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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. A. $20 +.05 per min B. $5 +.10 per min - what is x and how do you set up the formula?
Yes because two x's or domains can point to one y
f(x^1)=f(x^2)
20+.05x=5+.10x x=minutes
The first set of components of an ordered pair

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

3. what is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
The minimum or maximum points
(-infinity - +infinity)

4. how many domains can you have pointing to one range?
parraelle line
As many as you like
Conditional
f(x)=+c and f(x)-c

5. What is the vertex?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The minimum or maximum points
Change in y / change in x = rise / run = y2-y1 / x2-x1
inconsistant

6. What is a relation?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Y
(-infinity - +infinity)
Any set of ordered pairs

7. What is the domain for an absolute value function?
Y= then enter the number then press graph
even
f(x)=3 square root x
(-infinity - +infinity)

8. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
(-infinity - +infinity)
f of g and g of f
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
inconsitent

9. What can we substitute for f(x)?
(-infinity - 0]U[0 - +infinity)
Y
zero slope
(-infinity - +infinity)

10. 4(x-7)=4x-28 is what type of an equation?
Y= then enter the number then press graph
x math 3 graph
identity
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

11. Standard absolute value - vertical shift formulas for positve and negative
Conditional
Line ascending to the right gradually
horizontal left
f(x)=+c and f(x)-c

12. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)

13. 4(x-7)=4x+28 is what type of an equation?
inconsitent
only one
Y= then enter the number then press graph
identity

14. x=no real numbers is what type of an equation?
Y=IxI
horizontal
inconsistant
Square Root

15. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
because the demintor of a quotient can never equal zero
inconsistant
(-infinity - +infinity)

16. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
(-infinity - +infinity)
[0 -+infinity)
Mirror image neg quadrant to that of the positive quandrant

17. What is the range for a standard quadratic function?
f(x)=x^3
f(x)=IxI
f(x)=3 square root x
(-infinity - 0]U[0 - +infinity)

18. What is the vertical line test?
x2-x1 because the demonaitor of a quotient can never equal zero
When does a graph not define y as a function of x?
negative inverse
f(x)=suare root of x

19. What are the calculator instructions for the cube root 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
math 4 x - graph
undefined

20. What is the range for the standard cubic function?
Y=IxI
f(x+c) and f(x-c)
Square Root
(-infinity - +infinity)

21. What is the range of an identity function?
When does a graph not define y as a function of x?
Cannot be drawn in quizlet
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)

22. Which direction does f(x+c) move
x^2
f(x)=x^3
Change in y / change in x = rise / run = y2-y1 / x2-x1
horizontal left

23. What does the square root function look like on a graph?
Piecewise
Line ascending to the right gradually
postiive slope
(-infinity - +infinity)

24. How are functions normally written?
Absolute Value - Constant and Standard Quadratic
When does a graph not define y as a function of x?
Cannot be drawn in quizlet
As equations

25. What is the domain for the standard cubic function?
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
Y= then enter the number then press graph
Change in y / change in x = rise / run = y2-y1 / x2-x1

26. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
down
(-infinity - +infinity)
f(x+c) and f(x-c)

27. What is a function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
zero slope
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
2nd key - x^2 - graph

28. What does linear equation mean?
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
Equation of a 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.
function notation

29. 4x+5x=8x is what type of an equation?
4 -6 -9
Conditional
horizontal
x math 3 graph

30. What is another way of writing the absolute value function?
Y=IxI
Set the x and y to zero and get the intercepts and then plot the points
x=a
Y=b

31. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Absolute Value - Constant and Standard Quadratic
The secant line
Equation of a line
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

32. What is the formula for the standard cubic function?
up
The slope of a line containing two points
As equations
f(x)=x^3

33. What is the formula for an absolute value function?
20+.05x=5+.10x x=minutes
x^2
f(x)=IxI
Mirror image neg quadrant to that of the positive quandrant

34. What type of slope do you have when m=? and the line is vertical?
f(x) = x
undefined slope
f(x)=x^3
[0 -+infinity)

35. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
neither
The opposite coordinates
function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

36. What is the average rate of change formula?
because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet
parabola - up one and right three
f(x2)-f(x1) / x2-x1

37. What are the four steps for finding the inverse of a function?
horizontal left
Yes - all the domains points to one range
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
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

38. Of the seven of algebra's common graph's how many are odd?
function notation
Three odd - cube root - identity - standard cubic
Approach neg toward x through zero and above positive close to x
0<c<1 - horizontal stretching

39. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Square Root
horizontal
f(x+c) and f(x-c)

40. f(x) = x^2+3x+5 - what type of formula is this?
The single number y=
negative inverse
Yes - all the domains points to one range
function notation

41. Two vertical lines side by side are a symbol for what
parraelle line
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
identity
Piecewise

42. 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
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(x) = x
parabola - up one and right three

43. What type of line is a constant function?
horizontal
Conditional
zero slope
x2-x1 because the demonaitor of a quotient can never equal zero

44. What equation does every line have? Discuss the variables.
parabola
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.
divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
parabola - up one and right three

45. What is the range of a square root function?
[0 -+infinity)
Set the x and y to zero and get the intercepts and then plot the points
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)

46. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
undefined
no because you cannot have one domain pointing at two y's or ranges
perpendicular line

47. What is a domain?
The first set of components of an ordered pair
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
Yes because two x's or domains can point to one y

48. x= a real number is what type of equation?
Conditional
horizontal left
neither
(-infinity - 0]U[0 - +infinity)

49. What are the calculator instructions for a square root function?
f(x)=+c and f(x)-c
The single number y=
2nd key - x^2 - graph
The minimum or maximum points

50. Why can h not equal zero in the difference of a quotient function formula?
(-infinity - +infinity)
up
because the demintor of a quotient can never equal zero
Y=x^2 - graph