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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. x= a real number is what type of equation?
2nd key - x^2 - graph
inconsistant
Conditional
Absolute Value - Constant and Standard Quadratic

2. What are the calculator instructions for the standard cubic function?
x math 3 graph
(-infinity - +infinity)
even
up

3. A flat line underlining one vertical line is a symbol for
perpendicular line
Cannot be drawn in quizlet
x2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)

4. What does the absolute value function look like?
f(x)=IxI
A V
x2-x1 because the demonaitor of a quotient can never equal zero
down

5. What is the formula for the standard cubic function?
f(x)=x^3
horizontal right
Yes because two x's or domains can point to one y
parraelle line

6. Which direction does f(x+c) move
f of g and g of f
down
horizontal left
odd

7. Two vertical lines side by side are a symbol for what
identity
parraelle line
Equation of a line
down

8. What is the range for an absolute value function?
perpendicular line
(-infinity - 0]U[0 - +infinity)
[0 -+infinity)
f(x)=x^3

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

10. What is slope?
Y=IxI
45 degree angle
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
A line passing through two distinct points

11. In an identity function if f(10)=x than what is y?
undefined
The secant line
Y=10
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

12. What type of line is a constant function?
Square Root
horizontal
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Conditional

13. Is a standard quadratic function even - odd or neither?
parabola
Line ascending to the right gradually
even
Three odd - cube root - identity - standard cubic

14. What is a relation?
Approach neg toward x through zero and above positive close to x
down
A line passing through two distinct points
Any set of ordered pairs

15. Of the seven of algebra's common graph's how many are odd?
Change in y / change in x = rise / run = y2-y1 / x2-x1
odd
Three odd - cube root - identity - standard cubic
Conditional

16. What is another way of writing the absolute value function?
Mirror image neg quadrant to that of the positive quandrant
As equations
45 degree angle
Y=IxI

17. What is the vertical line test?
x=a
Cannot be drawn in quizlet
45 degree angle
When does a graph not define y as a function of x?

18. what is the formula for slope?
Square Root
The secant line
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

19. $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)
Y
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

20. What type of line is an identity function?
The opposite coordinates
45 degree angle
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
x = the original sale price and the formula is x - .40x =$276

21. Is an identity function even - odd or neither?
x^2
odd
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x

22. 4x+5x=8x is what type of an equation?
f(x) = x
Conditional
The second set of components of an ordered pair
Cannot be drawn in quizlet

23. x=all real numbers is what type of an equation?
identity
1 -2 -3
The secant line
same

24. When is the only time (-infinity - +infinity) is not the domain?
identity
in a quotient
The slope of a line containing two points
f(x+h)-f(x)/h h cannot equal zero

25. how many ranges can you have for each domain?
only one
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f(x+c) and f(x-c)
Y=IxI

26. What type of slope do you have when a line falls left to right and m<0?
negative slope
undefined
even
x is the hours to repair the boat. $1603-532=anwser/63 = x

27. What are two examples of composit functions?
f of g and g of f
Three odd - cube root - identity - standard cubic
Conditional
(-infinity - +infinity)

28. 4(x-7)=4x-28 is what type of an equation?
Y=IxI
identity
undefined slope
As equations

29. y=f(cx) - what does this formula represent?
in a quotient
The first set of components of an ordered pair
C>1 - horizontal shrinking
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

30. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet
(-infinity - +infinity)

31. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(-infinity - 0]U[0 - +infinity)
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
f(x+c) and f(x-c)

32. What are the calculator instructions for a standard quadratic equation?
Any set of ordered pairs
(-infinity - +infinity)
Y=x^2 - graph
Y=10

33. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
45 degree angle
[0 -+infinity)
Yes - all the domains points to one range
f(x^1)=f(x^2)

34. Draw or discuss an increasing function
Cannot be drawn in quizlet
f(x)=+c and f(x)-c
f(x)=x^3
because the demintor of a quotient can never equal zero

35. What is the domain of an identity function?
(-infinity - +infinity)
f(x)=suare root of x
undefined slope
parabola - up one and right three

36. What is the range of the constant function?
The single number y=
f(x+c) and f(x-c)
Conditional
(-infinity - +infinity)

37. Is a constant function even - odd or neither?
even
f(x)=suare root of x
20+.05x=5+.10x x=minutes
x2-x1 because the demonaitor of a quotient can never equal zero

38. What points do you use to plot the inverse on a graph?
Conditional
The opposite coordinates
Yes because two x's or domains can point to one y
Cannot be drawn in quizlet

39. What are the calculator instructions for the cube root function?
f(x)=IxI
Any set of ordered pairs
horizontal
math 4 x - graph

40. what can never equal zero in the slope formula and why?
x math 3 graph
(-infinity - +infinity)
Line ascending to the right gradually
x2-x1 because the demonaitor of a quotient can never equal zero

41. What is a constant function?
(-infinity - +infinity)
f(x^1)=f(x^2)
horizontal
Y=IxI

42. What are the four steps for solving a linear equation?
[0 -+infinity)
identity
45 degree angle
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.

43. 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
f of g and g of f
As equations
Conditional

44. What type of slope do horizontal lines have?
same
x^2
perpendicular line
(-infinity - +infinity)

45. what is the letter used to represent slope?
m
x^2
down
zero slope

46. What is an identity function?
45 degree angle
Absolute Value - Constant and Standard Quadratic
Set the x and y to zero and get the intercepts and then plot the points
horizontal left

47. How do you graph Ax+By+C=0?
Mirror image neg quadrant to that of the positive quandrant
even
Set the x and y to zero and get the intercepts and then plot the points
x=a

48. What is the horizontal line formula?
Y=b
f(x2)-f(x1) / x2-x1
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
m

49. What is the range for the standard cubic function?
When does a graph not define y as a function of x?
math 4 x - graph
(-infinity - +infinity)
Y=x^2 - graph

50. What is the domain and range of a constant function?
odd
(-infinity - +infinity)
horizontal
horizontal left