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CLEP College Algebra: Functions

Instructions:

Answer 50 questions in 15 minutes.
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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 would this formula move f(x)=(x+1)^2-3
x2-x1 because the demonaitor of a quotient can never equal zero
parabola - up one and right three
f(x)=x^3
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

2. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
2nd key - x^2 - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
f(x) = x
Conditional

3. What equation does every line have? Discuss the variables.
4 -6 -9
The slope of a line containing two points
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.
(-infinity - +infinity)

4. What is the formula for the standard cubic function?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
f(x)=x^3
f(x2)-f(x1) / x2-x1

5. What is slope?
even
Square Root
Approach neg toward x through zero and above positive close to x
A line passing through two distinct points

6. What is the formula for the square root function?
(f+g) - (f-g) - (fg) - (f/g) all of x
f(x)=suare root of x
postiive slope
The secant line

7. What does the standard cubic function look like on a graph?
perpendicular line
Mirror image neg quadrant to that of the positive quandrant
Three odd - cube root - identity - standard cubic
m

8. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
45 degree angle
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
odd
4 -6 -9

9. What are the steps for solving a word problem?
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^2
(-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.

10. What is another way to write f(x)=x - what type of function is this?
f(x^1)=f(x^2)
x=a
undefined
Y=x - identity function

11. Of the seven of algebra's common graph's how many are odd?
up
Three odd - cube root - identity - standard cubic
inconsistant
f(x2)-f(x1) / x2-x1

12. What are the calculator instructions for a square root function?
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
2nd key - x^2 - graph
inconsitent

13. Is an identity function even - odd or neither?
odd
(-infinity - +infinity)
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
horizontal left

14. What is the formula for an identity function?
Y
x math 3 graph
[0 -+infinity)
f(x) = x

15. What is a relation?
Any set of ordered pairs
no because you cannot have one domain pointing at two y's or ranges
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
Approach neg toward x through zero and above positive close to x

16. 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?
odd
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x+c) and f(x-c)
(-infinity - +infinity)

17. What are the four steps for finding the inverse of a function?
zero slope
(-infinity - 0]U[0 - +infinity)
Approach neg toward x through zero and above positive close to x
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

18. What does linear equation mean?
Y=b
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
Equation of a line
even

19. What is the range of the cube root function?
f(x2)-f(x1) / x2-x1
(-infinity - +infinity)
inconsistant
function notation

20. Standard absolute value - horizontal shift formulas for left and right
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)
f(x+c) and f(x-c)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

21. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
postiive slope
horizontal left
Set the x and y to zero and get the intercepts and then plot the points

22. Draw or discuss a decreasing function
f of g and g of f
Cannot be drawn in quizlet
parabola
even

23. What is the vertical line formula?
(-infinity - +infinity)
4 -6 -9
x=a
x math 3 graph

24. What is the range of the constant function?
math 4 x - graph
up
The single number y=
zero slope

25. What is a domain?
Square Root
Line ascending to the right gradually
The first set of components of an ordered pair
Cannot be drawn in quizlet

26. Which direction does f(x+c) move
Cannot be drawn in quizlet
horizontal left
math 4 x - graph
Y=x - identity function

27. What is the slope intercept formula? Define all the variables.
(-infinity - +infinity)
(-infinity - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f(x+c) and f(x-c)

28. What are two examples of composit functions?
f of g and g of f
Change in y / change in x = rise / run = y2-y1 / x2-x1
A V
[0 -+infinity)

29. What type of slope do you have when m=? and the line is vertical?
even
Three odd - cube root - identity - standard cubic
undefined slope
45 degree angle

30. What is the domain of an identity function?
same
A V
(-infinity - +infinity)
x2-x1 because the demonaitor of a quotient can never equal zero

31. how many ranges can you have for each domain?
only one
horizontal
Y=x - identity function
identity

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

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33. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
down
x^2
Y

34. 4(x-7)=4x-28 is what type of an equation?
horizontal right
inconsistant
f(x2)-f(x1) / x2-x1
identity

35. What does the graph of the cube root function look like on the graph?
f(x)=x^3
identity
Approach neg toward x through zero and above positive close to x
2nd key - x^2 - graph

36. What are the calculator instructions for the cube root function?
Y=x^2 - graph
odd
(-infinity - +infinity)
math 4 x - graph

37. In an identity function if f(10)=x than what is y?
horizontal right
Set the x and y to zero and get the intercepts and then plot the points
Y=10
f(x2)-f(x1) / x2-x1

38. 4x+5x=8x is what type of an equation?
f(x) = x
Yes - all the domains points to one range
Conditional
f(x2)-f(x1) / x2-x1

39. Is an absolute value function even - odd or neither?
Y=IxI
because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet
even

40. What are the calculator instructions for the standard cubic function?
negative inverse
perpendicular line
x math 3 graph
As many as you like

41. Of the seven of algebra's common graph's how many are neither?
A V
Y= then enter the number then press graph
function notation
Square Root

42. What is the range of a square root function?
Y=x^2 - graph
f(x)=IxI
[0 -+infinity)
up

43. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
45 degree angle
(-infinity - 0]U[0 - +infinity)
(-infinity - +infinity)
20+.05x=5+.10x x=minutes

44. What is the vertical line test?
When does a graph not define y as a function of x?
up
Y=10
4 -6 -9

45. What can we substitute for f(x)?
Y
Three odd - cube root - identity - standard cubic
2nd key - x^2 - graph
parabola

46. What is the range of an identity function?
Conditional
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
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

47. Is a standard quadratic function even - odd or neither?
even
f(x)=+c and f(x)-c
odd
horizontal

48. What type of line is a constant function?
Cannot be drawn in quizlet
in a quotient
horizontal
Absolute Value - Constant and Standard Quadratic

49. Draw or discuss a constant function
Y=10
because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet
1 -2 -3

50. What is the point slope formula and when do you use it?
f(x)=suare root of x
Y=x - identity function
x2-x1 because the demonaitor of a quotient can never equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

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CLEP College Algebra: Functions

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