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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 are the calculator instructions for a square root function?
(-infinity - 0]U[0 - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
2nd key - x^2 - graph
Mirror image neg quadrant to that of the positive quandrant

2. What is an identity function?
negative inverse
45 degree angle
horizontal
As many as you like

3. How do you graph Ax+By+C=0?
(f+g) - (f-g) - (fg) - (f/g) all of x
Set the x and y to zero and get the intercepts and then plot the points
no because you cannot have one domain pointing at two y's or ranges
45 degree angle

4. What type of slope do vertical lines have?
f(x^1)=f(x^2)
down
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
undefined

5. What is the range for a standard quadratic function?
perpendicular line
(-infinity - +infinity)
Cannot be drawn in quizlet
(-infinity - 0]U[0 - +infinity)

6. what is the formula for slope?
45 degree angle
Change in y / change in x = rise / run = y2-y1 / x2-x1
x math 3 graph
negative inverse

7. 4(x-7)=4x+28 is what type of an equation?
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)
inconsitent
Y

8. What is the domain for a standard quadratic function?
(-infinity - +infinity)
even
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y= then enter the number then press graph

9. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
Y
up
x2-x1 because the demonaitor of a quotient can never equal zero

10. What does the standard cubic function look like on a graph?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Mirror image neg quadrant to that of the positive quandrant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
m

11. What type of slope do you have when m=? and the line is vertical?
The secant line
in a quotient
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

12. What is the domain for an absolute value function?
Set the x and y to zero and get the intercepts and then plot the points
because the demintor of a quotient can never equal zero
(-infinity - +infinity)
[0 -+infinity)

13. What points do you use to plot the inverse on a graph?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The opposite coordinates
only one
even

14. What are the steps for solving a word problem?
x math 3 graph
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
(-infinity - +infinity)
only one

15. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
f(x+c) and f(x-c)
Cannot be drawn in quizlet
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
45 degree angle

16. What type of line is a constant function?
(-infinity - 0]U[0 - +infinity)
horizontal
undefined slope
The second set of components of an ordered pair

17. 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
Cannot be drawn in quizlet
Absolute Value - Constant and Standard Quadratic
Three odd - cube root - identity - standard cubic

18. What shape is the standard quadratic function?
(-infinity - +infinity)
Y=IxI
parabola
Yes because two x's or domains can point to one y

19. What is the formula for the standard cubic function?
f(x)=x^3
f(x+c) and f(x-c)
Set the x and y to zero and get the intercepts and then plot the points
same

20. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
in a quotient
f of g and g of f
negative slope

21. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
horizontal
A line passing through two distinct points
function notation

22. What are the algebra of functions?
f(x2)-f(x1) / x2-x1
undefined slope
(f+g) - (f-g) - (fg) - (f/g) all of x
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

23. What is a domain?
horizontal left
[0 -+infinity)
The first set of components of an ordered pair
same

24. Two vertical lines side by side are a symbol for what
same
parraelle line
C>1 - horizontal shrinking
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.

25. What is the slope intercept formula? Define all the variables.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
odd
f(x+h)-f(x)/h h cannot equal zero

26. x=no real numbers is what type of an equation?
horizontal
even
inconsistant
1 -2 -3

27. What does linear equation mean?
1 -2 -3
Equation of a line
20+.05x=5+.10x x=minutes
f(x)=IxI

28. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
inconsistant
(-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

29. What is the standard quadratic function?
[0 -+infinity)
f(x+h)-f(x)/h h cannot equal zero
x^2
even

30. What type of function would you use to calculate the most advantageous cell phone plan?
horizontal
inconsistant
even
Piecewise

31. What type of slope do you have when a line falls left to right and m<0?
no because you cannot have one domain pointing at two y's or ranges
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x^1)=f(x^2)
negative slope

32. A flat line underlining one vertical line is a symbol for
f(x)=+c and f(x)-c
C>1 - horizontal shrinking
(f+g) - (f-g) - (fg) - (f/g) all of x
perpendicular line

33. What does the average rate of change formula solve?
The slope of a line containing two points
odd
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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

34. What is the formula for an identity function?
As many as you like
f(x) = x
The second set of components of an ordered pair
f of g and g of f

35. What is the range for the standard cubic function?
x^2
Line ascending to the right gradually
(-infinity - +infinity)
The secant line

36. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
because the demintor of a quotient can never equal zero
even
2nd key - x^2 - graph

37. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=IxI
x = the original sale price and the formula is x - .40x =$276
f(x)=suare root of x

38. What is the vertex?
inconsitent
The minimum or maximum points
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.
Set the x and y to zero and get the intercepts and then plot the points

39. In an identity function if f(10)=x than what is y?
Y=10
odd
The secant line
Any set of ordered pairs

40. What type of line is a constant function?
horizontal
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
Square Root
horizontal left

41. What is the formula for the square root function?
f(x)=suare root of x
Piecewise
2nd key - x^2 - graph
x is the hours to repair the boat. $1603-532=anwser/63 = x

42. When is the only time (-infinity - +infinity) is not the domain?
Conditional
in a quotient
[0 -+infinity)
x2-x1 because the demonaitor of a quotient can never equal zero

43. What is the domain of a square root function?
As many as you like
(-infinity - +infinity)
[0 -+infinity)
x math 3 graph

44. What type of line is an identity function?
f(x^1)=f(x^2)
down
45 degree angle
same

45. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
f(x)=x^3
The slope of a line containing two points
Cannot be drawn in quizlet

46. 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
(-infinity - +infinity)
A line passing through two distinct points
Mirror image neg quadrant to that of the positive quandrant

47. What is a function?
Any set of ordered pairs
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Cannot be drawn in quizlet
function notation

48. What type of slope do you have when the line is horizontal and m=0?
Any set of ordered pairs
zero 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.
As many as you like

49. x=all real numbers is what type of an equation?
Y=10
identity
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. $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?
C>1 - horizontal shrinking
The secant line
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
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