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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 can we substitute for f(x)?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
odd
Y
f(x) = x

2. What is the range of an identity function?
zero slope
(-infinity - +infinity)
f(x)=x^3
identity

3. What does the absolute value function look like?
A V
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - 0]U[0 - +infinity)
Set the x and y to zero and get the intercepts and then plot the points

4. What is the slope of a perpendicular line?
Mirror image neg quadrant to that of the positive quandrant
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
C>1 - horizontal shrinking
negative inverse

5. what is a range?
zero slope
The second set of components of an ordered pair
A V
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.

6. x=all real numbers is what type of an equation?
(-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
identity
Yes - all the domains points to one range

7. What is the point slope formula and when do you use it?
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^2
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
m

8. Draw or discuss a constant function
C>1 - horizontal shrinking
Cannot be drawn in quizlet
(-infinity - +infinity)
neither

9. Of the seven of algebra's common graph's how many are neither?
Square Root
Equation of a line
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Cannot be drawn in quizlet

10. how many ranges can you have for each domain?
f(x)=x^3
even
only one
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

11. $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?
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
negative inverse
A V
(f+g) - (f-g) - (fg) - (f/g) all of x

12. What is a relation?
Any set of ordered pairs
math 4 x - graph
Y=x^2 - graph
The opposite coordinates

13. Standard absolute value - horizontal shift formulas for left and right
(-infinity - 0]U[0 - +infinity)
f(x+c) and f(x-c)
Conditional
f of g and g of f

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

15. What type of line is a constant function?
horizontal
Equation of a line
Y=x^2 - graph
(-infinity - +infinity)

16. What is the domain for an absolute value function?
(-infinity - +infinity)
identity
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The single number y=

17. Is an absolute value function even - odd or neither?
even
Approach neg toward x through zero and above positive close to x
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
Change in y / change in x = rise / run = y2-y1 / x2-x1

18. What is another way to write f(x)=x - what type of function is this?
Y
m
The secant line
Y=x - identity function

19. What is the domain of an identity function?
Any set of ordered pairs
Approach neg toward x through zero and above positive close to x
parraelle line
(-infinity - +infinity)

20. What is the slope intercept formula? Define all the variables.
f(x^1)=f(x^2)
neither
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

21. What type of function would you use to calculate the most advantageous cell phone plan?
(-infinity - +infinity)
Piecewise
(-infinity - +infinity)
because the demintor of a quotient can never equal zero

22. What is the domain and range of a constant function?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
only one
Y=x - identity function

23. What is the formula for the cube root function?
Square Root
Any set of ordered pairs
f(x)=3 square root x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

24. 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
horizontal left
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
inconsitent

25. What is the formula for an absolute value function?
f(x)=IxI
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
The second set of components of an ordered pair

26. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Mirror image neg quadrant to that of the positive quandrant
negative inverse
(-infinity - +infinity)

27. What are the calculator instructions for the cube root function?
undefined
math 4 x - graph
Y= then enter the number then press graph
Conditional

28. What is the domain of the cube root function?
same
(-infinity - +infinity)
Equation of a line
As many as you like

29. What is the range of a square root function?
[0 -+infinity)
Square Root
The secant line
f(x)=+c and f(x)-c

30. What are the four steps for finding the inverse of a function?
negative slope
The slope of a line containing two points
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
parabola - up one and right three

31. Draw or discuss a decreasing function
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
Cannot be drawn in quizlet

32. What type of slope do you have when the line is horizontal and m=0?
A V
parabola - up one and right three
f(x+c) and f(x-c)
zero slope

33. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
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)
zero slope

34. What does the square root function look like on a graph?
Line ascending to the right gradually
As many as you like
identity
Y=b

35. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
(-infinity - +infinity)
identity
odd

36. What is slope?
1 -2 -3
even
A line passing through two distinct points
Any set of ordered pairs

37. How do you calculate a constant function in your calculator?
f(x+h)-f(x)/h h cannot equal zero
x = the original sale price and the formula is x - .40x =$276
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y= then enter the number then press graph

38. What is the formula for the square root function?
perpendicular line
Three odd - cube root - identity - standard cubic
f(x)=suare root of x
The second set of components of an ordered pair

39. What is the formula for the standard cubic function?
odd
f of g and g of f
m
f(x)=x^3

40. Why can h not equal zero in the difference of a quotient function formula?
because the demintor of a quotient can never equal zero
f(x)=suare root of x
inconsistant
4 -6 -9

41. What are two examples of composit functions?
x = the original sale price and the formula is x - .40x =$276
f of g and g of f
Y= then enter the number then press graph
Y=x - identity function

42. Draw or discuss an increasing function
Cannot be drawn in quizlet
Piecewise
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - 0]U[0 - +infinity)

43. What does linear equation mean?
Yes because two x's or domains can point to one y
horizontal
0<c<1 - horizontal stretching
Equation of a line

44. Is a standard quadratic function even - odd or neither?
identity
parabola
even
x math 3 graph

45. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
f of g and g of f
2nd key - x^2 - graph
The opposite coordinates
1 -2 -3

46. What does the average rate of change formula solve?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Square Root
The slope of a line containing two points
x = the original sale price and the formula is x - .40x =$276

47. What is an identity function?
45 degree angle
(f+g) - (f-g) - (fg) - (f/g) all of x
A V
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

48. 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
inconsitent
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.
f(x) = x

49. Two vertical lines side by side are a symbol for what
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
parraelle line
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

50. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
(-infinity - +infinity)
As equations
The minimum or maximum points