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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 is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Mirror image neg quadrant to that of the positive quandrant
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
horizontal left

2. What is an identity function?
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
45 degree angle
odd
negative inverse

3. What are the calculator instructions for the standard cubic function?
x math 3 graph
Y=10
Any set of ordered pairs
Set the x and y to zero and get the intercepts and then plot the points

4. What type of line is an identity function?
45 degree angle
The opposite coordinates
no because you cannot have one domain pointing at two y's or ranges
f of g and g of f

5. x= a real number is what type of equation?
(-infinity - +infinity)
x^2
Conditional
parabola

6. How would this formula move f(x)=(x+1)^2-3
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
Cannot be drawn in quizlet
parabola - up one and right three

7. What is the formula for the standard cubic function?
Piecewise
2nd catalog (zero key -) abs(x) - graph
f(x)=x^3
odd

8. Is the square root function odd - even or neither?
C>1 - horizontal shrinking
(-infinity - +infinity)
neither
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.

9. What is the formula in both horizontal stretching and horizontal shrinking?
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
[0 -+infinity)
odd
f(x) = x

10. What is another way to write f(x)=x - what type of function is this?
(-infinity - +infinity)
Y=x - identity function
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
in a quotient

11. What is the formula for an identity function?
odd
Equation of a line
even
f(x) = x

12. What is a relation?
20+.05x=5+.10x x=minutes
(-infinity - +infinity)
The minimum or maximum points
Any set of ordered pairs

13. What is the range of the cube root function?
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
parraelle line
Cannot be drawn in quizlet

14. A flat line underlining one vertical line is a symbol for
identity
(-infinity - +infinity)
only one
perpendicular line

15. 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?
[0 -+infinity)
The second set of components of an ordered pair
Square Root
x is the hours to repair the boat. $1603-532=anwser/63 = x

16. What is the vertex?
C>1 - horizontal shrinking
2nd catalog (zero key -) abs(x) - graph
The minimum or maximum points
f(x+h)-f(x)/h h cannot equal zero

17. What type of slope do you have when the line is horizontal and m=0?
f(x+c) and f(x-c)
zero slope
Mirror image neg quadrant to that of the positive quandrant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

18. What does the average rate of change formula solve?
The slope of a line containing two points
Y=10
As many as you like
inconsitent

19. $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?
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
Conditional
(f+g) - (f-g) - (fg) - (f/g) all of x
x^2

20. What shape is the standard quadratic function?
parabola
math 4 x - graph
(-infinity - +infinity)
x=a

21. What does linear equation mean?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
Equation of a line

22. What is a domain?
even
The first set of components of an ordered pair
2nd key - x^2 - graph
[0 -+infinity)

23. In an identity function if f(10)=x than what is y?
parabola
Y
because the demintor of a quotient can never equal zero
Y=10

24. What is the range for a standard quadratic function?
Absolute Value - Constant and Standard Quadratic
The slope of a line containing two points
horizontal right
(-infinity - 0]U[0 - +infinity)

25. What does the square root function look like on a graph?
Line ascending to the right gradually
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
The first set of components of an ordered pair
(-infinity - +infinity)

26. What is the formula for the cube root function?
f(x)=3 square root x
C>1 - horizontal shrinking
(-infinity - 0]U[0 - +infinity)
up

27. What type of slope do you have when a line rises from left to right and m>0?
postiive slope
The second set of components of an ordered pair
(-infinity - +infinity)
Yes - all the domains points to one range

28. Which direction does f(x-c) move
Conditional
horizontal right
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

29. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
f of g and g of f
same
4 -6 -9
parabola - up one and right three

30. What is the domain of a square root function?
f(x)=+c and f(x)-c
[0 -+infinity)
A V
45 degree angle

31. what can never equal zero in the slope formula and why?
Approach neg toward x through zero and above positive close to x
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.
x2-x1 because the demonaitor of a quotient can never equal zero
1 -2 -3

32. What is a function?
x=a
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Square Root
As equations

33. 4(x-7)=4x-28 is what type of an equation?
x2-x1 because the demonaitor of a quotient can never equal zero
horizontal left
identity
Any set of ordered pairs

34. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
zero slope
[0 -+infinity)
x2-x1 because the demonaitor of a quotient can never equal zero

35. What are the algebra of functions?
f(x)=3 square root x
(f+g) - (f-g) - (fg) - (f/g) all of x
20+.05x=5+.10x x=minutes
Cannot be drawn in quizlet

36. 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.
Equation of a line
(-infinity - +infinity)
inconsistant

37. Of the seven of algebra's common graph's how many are neither?
Square Root
[0 -+infinity)
f(x)=3 square root x
math 4 x - graph

38. x=no real numbers is what type of an equation?
(-infinity - +infinity)
horizontal right
odd
inconsistant

39. Of the seven of algebra's common graph's how many are even?
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
because the demintor of a quotient can never equal zero
m

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

41. What is the average rate of change formula?
Y=x - identity function
f(x2)-f(x1) / x2-x1
f(x+h)-f(x)/h h cannot equal zero
undefined slope

42. f(x) = x^2+3x+5 - what type of formula is this?
function notation
x2-x1 because the demonaitor of a quotient can never equal zero
neither
The first set of components of an ordered pair

43. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
20+.05x=5+.10x x=minutes
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
A V

44. What are the calculator instructions for absolute value?
Cannot be drawn in quizlet
f(x)=x^3
Yes - all the domains points to one range
2nd catalog (zero key -) abs(x) - graph

45. When is the only time (-infinity - +infinity) is not the domain?
undefined
2nd key - x^2 - graph
A line passing through two distinct points
in a quotient

46. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
As many as you like
Y=x - identity function
The opposite coordinates

47. What does the absolute value function look like?
horizontal left
A V
Absolute Value - Constant and Standard Quadratic
Y=10

48. Draw or discuss a decreasing function
Cannot be drawn in quizlet
horizontal
A V
(-infinity - +infinity)

49. What is the domain for the standard cubic function?
(-infinity - +infinity)
The opposite coordinates
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
math 4 x - graph

50. What type of slope do you have when a line falls left to right and m<0?
4 -6 -9
negative slope
undefined slope
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.