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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 are functions normally written?
Approach neg toward x through zero and above positive close to x
As equations
no because you cannot have one domain pointing at two y's or ranges
x=a

2. What is the range of an identity function?
odd
odd
x=a
(-infinity - +infinity)

3. A flat line underlining one vertical line is a symbol for
perpendicular line
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.
As many as you like
parabola - up one and right three

4. Which direction does f(x)=+c move in standard absolute value formula?
identity
up
postiive slope
undefined slope

5. how many ranges can you have for each domain?
only one
f(x+h)-f(x)/h h cannot equal zero
Y=x^2 - graph
parraelle line

6. What is the vertical line test?
up
Absolute Value - Constant and Standard Quadratic
When does a graph not define y as a function of x?
2nd key - x^2 - graph

7. Of the seven of algebra's common graph's how many are odd?
f of g and g of f
inconsistant
Three odd - cube root - identity - standard cubic
20+.05x=5+.10x x=minutes

8. What is the slope intercept formula? Define all the variables.
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.
2nd catalog (zero key -) abs(x) - graph
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
x = the original sale price and the formula is x - .40x =$276

9. What is the standard quadratic function?
Mirror image neg quadrant to that of the positive quandrant
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
x^2
x2-x1 because the demonaitor of a quotient can never equal zero

10. x=no real numbers is what type of an equation?
parabola - up one and right three
inconsistant
perpendicular line
only one

11. What are the four steps for solving a linear equation?
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(x)=x^3
even
math 4 x - graph

12. Standard absolute value - vertical shift formulas for positve and negative
f(x)=+c and f(x)-c
Cannot be drawn in quizlet
(-infinity - +infinity)
Square Root

13. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
f(x)=+c and f(x)-c
x2-x1 because the demonaitor of a quotient can never equal zero
because the demintor of a quotient can never equal zero
20+.05x=5+.10x x=minutes

14. What type of slope do you have when the line is horizontal and m=0?
even
f(x) = x
zero slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

15. Is a constant function even - odd or neither?
even
perpendicular line
4 -6 -9
neither

16. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
f(x)=suare root of x
Cannot be drawn in quizlet
no because you cannot have one domain pointing at two y's or ranges

17. how many domains can you have pointing to one range?
m
f(x2)-f(x1) / x2-x1
As many as you like
Cannot be drawn in quizlet

18. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
A line passing through two distinct points
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
Cannot be drawn in quizlet
(-infinity - 0]U[0 - +infinity)

19. What is the slope of a perpendicular line?
f(x2)-f(x1) / x2-x1
horizontal right
Y=IxI
negative inverse

20. What can we substitute for f(x)?
up
Y
1 -2 -3
even

21. Draw or discuss an increasing 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.
Cannot be drawn in quizlet
45 degree angle
2nd key - x^2 - graph

22. What is the range for an absolute value function?
(-infinity - 0]U[0 - +infinity)
odd
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
same

23. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
parraelle line
Yes - all the domains points to one range
1 -2 -3
Y=b

24. What is the domain of a square root function?
[0 -+infinity)
Mirror image neg quadrant to that of the positive quandrant
perpendicular line
f(x^1)=f(x^2)

25. What is a function?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
horizontal right
2nd key - x^2 - graph

26. 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?
zero slope
x is the hours to repair the boat. $1603-532=anwser/63 = x
(-infinity - +infinity)
Square Root

27. What are the algebra of functions?
neither
x = the original sale price and the formula is x - .40x =$276
identity
(f+g) - (f-g) - (fg) - (f/g) all of x

28. What is the domain for a standard quadratic function?
undefined
parraelle line
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

29. What does the absolute value function look like?
horizontal
The secant line
A V
(-infinity - +infinity)

30. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
As equations
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

31. Is an absolute value function even - odd or neither?
even
Line ascending to the right gradually
f(x)=3 square root x
4 -6 -9

32. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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
The opposite coordinates

33. What does the average rate of change formula solve?
identity
The slope of a line containing two points
Equation of a line
Y=x - identity function

34. x=all real numbers is what type of an equation?
(-infinity - +infinity)
identity
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.
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

35. what is a range?
The second set of components of an ordered pair
horizontal right
Square Root
f(x) = x

36. Is a standard quadratic function even - odd or neither?
Cannot be drawn in quizlet
The first set of components of an ordered pair
even
20+.05x=5+.10x x=minutes

37. What is the domain of the cube root function?
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
2nd catalog (zero key -) abs(x) - graph
Change in y / change in x = rise / run = y2-y1 / x2-x1

38. What type of slope do vertical lines have?
undefined
Three odd - cube root - identity - standard cubic
Set the x and y to zero and get the intercepts and then plot the points
1 -2 -3

39. Is the square root function odd - even or neither?
x math 3 graph
neither
odd
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

40. What are the calculator instructions for a square root function?
neither
2nd key - x^2 - graph
up
Line ascending to the right gradually

41. What type of line is a constant function?
Square Root
The first set of components of an ordered pair
2nd key - x^2 - graph
horizontal

42. What is the horizontal line formula?
negative inverse
parabola
Y=b
The second set of components of an ordered pair

43. What is a relation?
f(x)=+c and f(x)-c
When does a graph not define y as a function of x?
(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

44. What is the domain and range of a constant function?
(-infinity - +infinity)
Y=10
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.

45. What equation does every line have? Discuss the variables.
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.
odd
negative inverse
The slope of a line containing two points

46. What does the graph of the cube root function look like on the graph?
x2-x1 because the demonaitor of a quotient can never equal zero
even
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)

47. 4(x-7)=4x-28 is what type of an equation?
identity
even
Three odd - cube root - identity - standard cubic
f(x)=x^3

48. What type of slope do you have when m=? and the line is vertical?
even
f(x) = x
undefined slope
odd

49. What does the square root function look like on a graph?
f(x^1)=f(x^2)
Line ascending to the right gradually
Cannot be drawn in quizlet
x = the original sale price and the formula is x - .40x =$276

50. What is the vertex?
The first set of components of an ordered pair
The minimum or maximum points
A V
Yes - all the domains points to one range