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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=IxI
f(x)=x^3
Y
Absolute Value - Constant and Standard Quadratic

2. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Cannot be drawn in quizlet
inconsitent
Yes - all the domains points to one range
because the demintor of a quotient can never equal zero

3. how many domains can you have pointing to one range?
As many as you like
The first set of components of an ordered pair
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
identity

4. what is a range?
As equations
no because you cannot have one domain pointing at two y's or ranges
The second set of components of an ordered pair
Change in y / change in x = rise / run = y2-y1 / x2-x1

5. 4(x-7)=4x-28 is what type of an equation?
Line ascending to the right gradually
Y=x - identity function
identity
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

6. What is the standard quadratic function?
x^2
As equations
zero slope
only one

7. What is the point slope formula and when do you use it?
x = the original sale price and the formula is x - .40x =$276
only one
x is the hours to repair the boat. $1603-532=anwser/63 = x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

8. What does the standard cubic function look like on a graph?
down
same
Line ascending to the right gradually
Mirror image neg quadrant to that of the positive quandrant

9. What points do you use to plot the inverse on a graph?
The second set of components of an ordered pair
parraelle line
f(x) = x
The opposite coordinates

10. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
in a quotient
Mirror image neg quadrant to that of the positive quandrant
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

11. What are the calculator instructions for the standard cubic function?
horizontal
2nd key - x^2 - graph
x math 3 graph
Cannot be drawn in quizlet

12. What is the formula for an absolute value function?
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.
f(x)=IxI
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
up

13. What does the square root function look like on a graph?
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.
Line ascending to the right gradually
undefined
x^2

14. What is the range for an absolute value function?
negative inverse
horizontal
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - 0]U[0 - +infinity)

15. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
parraelle line
4 -6 -9
(-infinity - +infinity)
f(x^1)=f(x^2)

16. What does the graph of the cube root function look like on the 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.
Approach neg toward x through zero and above positive close to x
no because you cannot have one domain pointing at two y's or ranges
negative slope

17. f(x) = x^2+3x+5 - what type of formula is this?
function notation
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
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic

18. What type of line is an identity function?
45 degree angle
same
parraelle line
Cannot be drawn in quizlet

19. Is an absolute value function even - odd or neither?
parabola
even
Cannot be drawn in quizlet
same

20. Of the seven of algebra's common graph's how many are odd?
x math 3 graph
f(x)=+c and f(x)-c
f(x2)-f(x1) / x2-x1
Three odd - cube root - identity - standard cubic

21. What is the range of the constant function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The single number y=
identity
no because you cannot have one domain pointing at two y's or ranges

22. Standard absolute value - vertical shift formulas for positve and negative
horizontal
f(x)=+c and f(x)-c
f(x) = x
even

23. What is the average rate of change formula?
f(x2)-f(x1) / x2-x1
Mirror image neg quadrant to that of the positive quandrant
4 -6 -9
Equation of a line

24. What is the domain for an absolute value function?
The second set of components of an ordered pair
f(x)=suare root of x
Cannot be drawn in quizlet
(-infinity - +infinity)

25. What is the formula for the cube root function?
The single number y=
[0 -+infinity)
postiive slope
f(x)=3 square root x

26. What are the steps for solving a word problem?
x is the hours to repair the boat. $1603-532=anwser/63 = x
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
inconsistant
odd

27. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
zero slope
f(x)=+c and f(x)-c
The opposite coordinates

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

29. x= a real number is what type of equation?
in a quotient
Conditional
Cannot be drawn in quizlet
(-infinity - 0]U[0 - +infinity)

30. What direction does f(x)-c move in standard absolute value formula?
down
Y=x - identity function
m
neither

31. what can never equal zero in the slope formula and why?
undefined
neither
x2-x1 because the demonaitor of a quotient can never equal zero
because the demintor of a quotient can never equal zero

32. What are two examples of composit functions?
Equation of a line
(-infinity - +infinity)
The second set of components of an ordered pair
f of g and g of f

33. x=all real numbers is what type of an equation?
up
Piecewise
identity
Line ascending to the right gradually

34. What is the domain of the cube root function?
only one
Y=b
up
(-infinity - +infinity)

35. What type of slope do you have when m=? and the line is vertical?
(-infinity - +infinity)
When does a graph not define y as a function of x?
inconsistant
undefined slope

36. How are functions normally written?
As equations
even
The second set of components of an ordered pair
20+.05x=5+.10x x=minutes

37. What is the domain and range of a constant function?
(-infinity - +infinity)
(-infinity - 0]U[0 - +infinity)
A V
f(x)=x^3

38. What is another way to write f(x)=x - what type of function is this?
Piecewise
perpendicular line
x2-x1 because the demonaitor of a quotient can never equal zero
Y=x - identity function

39. What is the formula for to calculate the difference of a quotient function?
zero slope
horizontal right
f(x+h)-f(x)/h h cannot equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

40. Is the standard cubic function odd - even or neither?
x is the hours to repair the boat. $1603-532=anwser/63 = x
identity
undefined
odd

41. Is an identity function even - odd or neither?
odd
Yes - all the domains points to one range
x^2
perpendicular line

42. What is the formula in both horizontal stretching and horizontal shrinking?
horizontal
Y= then enter the number then press graph
Approach neg toward x through zero and above positive close to x
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

43. What is the domain for a standard quadratic function?
(-infinity - +infinity)
f(x) = x
even
When does a graph not define y as a function of x?

44. What is a constant function?
even
Square Root
f(x^1)=f(x^2)
negative inverse

45. What type of slope do vertical lines have?
f(x)=3 square root x
As many as you like
Three odd - cube root - identity - standard cubic
undefined

46. What type of slope do horizontal lines have?
same
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 minimum or maximum points
(-infinity - +infinity)

47. What type of line is a constant function?
The slope of a line containing two points
postiive slope
horizontal
x is the hours to repair the boat. $1603-532=anwser/63 = x

48. What is an identity function?
A V
Cannot be drawn in quizlet
45 degree angle
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

49. What is the domain for the standard cubic function?
(-infinity - +infinity)
f(x)=suare root of x
because the demintor of a quotient can never equal zero
Equation of a line

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