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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 the cube root function?
math 4 x - graph
Y
Line ascending to the right gradually
Yes - all the domains points to one range

2. What type of slope do you have when the line is horizontal and m=0?
zero slope
[0 -+infinity)
(-infinity - +infinity)
Conditional

3. $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?
up
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
(-infinity - +infinity)

4. Which direction does f(x-c) move
[0 -+infinity)
(-infinity - 0]U[0 - +infinity)
horizontal right
x2-x1 because the demonaitor of a quotient can never equal zero

5. What is the domain for the standard cubic function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
f(x)=x^3
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

6. 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
Conditional
20+.05x=5+.10x x=minutes
Piecewise

7. What can we substitute for f(x)?
identity
Y
identity
Absolute Value - Constant and Standard Quadratic

8. What does linear equation mean?
Equation of a line
even
same
When does a graph not define y as a function of x?

9. What is an identity function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
45 degree angle
The second set of components of an ordered pair
Conditional

10. What is the formula for to calculate the difference of a quotient function?
parabola
f(x+h)-f(x)/h h cannot equal zero
x math 3 graph
(-infinity - +infinity)

11. f(x) = x^2+3x+5 - what type of formula is this?
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+g) - (f-g) - (fg) - (f/g) all of x
function notation
The single number y=

12. What are the algebra of functions?
Cannot be drawn in quizlet
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
45 degree angle

13. What is the slope of a perpendicular line?
undefined slope
Yes because two x's or domains can point to one y
Cannot be drawn in quizlet
negative inverse

14. What type of slope do you have when m=? and the line is vertical?
undefined slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
Any set of ordered pairs
The first set of components of an ordered pair

15. What type of line is a constant function?
Y=IxI
C>1 - horizontal shrinking
horizontal
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

16. Two vertical lines side by side are a symbol for what
horizontal
parraelle line
Y=10
f(x) = x

17. Is the square root function odd - even or neither?
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.
odd
function notation
neither

18. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
Conditional
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
The opposite coordinates

19. What is the formula for the standard cubic function?
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
even
f(x)=x^3
f(x^1)=f(x^2)

20. What is the standard quadratic function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
x^2
math 4 x - graph
only one

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

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22. What is the range of the constant function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The single number y=
(-infinity - +infinity)
f(x)=IxI

23. How are functions normally written?
parraelle line
As equations
x^2
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

24. What are the calculator instructions for absolute value?
As many as you like
Y
2nd catalog (zero key -) abs(x) - graph
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

25. Of the seven of algebra's common graph's how many are neither?
parabola - up one and right three
horizontal
odd
Square Root

26. What does the average rate of change formula solve?
(-infinity - +infinity)
The slope of a line containing two points
Approach neg toward x through zero and above positive close to x
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.

27. What are the four steps for solving a linear equation?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Cannot be drawn in quizlet
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 equations

28. When is the only time (-infinity - +infinity) is not the domain?
Y=x - identity function
f(x)=IxI
The single number y=
in a quotient

29. What is the range for an absolute value function?
Line ascending to the right gradually
(-infinity - 0]U[0 - +infinity)
Conditional
horizontal

30. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
down

31. What is the average rate of change formula?
Line ascending to the right gradually
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
f(x2)-f(x1) / x2-x1
Cannot be drawn in quizlet

32. Standard absolute value - vertical shift formulas for positve and negative
Set the x and y to zero and get the intercepts and then plot the points
zero slope
f(x)=+c and f(x)-c
(-infinity - +infinity)

33. how many domains can you have pointing to one range?
undefined
As many as you like
Y
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 domain of an identity function?
zero slope
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
even

35. x=no real numbers is what type of an equation?
inconsistant
(-infinity - +infinity)
inconsitent
math 4 x - graph

36. What is the line called that illustrates the straight line between the two points when showing average rate of change?
parraelle line
The secant line
even
Conditional

37. What type of function would you use to calculate the most advantageous cell phone plan?
Y=x^2 - graph
Piecewise
The minimum or maximum points
even

38. Which direction does f(x+c) move
horizontal left
When does a graph not define y as a function of x?
Conditional
x=a

39. What shape is the standard quadratic function?
parabola
horizontal
1 -2 -3
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

40. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
postiive slope
f(x) = x
even

41. 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?
The second set of components of an ordered pair
undefined slope
x is the hours to repair the boat. $1603-532=anwser/63 = x
parabola - up one and right three

42. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
negative inverse
The opposite coordinates
horizontal right

43. What is the formula for an absolute value function?
Yes - all the domains points to one range
C>1 - horizontal shrinking
f(x)=IxI
[0 -+infinity)

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

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45. A flat line underlining one vertical line is a symbol for
20+.05x=5+.10x x=minutes
Three odd - cube root - identity - standard cubic
perpendicular line
Equation of a line

46. What type of line is an identity function?
Set the x and y to zero and get the intercepts and then plot the points
Piecewise
0<c<1 - horizontal stretching
45 degree angle

47. what is the formula for slope?
Y
Change in y / change in x = rise / run = y2-y1 / x2-x1
x math 3 graph
20+.05x=5+.10x x=minutes

48. y=f(cx) what does this formula represent?
m
0<c<1 - horizontal stretching
f(x)=x^3
Conditional

49. What points do you use to plot the inverse on a graph?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The opposite coordinates
undefined
parabola - up one and right three

50. How do you calculate a constant function in your calculator?
math 4 x - graph
Y= then enter the number then press graph
x math 3 graph
A V