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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 the letter used to represent slope?
undefined slope
Absolute Value - Constant and Standard Quadratic
Approach neg toward x through zero and above positive close to x
m

2. how many ranges can you have for each domain?
only one
even
undefined slope
45 degree angle

3. What type of line is an identity function?
identity
45 degree angle
horizontal left
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

4. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
(-infinity - +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
Piecewise
postiive slope

5. What is the formula for the square root function?
Absolute Value - Constant and Standard Quadratic
2nd catalog (zero key -) abs(x) - graph
f(x)=suare root of x
Y=b

6. how many domains can you have pointing to one range?
f(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
in a quotient
As many as you like

7. Which direction does f(x)=+c move in standard absolute value formula?
negative inverse
up
2nd catalog (zero key -) abs(x) - graph
f(x)=IxI

8. f(x) = x^2+3x+5 - what type of formula is this?
f(x)=+c and f(x)-c
The slope of a line containing two points
function notation
even

9. What is the horizontal line formula?
[0 -+infinity)
45 degree angle
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=b

10. What does the graph of the cube root function look like on the graph?
Line ascending to the right gradually
20+.05x=5+.10x x=minutes
Approach neg toward x through zero and above positive close to x
math 4 x - graph

11. What is a constant function?
f(x^1)=f(x^2)
because the demintor of a quotient can never equal zero
(-infinity - 0]U[0 - +infinity)
only one

12. What shape is the standard quadratic function?
parabola
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)
(-infinity - +infinity)

13. What is slope?
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.
(f+g) - (f-g) - (fg) - (f/g) all of x
A line passing through two distinct points
odd

14. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
up
f(x)=3 square root x
even

15. A flat line underlining one vertical line is a symbol for
f(x)=3 square root x
(-infinity - +infinity)
perpendicular line
The opposite coordinates

16. What is the average rate of change formula?
parabola - up one and right three
parabola
(-infinity - 0]U[0 - +infinity)
f(x2)-f(x1) / x2-x1

17. What does the square root function look like on a graph?
Line ascending to the right gradually
f of g and g of f
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic

18. Is the standard cubic function odd - even or neither?
odd
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant
Y

19. What type of slope do you have when a line rises from left to right and m>0?
Yes because two x's or domains can point to one y
(-infinity - +infinity)
postiive slope
(-infinity - +infinity)

20. What equation does every line have? Discuss the variables.
undefined slope
f(x)=IxI
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the 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.

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

22. What does the absolute value function look like?
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
A V
parabola

23. What is the formula for an identity function?
The opposite coordinates
perpendicular line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x) = x

24. Which direction does f(x+c) move
horizontal left
As many as you like
neither
identity

25. What are two examples of composit functions?
zero slope
f of g and g of f
(-infinity - +infinity)
Y=IxI

26. What is the range of a square root function?
f(x) = x
f of g and g of f
[0 -+infinity)
horizontal

27. What is another way of writing the absolute value function?
Conditional
Mirror image neg quadrant to that of the positive quandrant
2nd key - x^2 - graph
Y=IxI

28. What is the vertical line test?
When does a graph not define y as a function of x?
Three odd - cube root - identity - standard cubic
in a quotient
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.

29. 4x+5x=8x is what type of an equation?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
x2-x1 because the demonaitor of a quotient can never equal zero
The opposite coordinates
Conditional

30. How would this formula move f(x)=(x+1)^2-3
m
parabola - up one and right three
45 degree angle
f(x^1)=f(x^2)

31. What is the formula for an absolute value function?
The minimum or maximum points
zero slope
f(x)=IxI
x math 3 graph

32. What are the calculator instructions for the standard cubic function?
(-infinity - +infinity)
x math 3 graph
45 degree angle
(-infinity - +infinity)

33. What is an identity function?
45 degree angle
When does a graph not define y as a function of x?
even
f of g and g of f

34. What are the calculator instructions for a standard quadratic equation?
x math 3 graph
Y=x^2 - graph
Y=x - identity function
Equation of a line

35. What is the domain of an identity function?
horizontal
only one
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero

36. What type of line is a constant function?
horizontal
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 secant line
Y=b

37. What is a relation?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
same
Any set of ordered pairs
The secant line

38. What does the average rate of change formula solve?
2nd catalog (zero key -) abs(x) - graph
Cannot be drawn in quizlet
The slope of a line containing two points
(f+g) - (f-g) - (fg) - (f/g) all of x

39. What is the domain for an absolute value function?
When does a graph not define y as a function of x?
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
horizontal left

40. What are the steps for solving a word problem?
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
Cannot be drawn in quizlet
1 -2 -3
f(x)=x^3

41. What type of line is a constant function?
undefined slope
horizontal
Piecewise
up

42. What type of slope do vertical lines have?
(-infinity - +infinity)
Conditional
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
undefined

43. What is the formula in both horizontal stretching and horizontal shrinking?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
x=a
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=10

44. Is a standard quadratic function even - odd or neither?
even
x^2
f(x+c) and f(x-c)
inconsitent

45. What is the vertical line formula?
Y= then enter the number then press graph
(-infinity - +infinity)
f(x)=x^3
x=a

46. Is the square root function odd - even or neither?
neither
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
identity
2nd catalog (zero key -) abs(x) - graph

47. What does linear equation mean?
45 degree angle
Equation of a line
As many as you like
x = the original sale price and the formula is x - .40x =$276

48. What is the slope intercept formula? Define all the variables.
x is the hours to repair the boat. $1603-532=anwser/63 = x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
[0 -+infinity)
x^2

49. Why can h not equal zero in the difference of a quotient function formula?
2nd key - x^2 - graph
x = the original sale price and the formula is x - .40x =$276
m
because the demintor of a quotient can never equal zero

50. How are functions normally written?
As equations
The opposite coordinates
The first set of components of an ordered pair
negative inverse