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CLEP College Algebra: Functions

Instructions:

Answer 50 questions in 20 minutes. 1 minute extra for reading the instructions.
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. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
The single number y=
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=b

2. What type of slope do vertical lines have?
undefined
(-infinity - 0]U[0 - +infinity)
only one
A line passing through two distinct points

3. What is the range for an absolute value function?
The slope of a line containing two points
(-infinity - 0]U[0 - +infinity)
The secant line
negative inverse

4. What is the domain for the standard cubic function?
identity
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
Y=x^2 - graph

5. What type of slope do you have when a line rises from left to right and m>0?
perpendicular line
The slope of a line containing two points
(-infinity - +infinity)
postiive slope

6. In an identity function if f(10)=x than what is y?
horizontal
Y=10
The slope of a line containing two points
2nd key - x^2 - graph

7. What is the domain of a square root function?
45 degree angle
[0 -+infinity)
f(x)=+c and f(x)-c
even

8. Is the standard cubic function odd - even or neither?
Y=x - identity function
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
odd

9. Which direction does f(x+c) move
f(x+h)-f(x)/h h cannot equal zero
2nd catalog (zero key -) abs(x) - graph
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
horizontal left

10. Is a standard quadratic function even - odd or neither?
only one
even
f(x)=x^3
4 -6 -9

11. Is an identity function even - odd or neither?
even
odd
45 degree angle
C>1 - horizontal shrinking

12. What is the horizontal line formula?
odd
The second set of components of an ordered pair
Y=b
(-infinity - 0]U[0 - +infinity)

13. What type of slope do you have when the line is horizontal and m=0?
zero slope
20+.05x=5+.10x x=minutes
C>1 - horizontal shrinking
x = the original sale price and the formula is x - .40x =$276

14. Is the square root function odd - even or neither?
Three odd - cube root - identity - standard cubic
Set the x and y to zero and get the intercepts and then plot the points
The second set of components of an ordered pair
neither

15. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
The opposite coordinates
parraelle line
even

16. 4(x-7)=4x+28 is what type of an equation?
undefined slope
inconsitent
f(x)=suare root of x
negative inverse

17. x= a real number is what type of equation?
f(x)=x^3
Conditional
Yes because two x's or domains can point to one y
Yes - all the domains points to one range

18. What are the algebra of functions?
f(x)=IxI
horizontal
Cannot be drawn in quizlet
(f+g) - (f-g) - (fg) - (f/g) all of x

19. What are the four steps for finding the inverse of a function?
inconsistant
Conditional
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
undefined

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

21. what can never equal zero in the slope formula and why?
x2-x1 because the demonaitor of a quotient can never equal zero
45 degree angle
zero slope
x is the hours to repair the boat. $1603-532=anwser/63 = x

22. What are the four steps for solving a linear equation?
x math 3 graph
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 = the original sale price and the formula is x - .40x =$276
inconsitent

23. what is a range?
f(x)=IxI
The secant line
horizontal
The second set of components of an ordered pair

24. What is the formula for an identity function?
f(x) = x
Y= then enter the number then press graph
in a quotient
The single number y=

25. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
(-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
Mirror image neg quadrant to that of the positive quandrant

26. What are two examples of composit functions?
(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
(-infinity - +infinity)
f of g and g of f

27. What does the graph of the cube root function look like on the graph?
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
even
horizontal

28. y=f(cx) what does this formula represent?
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x)=3 square root x
Yes - all the domains points to one range
0<c<1 - horizontal stretching

29. What does the absolute value function look like?
1 -2 -3
math 4 x - graph
in a quotient
A V

30. What is the range of a square root function?
f(x) = x
x = the original sale price and the formula is x - .40x =$276
[0 -+infinity)
even

31. What does linear equation mean?
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)=+c and f(x)-c
Equation of a line
Change in y / change in x = rise / run = y2-y1 / x2-x1

32. What is the vertical line formula?
identity
(-infinity - +infinity)
x=a
parabola - up one and right three

33. x=all real numbers is what type of an equation?
f(x)=3 square root x
2nd catalog (zero key -) abs(x) - graph
in a quotient
identity

34. What is the range for a standard quadratic function?
parabola
(-infinity - 0]U[0 - +infinity)
Piecewise
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

35. Is an absolute value function even - odd or neither?
x=a
even
parraelle line
Set the x and y to zero and get the intercepts and then plot the points

36. what is the letter used to represent slope?
45 degree angle
Conditional
Y=b
m

37. What is the vertex?
Change in y / change in x = rise / run = y2-y1 / x2-x1
parraelle line
The minimum or maximum points
x^2

38. What type of function would you use to calculate the most advantageous cell phone plan?
f(x) = x
Piecewise
only one
Cannot be drawn in quizlet

39. Draw or discuss a decreasing function
function notation
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.
parraelle line
Cannot be drawn in quizlet

40. 4(x-7)=4x-28 is what type of an equation?
horizontal right
Square Root
f(x)=+c and f(x)-c
identity

41. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Y=x^2 - graph
horizontal right
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

42. $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?
parraelle 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
f(x) = x
As equations

43. What is the formula in both horizontal stretching and horizontal shrinking?
As many as you like
Y= then enter the number then press graph
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Cannot be drawn in quizlet

44. What points do you use to plot the inverse on a graph?
Equation of a line
The opposite coordinates
x2-x1 because the demonaitor of a quotient can never equal zero
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

45. What can we substitute for f(x)?
perpendicular line
Absolute Value - Constant and Standard Quadratic
Y
(-infinity - +infinity)

46. 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?
x is the hours to repair the boat. $1603-532=anwser/63 = 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
down
f(x)=suare root of x

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

48. What type of slope do horizontal lines have?
Cannot be drawn in quizlet
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x2)-f(x1) / x2-x1
same

49. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
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^1)=f(x^2)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

50. Of the seven of algebra's common graph's how many are neither?
Square Root
f(x^1)=f(x^2)
Y= then enter the number then press graph
(-infinity - +infinity)