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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 type of slope do vertical lines have?
The first set of components of an ordered pair
identity
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up

2. Is the standard cubic function odd - even or neither?
The first set of components of an ordered pair
(-infinity - 0]U[0 - +infinity)
f(x)=x^3
odd

3. What are the calculator instructions for absolute value?
f(x)=suare root of x
(-infinity - +infinity)
f(x)=IxI
2nd catalog (zero key -) abs(x) - graph

4. Is a constant function even - odd or neither?
Square Root
The minimum or maximum points
even
0<c<1 - horizontal stretching

5. What is a constant function?
As equations
x^2
f(x^1)=f(x^2)
(-infinity - 0]U[0 - +infinity)

6. What is the formula for an absolute value function?
horizontal
f(x)=IxI
A V
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

7. what is the letter used to represent slope?
m
Approach neg toward x through zero and above positive close to x
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Cannot be drawn in quizlet

8. what is a range?
f(x)=suare root of x
The second set of components of an ordered pair
f(x+c) and f(x-c)
(-infinity - 0]U[0 - +infinity)

9. Two vertical lines side by side are a symbol for what
only one
parraelle line
same
Y=10

10. how many ranges can you have for each domain?
f(x)=x^3
(-infinity - +infinity)
As many as you like
only one

11. How are functions normally written?
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.
As equations
Y
Any set of ordered pairs

12. What are the calculator instructions for the standard cubic function?
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
x math 3 graph
f(x)=suare root of x
f(x+h)-f(x)/h h cannot equal zero

13. What are the four steps for finding the inverse of a function?
Yes - all the domains points to one range
Conditional
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
down

14. How do you calculate a constant function in your calculator?
because the demintor of a quotient can never equal zero
x = the original sale price and the formula is x - .40x =$276
Y= then enter the number then press graph
(-infinity - 0]U[0 - +infinity)

15. What is the domain of the cube root function?
(-infinity - +infinity)
As many as you like
inconsitent
0<c<1 - horizontal stretching

16. What type of slope do you have when a line falls left to right and m<0?
(-infinity - +infinity)
Equation of a line
horizontal left
negative slope

17. x= a real number is what type of equation?
Mirror image neg quadrant to that of the positive quandrant
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
Conditional

18. What is the formula for the standard cubic function?
perpendicular line
As equations
f(x)=x^3
x=a

19. Which direction does f(x+c) move
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
horizontal left
postiive slope
Piecewise

20. how many domains can you have pointing to one range?
x2-x1 because the demonaitor of a quotient can never equal zero
parabola - up one and right three
The opposite coordinates
As many as you like

21. What does the absolute value function look like?
As many as you like
(-infinity - +infinity)
negative inverse
A V

22. What is the formula for an identity function?
Y=b
because the demintor of a quotient can never equal zero
even
f(x) = x

23. what can never equal zero in the slope formula and why?
in a quotient
x2-x1 because the demonaitor of a quotient can never equal zero
As equations
Line ascending to the right gradually

24. What is the standard quadratic function?
down
(-infinity - +infinity)
parabola - up one and right three
x^2

25. What is slope?
C>1 - horizontal shrinking
When does a graph not define y as a function of x?
A line passing through two distinct points
horizontal right

26. What is the vertical line formula?
f(x^1)=f(x^2)
x=a
Cannot be drawn in quizlet
f of g and g of f

27. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
up
4 -6 -9
Y=IxI
no because you cannot have one domain pointing at two y's or ranges

28. Of the seven of algebra's common graph's how many are odd?
m
Three odd - cube root - identity - standard cubic
odd
Equation of a line

29. What is the domain for an absolute value function?
f(x)=x^3
horizontal right
because the demintor of a quotient can never equal zero
(-infinity - +infinity)

30. What type of slope do you have when m=? and the line is vertical?
only one
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Approach neg toward x through zero and above positive close to x
undefined slope

31. 4(x-7)=4x-28 is what type of an equation?
(-infinity - +infinity)
When does a graph not define y as a function of x?
identity
[0 -+infinity)

32. What is the vertex?
odd
(-infinity - +infinity)
The minimum or maximum points
Cannot be drawn in quizlet

33. Is an absolute value function even - odd or neither?
Yes because two x's or domains can point to one y
Y=10
even
(-infinity - +infinity)

34. What is the domain and range of a constant function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
m
function notation
(-infinity - +infinity)

35. In an identity function if f(10)=x than what is y?
Y=IxI
Three odd - cube root - identity - standard cubic
Yes because two x's or domains can point to one y
Y=10

36. Standard absolute value - horizontal shift formulas for left and right
f(x+c) and f(x-c)
45 degree angle
even
The single number y=

37. What does linear equation mean?
(-infinity - +infinity)
no because you cannot have one domain pointing at two y's or ranges
Equation of a line
Change in y / change in x = rise / run = y2-y1 / x2-x1

38. What points do you use to plot the inverse on a graph?
A V
zero slope
f(x)=suare root of x
The opposite coordinates

39. what is the formula for slope?
x^2
Change in y / change in x = rise / run = y2-y1 / x2-x1
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

40. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
Cannot be drawn in quizlet
2nd key - x^2 - graph
20+.05x=5+.10x x=minutes
2nd catalog (zero key -) abs(x) - graph

41. y=f(cx) - what does this formula represent?
C>1 - horizontal shrinking
Equation of a line
parabola - up one and right three
parraelle line

42. What is the domain for a standard quadratic function?
f(x2)-f(x1) / x2-x1
Yes because two x's or domains can point to one y
f(x) = x
(-infinity - +infinity)

43. What equation does every line have? Discuss the variables.
postiive 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.
Y=x^2 - graph
Cannot be drawn in quizlet

44. What type of slope do horizontal lines have?
(-infinity - +infinity)
f(x)=x^3
same
The opposite coordinates

45. What can we substitute for f(x)?
Equation of a line
The slope of a line containing two points
Y
odd

46. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Any set of ordered pairs
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
up
Piecewise

47. What type of line is a constant function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
because the demintor of a quotient can never equal zero
horizontal

48. f(x) = x^2+3x+5 - what type of formula is this?
f of g and g of f
function notation
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x

49. y=f(cx) what does this formula represent?
f(x)=IxI
identity
0<c<1 - horizontal stretching
(-infinity - +infinity)

50. 4x+5x=8x is what type of an equation?
(-infinity - +infinity)
Conditional
Cannot be drawn in quizlet
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