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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 are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
same
Conditional
even

2. What is the domain and range of a constant function?
x=a
Y=b
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)

3. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
identity
2nd catalog (zero key -) abs(x) - graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

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

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

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6. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Conditional
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
A line passing through two distinct points

7. What is the vertex?
(-infinity - +infinity)
Y=IxI
The minimum or maximum points
identity

8. When is the only time (-infinity - +infinity) is not the domain?
4 -6 -9
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
in a quotient
Piecewise

9. What is the point slope formula and when do you use it?
(-infinity - +infinity)
math 4 x - graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
1 -2 -3

10. What is the domain of a square root function?
(-infinity - +infinity)
Equation of a line
[0 -+infinity)
f(x)=+c and f(x)-c

11. 4x+5x=8x is what type of an equation?
negative inverse
(-infinity - +infinity)
Any set of ordered pairs
Conditional

12. What is the horizontal line formula?
The slope of a line containing two points
Y=b
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
identity

13. f(x) = x^2+3x+5 - what type of formula is this?
Y=x - identity function
function notation
As equations
math 4 x - graph

14. What is another way of writing the absolute value function?
x=a
Y=IxI
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.
(-infinity - +infinity)

15. What is an identity function?
45 degree angle
Y=10
The secant line
Any set of ordered pairs

16. 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
identity
(-infinity - +infinity)
f(x)=x^3

17. Of the seven of algebra's common graph's how many are neither?
parabola - up one and right three
Square Root
no because you cannot have one domain pointing at two y's or ranges
negative inverse

18. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
f of g and g of f
1 -2 -3
f(x)=x^3
f(x+c) and f(x-c)

19. What is the vertical line formula?
x=a
x2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet
[0 -+infinity)

20. What type of line is a constant 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(x2)-f(x1) / x2-x1
Absolute Value - Constant and Standard Quadratic
horizontal

21. What is the range of a square root function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
function notation
identity
[0 -+infinity)

22. What does the absolute value function look like?
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
m
A V
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

23. $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?
Square Root
(f+g) - (f-g) - (fg) - (f/g) all 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
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

24. What is the range for the standard cubic function?
parabola
(-infinity - +infinity)
no because you cannot have one domain pointing at two y's or ranges
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

25. Of the seven of algebra's common graph's how many are odd?
odd
Three odd - cube root - identity - standard cubic
math 4 x - graph
inconsistant

26. What is the formula for the standard cubic function?
no because you cannot have one domain pointing at two y's or ranges
horizontal left
f(x)=x^3
The first set of components of an ordered pair

27. What is the range for a standard quadratic function?
odd
(-infinity - 0]U[0 - +infinity)
The first set of components of an ordered pair
even

28. What is the formula for the cube root function?
f(x)=3 square root x
f(x+c) and f(x-c)
odd
because the demintor of a quotient can never equal zero

29. What are the four steps for solving a linear equation?
even
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.
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)

30. What are the calculator instructions for absolute value?
[0 -+infinity)
up
The second set of components of an ordered pair
2nd catalog (zero key -) abs(x) - graph

31. What type of line is a constant function?
identity
down
f(x) = x
horizontal

32. How do you calculate a constant function in your calculator?
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 minimum or maximum points
Y= then enter the number then press graph
Y=x - identity function

33. What does the standard cubic function look like on a graph?
zero slope
Three odd - cube root - identity - standard cubic
Mirror image neg quadrant to that of the positive quandrant
f(x^1)=f(x^2)

34. What is a relation?
even
A line passing through two distinct points
Any set of ordered pairs
4 -6 -9

35. What is the formula for the square root function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
x = the original sale price and the formula is x - .40x =$276
f(x)=suare root of x
The opposite coordinates

36. Which direction does f(x-c) move
Y=x - identity function
horizontal right
f(x+c) and f(x-c)
Y=IxI

37. What is the range of the cube root function?
f(x+h)-f(x)/h h cannot equal zero
Piecewise
(-infinity - +infinity)
Conditional

38. Is a standard quadratic function even - odd or neither?
even
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
f(x)=+c and f(x)-c
(-infinity - 0]U[0 - +infinity)

39. what is the letter used to represent slope?
horizontal
parabola - up one and right three
(-infinity - +infinity)
m

40. What are two examples of composit functions?
odd
same
f of g and g of f
Y= then enter the number then press graph

41. A flat line underlining one vertical line is a symbol for
perpendicular line
x math 3 graph
Y=x^2 - graph
x = the original sale price and the formula is x - .40x =$276

42. how many ranges can you have for each domain?
same
undefined
only one
x=a

43. Is the standard cubic function odd - even or neither?
x2-x1 because the demonaitor of a quotient can never equal zero
odd
Cannot be drawn in quizlet
even

44. What is the formula in both horizontal stretching and horizontal shrinking?
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
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The slope of a line containing two points
(-infinity - +infinity)

45. y=f(cx) what does this formula represent?
The minimum or maximum points
(-infinity - +infinity)
0<c<1 - horizontal stretching
Y

46. What is the vertical line test?
down
When does a graph not define y as a function of x?
Y=10
f of g and g of f

47. Why can h not equal zero in the difference of a quotient function formula?
20+.05x=5+.10x x=minutes
because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet
The first set of components of an ordered pair

48. What type of slope do vertical lines have?
undefined
x is the hours to repair the boat. $1603-532=anwser/63 = x
2nd catalog (zero key -) abs(x) - graph
inconsistant

49. What type of line is an identity function?
f(x) = x
Mirror image neg quadrant to that of the positive quandrant
45 degree angle
negative inverse

50. What are the four steps for finding the inverse of a function?
same
even
horizontal
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse