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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. Two vertical lines side by side are a symbol for what
parraelle line
As many as you like
x2-x1 because the demonaitor of a quotient can never equal zero
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.

2. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The secant line
f(x2)-f(x1) / x2-x1
in a quotient

3. Is the standard cubic function odd - even or neither?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
odd
(-infinity - +infinity)
The slope of a line containing two points

4. y=f(cx) what does this formula represent?
45 degree angle
f of g and g of f
0<c<1 - horizontal stretching
1 -2 -3

5. x=no real numbers is what type of an equation?
The single number y=
undefined slope
inconsistant
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

6. Standard absolute value - vertical shift formulas for positve and negative
Y= then enter the number then press graph
f(x)=+c and f(x)-c
even
(-infinity - +infinity)

7. What are the calculator instructions for the standard cubic function?
odd
Three odd - cube root - identity - standard cubic
x math 3 graph
neither

8. What type of line is a constant function?
horizontal
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
Change in y / change in x = rise / run = y2-y1 / x2-x1
The slope of a line containing two points

9. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Y=IxI
Yes - all the domains points to one range
even
horizontal right

10. what is a range?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Conditional
f(x) = x
The second set of components of an ordered pair

11. What is the average rate of change formula?
perpendicular line
f(x2)-f(x1) / x2-x1
only one
even

12. What are the calculator instructions for a square 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
2nd key - x^2 - graph
only one
(-infinity - +infinity)

13. What is the vertical line test?
Set the x and y to zero and get the intercepts and then plot the points
1 -2 -3
When does a graph not define y as a function of x?
identity

14. how many ranges can you have for each domain?
only one
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
parabola

15. what can never equal zero in the slope formula and why?
Equation of a line
horizontal left
x2-x1 because the demonaitor of a quotient can never equal zero
0<c<1 - horizontal stretching

16. What is the vertex?
The minimum or maximum points
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)

17. What does the absolute value function look like?
f(x^1)=f(x^2)
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
A V
parabola

18. What is slope?
A line passing through two distinct points
The secant line
same
x is the hours to repair the boat. $1603-532=anwser/63 = x

19. What are the steps for solving a word problem?
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
f(x+h)-f(x)/h h cannot equal zero
The opposite coordinates
postiive slope

20. Of the seven of algebra's common graph's how many are odd?
C>1 - horizontal shrinking
parabola - up one and right three
Three odd - cube root - identity - standard cubic
The slope of a line containing two points

21. 4(x-7)=4x-28 is what type of an equation?
2nd catalog (zero key -) abs(x) - graph
identity
Piecewise
x is the hours to repair the boat. $1603-532=anwser/63 = x

22. How do you graph Ax+By+C=0?
Line ascending to the right gradually
(-infinity - 0]U[0 - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
Cannot be drawn in quizlet

23. What is the range of a square root function?
1 -2 -3
2nd key - x^2 - graph
Approach neg toward x through zero and above positive close to x
[0 -+infinity)

24. What is the range of the cube root function?
(-infinity - +infinity)
f(x^1)=f(x^2)
The minimum or maximum points
Conditional

25. A flat line underlining one vertical line is a symbol for
x^2
identity
Yes - all the domains points to one range
perpendicular line

26. What is the formula for to calculate the difference of a quotient function?
Cannot be drawn in quizlet
f(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
f(x)=IxI

27. What is the domain of a square root function?
Mirror image neg quadrant to that of the positive quandrant
m
[0 -+infinity)
horizontal

28. What is the range for a standard quadratic function?
x^2
(-infinity - 0]U[0 - +infinity)
Square Root
Absolute Value - Constant and Standard Quadratic

29. What is the domain and range of a constant function?
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
only one
Line ascending to the right gradually

30. What are the four steps for solving a linear 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.
x is the hours to repair the boat. $1603-532=anwser/63 = x
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)

31. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
same
undefined slope
(-infinity - +infinity)
20+.05x=5+.10x x=minutes

32. Is a constant function even - odd or neither?
even
negative inverse
f(x)=IxI
Absolute Value - Constant and Standard Quadratic

33. What is the range for the standard cubic function?
(-infinity - +infinity)
A line passing through two distinct points
identity
Conditional

34. What type of slope do vertical lines have?
f(x+c) and f(x-c)
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
undefined

35. What is a function?
(-infinity - +infinity)
C>1 - horizontal shrinking
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

36. What is a domain?
Y
The first set of components of an ordered pair
in a quotient
A line passing through two distinct points

37. What type of slope do you have when the line is horizontal and m=0?
zero slope
[0 -+infinity)
Square Root
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

38. Is the square root function odd - even or neither?
neither
45 degree angle
even
negative slope

39. What is the range of an identity function?
no because you cannot have one domain pointing at two y's or ranges
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
zero slope
(-infinity - +infinity)

40. What is the domain of the cube root function?
Approach neg toward x through zero and above positive close to x
f(x)=IxI
(-infinity - +infinity)
The secant line

41. Draw or discuss a constant function
2nd catalog (zero key -) abs(x) - graph
As many as you like
The opposite coordinates
Cannot be drawn in quizlet

42. What does the standard cubic function look like on a graph?
(-infinity - +infinity)
Cannot be drawn in quizlet
The second set of components of an ordered pair
Mirror image neg quadrant to that of the positive quandrant

43. What is the formula for the standard cubic function?
As many as you like
[0 -+infinity)
f(x)=x^3
undefined slope

44. How would this formula move f(x)=(x+1)^2-3
Absolute Value - Constant and Standard Quadratic
f(x)=IxI
parabola - up one and right three
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

45. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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 first set of components of an ordered pair
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
parabola

46. Of the seven of algebra's common graph's how many are neither?
x math 3 graph
in a quotient
x^2
Square Root

47. Is an absolute value function even - odd or neither?
inconsitent
(-infinity - +infinity)
even
Three odd - cube root - identity - standard cubic

48. What type of slope do you have when a line rises from left to right and m>0?
f(x+h)-f(x)/h h cannot equal zero
undefined slope
in a quotient
postiive slope

49. Is an identity function even - odd or neither?
2nd key - x^2 - graph
postiive slope
f(x^1)=f(x^2)
odd

50. What is the line called that illustrates the straight line between the two points when showing average rate of change?
because the demintor of a quotient can never equal zero
The slope of a line containing two points
The secant line
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.