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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. how many domains can you have pointing to one range?
Y= then enter the number then press graph
As many as you like
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
even

2. What is the domain of an identity function?
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The minimum or maximum points
A line passing through two distinct points

3. what is the letter used to represent slope?
(-infinity - +infinity)
f(x2)-f(x1) / x2-x1
m
x2-x1 because the demonaitor of a quotient can never equal zero

4. What is the domain for the standard cubic function?
A line passing through two distinct points
even
(-infinity - +infinity)
f of g and g of f

5. Is an identity function even - odd or neither?
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.
odd
f(x2)-f(x1) / x2-x1
Piecewise

6. What is a domain?
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points
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

7. What does the graph of the cube root function look like on the graph?
Y
As many as you like
Approach neg toward x through zero and above positive close to x
[0 -+infinity)

8. When is the only time (-infinity - +infinity) is not the domain?
Any set of ordered pairs
in a quotient
The opposite coordinates
(-infinity - +infinity)

9. 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
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)
neither

10. Which direction does f(x+c) move
neither
Mirror image neg quadrant to that of the positive quandrant
horizontal left
horizontal

11. What type of line is a constant function?
f(x)=IxI
horizontal
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant

12. What is the domain of the cube root function?
Set the x and y to zero and get the intercepts and then plot the points
A V
(-infinity - +infinity)
inconsistant

13. What is a relation?
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.
Any set of ordered pairs
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

14. A flat line underlining one vertical line is a symbol for
inconsistant
horizontal
perpendicular line
The single number y=

15. What are two examples of composit functions?
A line passing through two distinct points
f of g and g of f
odd
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

16. Draw or discuss a constant function
1 -2 -3
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
postiive slope

17. y=f(cx) - what does this formula represent?
Y
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 of g and g of f
C>1 - horizontal shrinking

18. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
x = the original sale price and the formula is x - .40x =$276
Y=IxI
perpendicular line
Line ascending to the right gradually

19. What is an identity function?
parraelle line
45 degree angle
2nd catalog (zero key -) abs(x) - graph
(f+g) - (f-g) - (fg) - (f/g) all of x

20. What is slope?
Y= then enter the number then press graph
same
A line passing through two distinct points
even

21. What is the domain for a standard quadratic function?
down
Cannot be drawn in quizlet
(-infinity - +infinity)
2nd key - x^2 - graph

22. Of the seven of algebra's common graph's how many are odd?
20+.05x=5+.10x x=minutes
Yes because two x's or domains can point to one y
Three odd - cube root - identity - standard cubic
f(x2)-f(x1) / x2-x1

23. What is another way to write f(x)=x - what type of function is this?
Any set of ordered pairs
Conditional
Mirror image neg quadrant to that of the positive quandrant
Y=x - identity function

24. What type of slope do horizontal lines have?
The slope of a line containing two points
same
A V
Cannot be drawn in quizlet

25. 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
Any set of ordered pairs
Cannot be drawn in quizlet
parabola

26. What type of slope do you have when a line rises from left to right and m>0?
20+.05x=5+.10x x=minutes
As equations
Approach neg toward x through zero and above positive close to x
postiive slope

27. y=f(cx) what does this formula represent?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)
0<c<1 - horizontal stretching

28. What is the standard quadratic function?
neither
same
(-infinity - +infinity)
x^2

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

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30. 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
The single number y=
horizontal left
(-infinity - +infinity)

31. What is the range of a square root function?
[0 -+infinity)
(-infinity - 0]U[0 - +infinity)
f(x+c) and f(x-c)
Cannot be drawn in quizlet

32. What is the domain for an absolute value function?
undefined
As many as you like
(-infinity - +infinity)
inconsistant

33. how many ranges can you have for each domain?
only one
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
4 -6 -9

34. What is a function?
in a quotient
horizontal
(-infinity - +infinity)
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

35. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Yes because two x's or domains can point to one y
Yes - all the domains points to one range
The opposite coordinates

36. What is the range for the standard cubic function?
f(x)=suare root of x
negative slope
(-infinity - +infinity)
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

37. Of the seven of algebra's common graph's how many are neither?
x2-x1 because the demonaitor of a quotient can never equal zero
45 degree angle
Square Root
f(x+c) and f(x-c)

38. x= a real number is what type of equation?
45 degree angle
Conditional
The minimum or maximum points
Approach neg toward x through zero and above positive close to x

39. Is a standard quadratic function even - odd or neither?
even
The second set of components of an ordered pair
(-infinity - 0]U[0 - +infinity)
The minimum or maximum points

40. What is the formula for to calculate the difference of a quotient function?
perpendicular line
f(x+h)-f(x)/h h cannot equal zero
neither
horizontal right

41. What is the range of the cube root function?
As many as you like
up
horizontal right
(-infinity - +infinity)

42. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Yes - all the domains points to one range
C>1 - horizontal shrinking

43. What are the calculator instructions for the standard cubic function?
f(x) = x
f(x)=3 square root x
x math 3 graph
Set the x and y to zero and get the intercepts and then plot the points

44. Draw or discuss an increasing function
[0 -+infinity)
odd
Cannot be drawn in quizlet
4 -6 -9

45. What is the range of an identity function?
(-infinity - +infinity)
function notation
(f+g) - (f-g) - (fg) - (f/g) all of x
As many as you like

46. 4(x-7)=4x-28 is what type of an equation?
zero slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
identity
odd

47. What are the algebra of functions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
2nd catalog (zero key -) abs(x) - graph
(-infinity - 0]U[0 - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x

48. 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?
inconsitent
(-infinity - +infinity)
The opposite coordinates
x is the hours to repair the boat. $1603-532=anwser/63 = x

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

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50. What type of slope do you have when m=? and the line is vertical?
(f+g) - (f-g) - (fg) - (f/g) all of x
negative slope
undefined slope
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.