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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. Which direction does f(x)=+c move in standard absolute value formula?
parabola
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
up

2. How are functions normally written?
(-infinity - +infinity)
Square Root
f(x)=suare root of x
As equations

3. Standard absolute value - horizontal shift formulas for left and right
(-infinity - +infinity)
undefined
f(x+c) and f(x-c)
identity

4. Draw or discuss a decreasing function
The first set of components of an ordered pair
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.
Cannot be drawn in quizlet
f(x)=3 square root x

5. What is the domain of the cube root function?
(-infinity - +infinity)
f(x)=3 square root x
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

6. What is the domain for an absolute value function?
even
f(x+c) and f(x-c)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

7. What is the domain of a square root function?
identity
[0 -+infinity)
Y=IxI
Y=x^2 - graph

8. how many ranges can you have for each domain?
Equation of a line
(-infinity - +infinity)
only one
Cannot be drawn in quizlet

9. what is the formula for slope?
undefined
Y=IxI
Change in y / change in x = rise / run = y2-y1 / x2-x1
Mirror image neg quadrant to that of the positive quandrant

10. What are the calculator instructions for absolute value?
x^2
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
even

11. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
Y=x - identity function
Conditional
Set the x and y to zero and get the intercepts and then plot the points
20+.05x=5+.10x x=minutes

12. What is the range of an identity function?
2nd key - x^2 - graph
odd
(-infinity - +infinity)
45 degree angle

13. What is another way of writing the absolute value function?
Y=IxI
f(x) = x
in a quotient
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

14. In an identity function if f(10)=x than what is y?
[0 -+infinity)
x = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
Y=10

15. What is the formula in both horizontal stretching and horizontal shrinking?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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
x math 3 graph
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

16. What is the range for a standard quadratic function?
even
undefined
(-infinity - 0]U[0 - +infinity)
f(x)=IxI

17. What are two examples of composit functions?
f of g and g of f
(-infinity - 0]U[0 - +infinity)
horizontal
The slope of a line containing two points

18. Standard absolute value - vertical shift formulas for positve and negative
(-infinity - +infinity)
x is the hours to repair the boat. $1603-532=anwser/63 = x
f(x)=+c and f(x)-c
function notation

19. What is the vertical line formula?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(-infinity - +infinity)
x=a
x^2

20. What type of slope do horizontal lines have?
Change in y / change in x = rise / run = y2-y1 / x2-x1
45 degree angle
same
even

21. What can we substitute for f(x)?
Y
Cannot be drawn in quizlet
undefined slope
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

22. What is the slope of a perpendicular line?
C>1 - horizontal shrinking
negative inverse
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
x^2

23. Draw or discuss an increasing function
identity
Cannot be drawn in quizlet
The minimum or maximum points
(f+g) - (f-g) - (fg) - (f/g) all of x

24. what is a range?
The slope of a line containing two points
undefined
Cannot be drawn in quizlet
The second set of components of an ordered pair

25. what can never equal zero in the slope formula and why?
(f+g) - (f-g) - (fg) - (f/g) all of x
f(x) = x
Yes - all the domains points to one range
x2-x1 because the demonaitor of a quotient can never equal zero

26. What are the calculator instructions for the standard cubic function?
only one
A V
x math 3 graph
x2-x1 because the demonaitor of a quotient can never equal zero

27. What is the domain for a standard quadratic function?
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
1 -2 -3
m

28. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
f(x2)-f(x1) / x2-x1
45 degree angle
because the demintor of a quotient can never equal zero
4 -6 -9

29. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
because the demintor of a quotient can never equal zero
x2-x1 because the demonaitor of a quotient can never equal zero
f(x)=3 square root x
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

30. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
Y= then enter the number then press graph
horizontal
Conditional

31. Which direction does f(x+c) move
The second set of components of an ordered pair
f(x)=+c and f(x)-c
horizontal left
identity

32. Which direction does f(x-c) move
Line ascending to the right gradually
horizontal right
(-infinity - +infinity)
(-infinity - +infinity)

33. What does the average rate of change formula solve?
The slope of a line containing two points
parabola
Any set of ordered pairs
in a quotient

34. When is the only time (-infinity - +infinity) is not the domain?
inconsitent
(-infinity - +infinity)
negative slope
in a quotient

35. What is the formula for the cube root function?
x=a
f(x)=3 square root x
f(x2)-f(x1) / x2-x1
horizontal

36. What is a constant function?
The minimum or maximum points
inconsistant
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(x^1)=f(x^2)

37. How do you calculate a constant function in your calculator?
horizontal
same
f(x)=IxI
Y= then enter the number then press graph

38. Of the seven of algebra's common graph's how many are odd?
parraelle line
Three odd - cube root - identity - standard cubic
f(x) = x
identity

39. What is the formula for the standard cubic function?
negative slope
f(x2)-f(x1) / x2-x1
f(x)=x^3
odd

40. What is the standard quadratic function?
x^2
Conditional
(f+g) - (f-g) - (fg) - (f/g) all of x
undefined

41. Is the standard cubic function odd - even or neither?
Y=b
zero slope
odd
Equation of a line

42. What does the graph of the cube root function look like on the graph?
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
The slope of a line containing two points
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

43. What is the horizontal line formula?
f(x) = x
odd
Y=b
Y=IxI

44. Two vertical lines side by side are a symbol for what
parraelle line
x math 3 graph
(-infinity - +infinity)
The slope of a line containing two points

45. What is another way to write f(x)=x - what type of function is this?
Absolute Value - Constant and Standard Quadratic
Y=x - identity function
f(x2)-f(x1) / x2-x1
Any set of ordered pairs

46. Camera sales price $276 and that is 40% off - what is the original sale price? What does x =?
f(x)=3 square root x
Conditional
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
x = the original sale price and the formula is x - .40x =$276

47. What is a function?
The first set of components of an ordered pair
Conditional
As many as you like
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

48. What equation does every line have? Discuss the variables.
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
function notation
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.
45 degree angle

49. What is slope?
f of g and g of f
Mirror image neg quadrant to that of the positive quandrant
horizontal
A line passing through two distinct points

50. What does the absolute value function look like?
Set the x and y to zero and get the intercepts and then plot the points
A V
2nd key - x^2 - graph
Yes - all the domains points to one range