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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 ranges can you have for each domain?
only one
function notation
f(x)=x^3
2nd key - x^2 - graph

2. 4(x-7)=4x+28 is what type of an equation?
because the demintor of a quotient can never equal zero
inconsitent
Piecewise
even

3. What type of slope do you have when m=? and the line is vertical?
horizontal left
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
undefined slope
45 degree angle

4. how many domains can you have pointing to one range?
As many as you like
Cannot be drawn in quizlet
(-infinity - +infinity)
Y=x - identity function

5. 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?
Y=IxI
x is the hours to repair the boat. $1603-532=anwser/63 = x
inconsitent
undefined

6. What type of slope do you have when a line rises from left to right and m>0?
Y=10
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
postiive slope
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 linear equation mean?
[0 -+infinity)
Equation of a line
The opposite coordinates
Y= then enter the number then press graph

8. What is the range of an identity function?
Set the x and y to zero and get the intercepts and then plot the points
A line passing through two distinct points
up
(-infinity - +infinity)

9. What does the square root function look like on a graph?
because the demintor of a quotient can never equal zero
same
math 4 x - graph
Line ascending to the right gradually

10. How would this formula move f(x)=(x+1)^2-3
(-infinity - 0]U[0 - +infinity)
no because you cannot have one domain pointing at two y's or ranges
parabola - up one and right three
parabola

11. what can never equal zero in the slope formula and why?
(f+g) - (f-g) - (fg) - (f/g) all of x
m
x2-x1 because the demonaitor of a quotient can never equal zero
Y=x^2 - graph

12. What are the steps for solving a word problem?
Yes - all the domains points to one range
As many as you like
postiive slope
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

13. what is the letter used to represent slope?
As equations
parabola
(-infinity - 0]U[0 - +infinity)
m

14. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Mirror image neg quadrant to that of the positive quandrant
f(x) = x
horizontal

15. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
even
f(x^1)=f(x^2)
x = the original sale price and the formula is x - .40x =$276
undefined slope

16. What type of function would you use to calculate the most advantageous cell phone plan?
(-infinity - +infinity)
Piecewise
Y=b
x2-x1 because the demonaitor of a quotient can never equal zero

17. $50 -000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6 -000. What is x and what is the formula?
Three odd - cube root - identity - standard cubic
f(x)=3 square root x
When does a graph not define y as a function of x?
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

18. Which direction does f(x)=+c move in standard absolute value formula?
up
Set the x and y to zero and get the intercepts and then plot the points
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)

19. When is the only time (-infinity - +infinity) is not the domain?
in a quotient
f(x) = x
(-infinity - +infinity)
Yes - all the domains points to one range

20. what is the formula for slope?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Approach neg toward x through zero and above positive close to x
[0 -+infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1

21. x=all real numbers is what type of an equation?
identity
odd
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Conditional

22. What type of line is a constant function?
(-infinity - +infinity)
zero slope
Yes because two x's or domains can point to one y
horizontal

23. What is the formula for an identity function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x) = x
negative slope
f(x+h)-f(x)/h h cannot equal zero

24. What are two examples of composit functions?
f of g and g of f
Cannot be drawn in quizlet
(-infinity - +infinity)
The slope of a line containing two points

25. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
As equations
Y=IxI
f of g and g of f

26. What is the formula for to calculate the difference of a quotient function?
(-infinity - +infinity)
Equation of a line
f(x+h)-f(x)/h h cannot equal zero
The first set of components of an ordered pair

27. How do you graph Ax+By+C=0?
down
f(x)=suare root of x
Set the x and y to zero and get the intercepts and then plot the points
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

28. Is the square root function odd - even or neither?
The first set of components of an ordered pair
parabola - up one and right three
Y= then enter the number then press graph
neither

29. What is the range of the cube root function?
(-infinity - +infinity)
horizontal left
(-infinity - 0]U[0 - +infinity)
f(x+h)-f(x)/h h cannot equal zero

30. What type of slope do horizontal lines have?
f(x)=suare root of x
same
Piecewise
m

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

32. What is the range for a standard quadratic function?
horizontal right
1 -2 -3
The single number y=
(-infinity - 0]U[0 - +infinity)

33. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic

34. What type of line is an identity function?
parraelle line
1 -2 -3
45 degree angle
x = the original sale price and the formula is x - .40x =$276

35. What is a constant function?
f(x^1)=f(x^2)
same
horizontal
Cannot be drawn in quizlet

36. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
f(x)=+c and f(x)-c
Change in y / change in x = rise / run = y2-y1 / x2-x1
parraelle line

37. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
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.
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x)=IxI
parabola - up one and right three

38. Is a standard quadratic function even - odd or neither?
f(x^1)=f(x^2)
Line ascending to the right gradually
(f+g) - (f-g) - (fg) - (f/g) all of x
even

39. What shape is the standard quadratic function?
Yes - all the domains points to one range
Yes because two x's or domains can point to one y
As equations
parabola

40. What is the domain and range of a constant function?
[0 -+infinity)
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)
function notation

41. What are the calculator instructions for the standard cubic function?
in a quotient
parraelle line
Line ascending to the right gradually
x math 3 graph

42. Two vertical lines side by side are a symbol for what
Y=x - identity function
parraelle line
(-infinity - +infinity)
horizontal

43. What are the four steps for solving a linear equation?
f(x+c) and f(x-c)
Y=x - identity 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.
x math 3 graph

44. What is the point slope formula and when do you use it?
postiive slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
A V
even

45. What is a function?
down
The single number y=
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(f+g) - (f-g) - (fg) - (f/g) all of x

46. What is a relation?
C>1 - horizontal shrinking
Approach neg toward x through zero and above positive close to x
Three odd - cube root - identity - standard cubic
Any set of ordered pairs

47. What is the domain of the cube root function?
(-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
The secant line
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

48. What is the range of a square root function?
20+.05x=5+.10x x=minutes
4 -6 -9
Y
[0 -+infinity)

49. Standard absolute value - vertical shift formulas for positve and negative
Yes - all the domains points to one range
f(x)=+c and f(x)-c
perpendicular line
f(x+h)-f(x)/h h cannot equal zero

50. In an identity function if f(10)=x than what is y?
Y=10
Yes because two x's or domains can point to one y
undefined
odd