinity - 0]U[0 - +infinity)
45 degree angle

13. What is a relation?
20+.05x=5+.10x x=minutes
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
no because you cannot have one domain pointing at two y's or ranges

14. Standard absolute value - horizontal shift formulas for left and right
(-infinity - +infinity)
identity
horizontal
f(x+c) and f(x-c)

15. What is the formula for the square root function?
Y=x - identity function
Piecewise
f(x)=suare root of x
(-infinity - +infinity)

16. Is a constant function even - odd or neither?
(-infinity - +infinity)
even
odd
same

17. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
45 degree angle
horizontal left
inconsistant

18. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
parabola - up one and right three
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=a
f(x^1)=f(x^2)

19. Two vertical lines side by side are a symbol for what
parraelle line
The minimum or maximum points
horizontal right
The opposite coordinates

20. What is the standard quadratic function?
As equations
negative inverse
Equation of a line
x^2

21. What are the calculator instructions for the cube root function?
Any set of ordered pairs
The slope of a line containing two points
math 4 x - graph
Change in y / change in x = rise / run = y2-y1 / x2-x1

22. Is a standard quadratic function even - odd or neither?
The secant line
even
The single number y=
2nd key - x^2 - graph

23. What is the slope of a perpendicular line?
The minimum or maximum points
The single number y=
f(x)=IxI
negative inverse

24. Which direction does f(x-c) move
only one
horizontal right
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Piecewise

25. What is the formula for the standard cubic function?
Set the x and y to zero and get the intercepts and then plot the points
Any set of ordered pairs
(-infinity - +infinity)
f(x)=x^3

26. Is an identity function even - odd or neither?
(-infinity - +infinity)
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
x2-x1 because the demonaitor of a quotient can never equal zero
odd

27. x=all real numbers is what type of an equation?
45 degree angle
inconsitent
identity
x^2

28. What points do you use to plot the inverse on a graph?
f(x)=suare root of x
negative 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
The opposite coordinates

29. What is the formula for the cube root function?
(-infinity - +infinity)
f(x)=3 square root x
Approach neg toward x through zero and above positive close to x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

30. What is the domain of an identity function?
(-infinity - +infinity)
Cannot be drawn in quizlet
parraelle line
f(x)=3 square root x

31. What is the formula in both horizontal stretching and horizontal shrinking?
A line passing through two distinct points
f(x)=+c and f(x)-c
because the demintor 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

32. What is the range of a square root 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.
A V
[0 -+infinity)
Three odd - cube root - identity - standard cubic

33. What type of line is a constant function?
The slope of a line containing two points
horizontal
x is the hours to repair the boat. $1603-532=anwser/63 = x
Line ascending to the right gradually

34. y=f(cx) - what does this formula represent?
0<c<1 - horizontal stretching
Line ascending to the right gradually
Cannot be drawn in quizlet
C>1 - horizontal shrinking

35. What type of slope do horizontal lines have?
same
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
because the demintor of a quotient can never equal zero
negative inverse

36. Is the standard cubic function odd - even or neither?
C>1 - horizontal shrinking
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.
odd

37. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
A V
even
function notation

38. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
(-infinity - 0]U[0 - +infinity)
45 degree angle
As equations

39. What is a constant function?
The secant line
f(x^1)=f(x^2)
(-infinity - +infinity)
C>1 - horizontal shrinking

40. what can never equal zero in the slope formula and why?
even
horizontal left
x2-x1 because the demonaitor of a quotient can never equal zero
x math 3 graph

41. 4(x-7)=4x-28 is what type of an equation?
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.
math 4 x - graph
even
identity

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?
f(x^1)=f(x^2)
Cannot be drawn in quizlet
x is the hours to repair the boat. $1603-532=anwser/63 = x
inconsistant

43. 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
x2-x1 because the demonaitor of a quotient can never equal zero
identity
Cannot be drawn in quizlet

44. What type of slope do you have when the line is horizontal and m=0?
zero slope
inconsistant
function notation
The single number y=

45. What is another way to write f(x)=x - what type of function is this?
identity
Y=x - identity function
(-infinity - 0]U[0 - +infinity)
The opposite coordinates

46. How do you graph Ax+By+C=0?
Piecewise
f(x)=suare root of x
Set the x and y to zero and get the intercepts and then plot the points
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

47. $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?
f(x2)-f(x1) / x2-x1
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 because two x's or domains can point to one y
f(x+c) and f(x-c)

48. Of the seven of algebra's common graph's how many are odd?
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
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.
(-infinity - +infinity)

49. What is the formula for to calculate the difference of a quotient function?
f(x+h)-f(x)/h h cannot equal zero
Any set of ordered pairs
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)

50. What are the calculator instructions for absolute value?
(-infinity - +infinity)
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
[0 -+infinity)
2nd catalog (zero key -) abs(x) - graph