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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 is another way of writing the absolute value function?
Y
x is the hours to repair the boat. $1603-532=anwser/63 = x
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.
Y=IxI

2. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
When does a graph not define y as a function of 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
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Line ascending to the right gradually

3. What shape is the standard quadratic function?
parabola
horizontal left
45 degree angle
(-infinity - 0]U[0 - +infinity)

4. Of the seven of algebra's common graph's how many are even?
Y
A V
identity
Absolute Value - Constant and Standard Quadratic

5. What is the horizontal line formula?
odd
f(x2)-f(x1) / x2-x1
Y=b
(-infinity - 0]U[0 - +infinity)

6. What type of slope do you have when a line falls left to right and m<0?
negative slope
postiive slope
f(x)=x^3
f(x2)-f(x1) / x2-x1

7. What can we substitute for f(x)?
(-infinity - 0]U[0 - +infinity)
Y
undefined slope
A line passing through two distinct points

8. In an identity function if f(10)=x than what is y?
Y=10
The single number y=
Mirror image neg quadrant to that of the positive quandrant
x^2

9. What type of line is a constant function?
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
odd
horizontal
(-infinity - +infinity)

10. What is slope?
even
no because you cannot have one domain pointing at two y's or ranges
x = the original sale price and the formula is x - .40x =$276
A line passing through two distinct points

11. x=no real numbers is what type of an equation?
The minimum or maximum points
Conditional
inconsistant
f(x) = x

12. What is the vertex?
in a quotient
(-infinity - 0]U[0 - +infinity)
Y= then enter the number then press graph
The minimum or maximum points

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

14. how many domains can you have pointing to one range?
inconsitent
As many as you like
The minimum or maximum points
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

15. What is the range for the standard cubic function?
(-infinity - +infinity)
parabola - up one and right three
x=a
Three odd - cube root - identity - standard cubic

16. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
Equation of a line
Piecewise
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

17. Why can h not equal zero in the difference of a quotient function formula?
(-infinity - +infinity)
inconsitent
because the demintor of a quotient can never equal zero
0<c<1 - horizontal stretching

18. x=all real numbers is what type of an equation?
up
f(x) = x
identity
math 4 x - graph

19. What does the square root function look like on a graph?
Line ascending to the right gradually
inconsitent
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

20. What is the formula for an absolute value function?
inconsistant
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
45 degree angle

21. How do you calculate a constant function in your calculator?
The single number y=
even
Y= then enter the number then press graph
odd

22. What is the domain of a square root function?
(-infinity - 0]U[0 - +infinity)
[0 -+infinity)
inconsistant
(-infinity - +infinity)

23. What are the calculator instructions for a standard quadratic equation?
horizontal
(f+g) - (f-g) - (fg) - (f/g) all of x
20+.05x=5+.10x x=minutes
Y=x^2 - graph

24. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
horizontal right
f(x)=IxI
(-infinity - +infinity)

25. What is the formula for to calculate the difference of a quotient function?
even
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x+h)-f(x)/h h cannot equal zero
Line ascending to the right gradually

26. x= a real number is what type of equation?
f(x)=+c and f(x)-c
identity
Conditional
m

27. How are functions normally written?
4 -6 -9
(-infinity - +infinity)
As equations
down

28. What equation does every line have? Discuss the variables.
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.
Three odd - cube root - identity - standard cubic
horizontal
The second set of components of an ordered pair

29. What is the vertical line test?
even
only one
Y= then enter the number then press graph
When does a graph not define y as a function of x?

30. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
perpendicular line
(-infinity - +infinity)
f(x)=3 square root x

31. What type of line is a constant function?
horizontal
Y
Yes because two x's or domains can point to one y
x=a

32. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
up
f(x^1)=f(x^2)
same

33. What type of slope do you have when m=? and the line is vertical?
x2-x1 because the demonaitor of a quotient can never equal zero
f(x2)-f(x1) / x2-x1
undefined slope
Y=x - identity function

34. What type of line is an identity function?
f(x)=+c and f(x)-c
Yes because two x's or domains can point to one y
down
45 degree angle

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

36. What is the domain for the standard cubic function?
neither
in a quotient
(-infinity - +infinity)
Y=x - identity function

37. What are the calculator instructions for the standard cubic function?
[0 -+infinity)
x math 3 graph
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.
x2-x1 because the demonaitor of a quotient can never equal zero

38. Is the standard cubic function odd - even or neither?
Y=x^2 - graph
Any set of ordered pairs
parraelle line
odd

39. What is the range of the cube root function?
Approach neg toward x through zero and above positive close to x
f of g and g of f
(-infinity - +infinity)
inconsitent

40. Is a constant function even - odd or neither?
(-infinity - +infinity)
even
up
Y=10

41. Which direction does f(x+c) move
(-infinity - +infinity)
x math 3 graph
horizontal left
f(x^1)=f(x^2)

42. Is the square root function odd - even or neither?
Conditional
2nd key - x^2 - graph
neither
inconsistant

43. What type of slope do horizontal lines have?
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
same
Change in y / change in x = rise / run = y2-y1 / x2-x1

44. $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?
Approach neg toward x through zero and above positive close to x
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
m
Mirror image neg quadrant to that of the positive quandrant

45. What type of slope do you have when a line rises from left to right and m>0?
horizontal right
postiive slope
4 -6 -9
A V

46. what is a range?
The second set of components of an ordered pair
horizontal left
zero slope
Y=x - identity function

47. What is a function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

48. What is the range of a square root function?
Conditional
(-infinity - +infinity)
[0 -+infinity)
only one

49. Is an identity function even - odd or neither?
f(x+c) and f(x-c)
(f+g) - (f-g) - (fg) - (f/g) all of x
When does a graph not define y as a function of x?
odd

50. What does the graph of the cube root function look like on the graph?
inconsistant
Approach neg toward x through zero and above positive close to x
f(x)=IxI
(-infinity - +infinity)