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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. y=f(cx) what does this formula represent?
0<c<1 - horizontal stretching
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The slope of a line containing two points
f(x+c) and f(x-c)

2. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
same
m

3. What does the absolute value function look like?
A V
in a quotient
Piecewise
20+.05x=5+.10x x=minutes

4. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
odd
The slope of a line containing two points
f(x+h)-f(x)/h h cannot equal zero
20+.05x=5+.10x x=minutes

5. What type of slope do you have when a line falls left to right and m<0?
Approach neg toward x through zero and above positive close to x
f(x)=+c and f(x)-c
Cannot be drawn in quizlet
negative slope

6. how many domains can you have pointing to one range?
The slope of a line containing two points
As many as you like
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
x math 3 graph

7. What is the line called that illustrates the straight line between the two points when showing average rate of change?
(-infinity - 0]U[0 - +infinity)
The secant line
up
The single number y=

8. What type of line is a constant function?
horizontal
20+.05x=5+.10x x=minutes
Change in y / change in x = rise / run = y2-y1 / x2-x1
in a quotient

9. how many ranges can you have for each domain?
undefined
only one
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The opposite coordinates

10. What is the formula for the standard cubic function?
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x)=x^3
Y=10
0<c<1 - horizontal stretching

11. What is the formula for the cube root function?
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(x)=3 square root x
same
math 4 x - graph

12. What equation does every line have? Discuss the variables.
Three odd - cube root - identity - standard cubic
Y
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.
x=a

13. what is the letter used to represent slope?
m
f(x)=+c and f(x)-c
undefined
1 -2 -3

14. Is an identity function even - odd or neither?
f(x+h)-f(x)/h h cannot equal zero
Three odd - cube root - identity - standard cubic
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

15. Draw or discuss an increasing function
Cannot be drawn in quizlet
f(x)=suare root of x
horizontal
in a quotient

16. What is the domain for the standard cubic function?
x math 3 graph
[0 -+infinity)
C>1 - horizontal shrinking
(-infinity - +infinity)

17. What type of slope do horizontal lines have?
same
horizontal
perpendicular line
Line ascending to the right gradually

18. What is the domain for a standard quadratic function?
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
C>1 - horizontal shrinking
function notation

19. What type of line is a constant function?
undefined slope
1 -2 -3
(f+g) - (f-g) - (fg) - (f/g) all of x
horizontal

20. What type of slope do you have when m=? and the line is vertical?
x=a
A V
undefined slope
horizontal

21. When is the only time (-infinity - +infinity) is not the domain?
in a quotient
f(x+c) and f(x-c)
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

22. What is the domain and range of a constant function?
Y
(-infinity - +infinity)
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=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

23. What is another way to write f(x)=x - what type of function is this?
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 - identity function
(-infinity - 0]U[0 - +infinity)

24. What is the domain of a square root function?
[0 -+infinity)
Set the x and y to zero and get the intercepts and then plot the points
f of g and g of f
(-infinity - +infinity)

25. What is the average rate of change formula?
f(x2)-f(x1) / 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
(-infinity - +infinity)
f(x+h)-f(x)/h h cannot equal zero

26. y=f(cx) - what does this formula represent?
identity
zero slope
C>1 - horizontal shrinking
The second set of components of an ordered pair

27. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
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
45 degree angle
Y=x^2 - graph

28. What is the standard quadratic function?
2nd catalog (zero key -) abs(x) - graph
x^2
m
even

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

30. What type of slope do you have when the line is horizontal and m=0?
zero slope
When does a graph not define y as a function of x?
Piecewise
45 degree angle

31. What is a constant function?
neither
f(x)=+c and f(x)-c
f(x^1)=f(x^2)
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

32. Is an absolute value function even - odd or neither?
function notation
even
(-infinity - 0]U[0 - +infinity)
f(x)=x^3

33. What is the vertex?
The second set of components of an ordered pair
The minimum or maximum points
negative slope
(-infinity - +infinity)

34. How would this formula move f(x)=(x+1)^2-3
parabola - up one and right three
The single number y=
(-infinity - 0]U[0 - +infinity)
20+.05x=5+.10x x=minutes

35. What is the domain of the cube root function?
identity
because the demintor of a quotient can never equal zero
(-infinity - +infinity)
Y= then enter the number then press graph

36. What are the calculator instructions for a standard quadratic equation?
only one
(-infinity - 0]U[0 - +infinity)
f(x) = x
Y=x^2 - graph

37. What does the standard cubic function look like on a graph?
parabola
x=a
The second set of components of an ordered pair
Mirror image neg quadrant to that of the positive quandrant

38. What does the average rate of change formula solve?
The slope of a line containing two points
Mirror image neg quadrant to that of the positive quandrant
2nd catalog (zero key -) abs(x) - graph
odd

39. What is the range for the standard cubic function?
even
up
f(x) = x
(-infinity - +infinity)

40. What are the algebra of functions?
C>1 - horizontal shrinking
(f+g) - (f-g) - (fg) - (f/g) all of x
When does a graph not define y as a function of x?
x is the hours to repair the boat. $1603-532=anwser/63 = x

41. x=no real numbers is what type of an equation?
even
inconsistant
0<c<1 - horizontal stretching
The first set of components of an ordered pair

42. 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
Cannot be drawn in quizlet
parraelle line
Line ascending to the right gradually

43. What shape is the standard quadratic function?
parabola
1 -2 -3
(-infinity - +infinity)
undefined slope

44. Draw or discuss a constant function
neither
(-infinity - +infinity)
Cannot be drawn in quizlet
Y= then enter the number then press graph

45. Draw or discuss a decreasing function
Cannot be drawn in quizlet
odd
inconsitent
(-infinity - +infinity)

46. what can never equal zero in the slope formula and why?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The first set of components of an ordered pair
x2-x1 because the demonaitor of a quotient can never equal zero
Y=b

47. What type of line is an identity function?
Cannot be drawn in quizlet
Yes - all the domains points to one range
45 degree angle
[0 -+infinity)

48. Is a standard quadratic function even - odd or neither?
f(x^1)=f(x^2)
x=a
even
no because you cannot have one domain pointing at two y's or ranges

49. What is an identity function?
Y=x - identity function
The slope of a line containing two points
identity
45 degree angle

50. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
45 degree angle
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
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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.