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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 another way of writing the absolute value function?
Y=IxI
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
f(x+h)-f(x)/h h cannot equal zero
perpendicular line

2. What are the calculator instructions for a standard quadratic equation?
(-infinity - +infinity)
neither
Y=x^2 - graph
postiive slope

3. what is the formula for slope?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Change in y / change in x = rise / run = y2-y1 / x2-x1
f(x)=x^3
Y=IxI

4. What is the range of the cube root function?
As equations
even
(-infinity - +infinity)
perpendicular line

5. Draw or discuss an increasing function
postiive slope
(-infinity - +infinity)
f(x)=3 square root x
Cannot be drawn in quizlet

6. x=all real numbers is what type of an equation?
identity
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
Conditional
Line ascending to the right gradually

7. What is the range for a standard quadratic function?
inconsistant
identity
f(x^1)=f(x^2)
(-infinity - 0]U[0 - +infinity)

8. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Line ascending to the right gradually
As many as you like
20+.05x=5+.10x x=minutes

9. What type of slope do you have when a line rises from left to right and m>0?
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
postiive slope
Y
A V

10. What are the four steps for finding the inverse of a function?
[0 -+infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
down
negative inverse

11. What does the graph of the cube root function look like on the graph?
The slope of a line containing two points
Set the x and y to zero and get the intercepts and then plot the points
Approach neg toward x through zero and above positive close to x
20+.05x=5+.10x x=minutes

12. What are the calculator instructions for the standard cubic function?
x math 3 graph
perpendicular line
Y=b
x^2

13. What equation does every line have? Discuss the variables.
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
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.
f of g and g of f
x^2

14. What is the vertical line formula?
x=a
up
parraelle line
same

15. What are the four steps for solving a linear equation?
horizontal left
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.
x math 3 graph

16. Which direction does f(x-c) move
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
horizontal right
The opposite coordinates

17. Which direction does f(x+c) move
45 degree angle
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.
horizontal left
20+.05x=5+.10x x=minutes

18. What is the formula for the standard cubic function?
Y
f(x)=x^3
down
Conditional

19. What is the vertex?
function notation
The minimum or maximum points
same
because the demintor of a quotient can never equal zero

20. What shape is the standard quadratic function?
Cannot be drawn in quizlet
even
f(x)=x^3
parabola

21. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Three odd - cube root - identity - standard cubic
Y= then enter the number then press graph
neither

22. What is the horizontal line formula?
inconsitent
Y=b
(-infinity - +infinity)
Equation of a line

23. What is the range of a square root function?
f(x+c) and f(x-c)
f(x)=+c and f(x)-c
[0 -+infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

24. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up 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
(-infinity - 0]U[0 - +infinity)
20+.05x=5+.10x x=minutes
Piecewise

25. How would this formula move f(x)=(x+1)^2-3
The single number y=
Square Root
Yes because two x's or domains can point to one y
parabola - up one and right three

26. What is a constant function?
f(x^1)=f(x^2)
(-infinity - +infinity)
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
[0 -+infinity)

27. Of the seven of algebra's common graph's how many are neither?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
down
Square Root
postiive slope

28. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Y= then enter the number then press graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=b
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

29. What type of line is a constant function?
Conditional
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
perpendicular line
horizontal

30. Standard absolute value - vertical shift formulas for positve and negative
[0 -+infinity)
f(x)=+c and f(x)-c
f(x)=IxI
negative slope

31. What is a domain?
x math 3 graph
(-infinity - 0]U[0 - +infinity)
f(x)=IxI
The first set of components of an ordered pair

32. How do you graph Ax+By+C=0?
negative slope
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
x is the hours to repair the boat. $1603-532=anwser/63 = x

33. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
parabola - up one and right three
(-infinity - +infinity)
odd

34. In an identity function if f(10)=x than what is y?
Conditional
only one
Y=10
x2-x1 because the demonaitor of a quotient can never equal zero

35. What is the formula for the cube root function?
Y= then enter the number then press graph
f(x)=3 square root x
down
because the demintor of a quotient can never equal zero

36. What are two examples of composit functions?
Piecewise
no because you cannot have one domain pointing at two y's or ranges
f of g and g of f
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

37. What type of slope do horizontal lines have?
Y= then enter the number then press graph
f of g and g of f
horizontal left
same

38. What is an identity function?
45 degree angle
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
x2-x1 because the demonaitor of a quotient can never equal zero

39. A flat line underlining one vertical line is a symbol for
[0 -+infinity)
(-infinity - +infinity)
perpendicular line
Line ascending to the right gradually

40. What does the square root function look like on a graph?
The secant line
45 degree angle
Line ascending to the right gradually
Y

41. What is a function?
down
math 4 x - graph
Y=b
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

42. Of the seven of algebra's common graph's how many are even?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
odd
Absolute Value - Constant and Standard Quadratic
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

43. What direction does f(x)-c move in standard absolute value formula?
identity
parabola - up one and right three
perpendicular line
down

44. What does linear equation mean?
(-infinity - +infinity)
Equation of a line
horizontal left
45 degree angle

45. What is the range for the standard cubic function?
Conditional
because the demintor of a quotient can never equal zero
(-infinity - +infinity)
[0 -+infinity)

46. Two vertical lines side by side are a symbol for what
0<c<1 - horizontal stretching
parraelle line
The slope of a line containing two points
The second set of components of an ordered pair

47. 4(x-7)=4x-28 is what type of an equation?
(-infinity - +infinity)
identity
Conditional
no because you cannot have one domain pointing at two y's or ranges

48. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
[0 -+infinity)
Yes - all the domains points to one range
(-infinity - 0]U[0 - +infinity)
even

49. What is the domain of a square root function?
[0 -+infinity)
no because you cannot have one domain pointing at two y's or ranges
x=a
A V

50. What is the domain of the cube root function?
(-infinity - +infinity)
x=a
same
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.