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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 equation does every line have? Discuss the variables.
f(x)=IxI
negative slope
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.
The single number y=

2. When is the only time (-infinity - +infinity) is not the domain?
(-infinity - +infinity)
in a quotient
up
undefined slope

3. What is the formula for the square root function?
(-infinity - +infinity)
Square Root
f(x)=suare root of x
negative inverse

4. Draw or discuss an increasing function
only one
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)
Cannot be drawn in quizlet

5. What is the range for an absolute value function?
Y=b
(-infinity - 0]U[0 - +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
The secant line

6. What is a constant function?
horizontal
f(x^1)=f(x^2)
Three odd - cube root - identity - standard cubic
even

7. Is a constant function even - odd or neither?
Mirror image neg quadrant to that of the positive quandrant
odd
1 -2 -3
even

8. How do you calculate a constant function in your calculator?
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)=IxI
f(x)=suare root of x
Y= then enter the number then press graph

9. x=no real numbers is what type of an equation?
1 -2 -3
in a quotient
inconsistant
zero slope

10. Is the square root function odd - even or neither?
neither
even
(-infinity - +infinity)
parraelle line

11. What does the square root function look like on a graph?
(-infinity - 0]U[0 - +infinity)
x = the original sale price and the formula is x - .40x =$276
(-infinity - 0]U[0 - +infinity)
Line ascending to the right gradually

12. 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
only one
x=a
Y=10

13. 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)
f(x)=suare root of x
The opposite coordinates

14. y=f(cx) what does this formula represent?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
0<c<1 - horizontal stretching
Yes because two x's or domains can point to one y
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

15. what can never equal zero in the slope formula and why?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
x2-x1 because the demonaitor of a quotient can never equal zero
Conditional
The second set of components of an ordered pair

16. What is the range of the cube root function?
negative slope
parabola - up one and right three
[0 -+infinity)
(-infinity - +infinity)

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

18. What points do you use to plot the inverse on a graph?
function notation
identity
The opposite coordinates
odd

19. Two vertical lines side by side are a symbol for what
identity
A line passing through two distinct points
parraelle line
function notation

20. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Set the x and y to zero and get the intercepts and then plot the points
1 -2 -3
only one
up

21. Which direction does f(x-c) move
f(x)=+c and f(x)-c
horizontal right
Yes - all the domains points to one range
[0 -+infinity)

22. What type of function would you use to calculate the most advantageous cell phone plan?
Conditional
f(x2)-f(x1) / x2-x1
inconsitent
Piecewise

23. What is the formula for the standard cubic function?
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 slope of a line containing two points
f(x)=x^3
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

24. What type of line is an identity function?
up
1 -2 -3
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
45 degree angle

25. Is an absolute value function even - odd or neither?
2nd catalog (zero key -) abs(x) - graph
parraelle line
A V
even

26. $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?
[0 -+infinity)
Three odd - cube root - identity - standard cubic
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=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

27. What is the vertical line test?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
When does a graph not define y as a function of x?
Cannot be drawn in quizlet
A V

28. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
horizontal
4 -6 -9
undefined slope

29. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Conditional
odd
Yes - all the domains points to one range
f(x2)-f(x1) / x2-x1

30. x= a real number is what type of equation?
Conditional
(-infinity - +infinity)
only one
function notation

31. Of the seven of algebra's common graph's how many are neither?
postiive slope
Yes - all the domains points to one range
Square Root
Line ascending to the right gradually

32. What is slope?
parraelle line
The minimum or maximum points
Approach neg toward x through zero and above positive close to x
A line passing through two distinct points

33. What are the calculator instructions for the standard cubic function?
Conditional
f(x)=3 square root x
f of g and g of f
x math 3 graph

34. What is the formula for an absolute value function?
f(x^1)=f(x^2)
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 slope
f(x)=IxI

35. What does the standard cubic function look like on a graph?
The single number y=
Absolute Value - Constant and Standard Quadratic
Y=IxI
Mirror image neg quadrant to that of the positive quandrant

36. what is a range?
odd
x math 3 graph
The second set of components of an ordered pair
0<c<1 - horizontal stretching

37. 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
inconsitent
x2-x1 because the demonaitor of a quotient can never equal zero
2nd catalog (zero key -) abs(x) - graph

38. What type of slope do you have when a line falls left to right and m<0?
inconsistant
Cannot be drawn in quizlet
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 slope

39. What is the formula for the cube root function?
The first set of components of an ordered pair
f(x)=3 square root x
The slope of a line containing two points
undefined

40. What are two examples of composit functions?
Mirror image neg quadrant to that of the positive quandrant
f(x)=+c and f(x)-c
f of g and g of f
The first set of components of an ordered pair

41. What is the vertex?
The minimum or maximum points
horizontal
x^2
(-infinity - +infinity)

42. What type of slope do you have when the line is horizontal and m=0?
f(x2)-f(x1) / x2-x1
Y=b
zero slope
horizontal right

43. 4(x-7)=4x-28 is what type of an equation?
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)
C>1 - horizontal shrinking
identity

44. x=all real numbers is what type of an equation?
Cannot be drawn in quizlet
identity
A line passing through two distinct points
f(x2)-f(x1) / x2-x1

45. What is the domain for an absolute value function?
20+.05x=5+.10x x=minutes
Conditional
(-infinity - +infinity)
even

46. What is the domain of a square root function?
The second set of components of an ordered pair
[0 -+infinity)
horizontal left
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.

47. What is the domain for a standard quadratic function?
(f+g) - (f-g) - (fg) - (f/g) all of x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
f(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)

48. how many ranges can you have for each domain?
Cannot be drawn in quizlet
Equation of a line
Cannot be drawn in quizlet
only one

49. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
45 degree angle
f(x)=suare root of x
up

50. What can we substitute for f(x)?
A V
f(x+c) and f(x-c)
Y
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