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College Algebra Test

Subjects : math, algebra

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 type of function would you use to calculate the most advantageous cell phone plan?
(-infinity - +infinity)
Only one
Conditional
Piecewise

2. Is an absolute value function even - odd or neither?
Conditional
Even
The single number y=
Equation of a line

3. What does the absolute value function look like?
Y=x^2 - graph
Odd
A V
M

4. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
Parabola
Y=b
The slope of a line containing two points

5. What is the range of an identity function?
Y=IxI
45 degree angle
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic

6. Which direction does f(x+c) move
Zero slope
1 -2 -3
1 -2 -3
Horizontal left

7. What is the letter used to represent slope?
A V
M
As many as you like
F(x)=x^3

8. What are two examples of composit functions?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F of g and g of f
Yes because two x's or domains can point to one y
Identity

9. What equation does every line have? Discuss the variables.
C>1 - horizontal shrinking
The opposite coordinates
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.
Up

10. 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
F(x2)-f(x1) / x2-x1
In a quotient
A V

11. What is the line called that illustrates the straight line between the two points when showing average rate of change?
X^2
In a quotient
In a quotient
The secant line

12. What is the point slope formula and when do you use it?
0<c<1 - horizontal stretching
As equations
Inconsitent
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

13. Is the standard cubic function odd - even or neither?
Any set of ordered pairs
F(x)=3 square root x
Set the x and y to zero and get the intercepts and then plot the points
Odd

14. What is the vertex?
The second set of components of an ordered pair
The minimum or maximum points
Y=b
(-infinity - +infinity)

15. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Negative slope
Undefined
Y=IxI

16. What type of line is a constant function?
F(x2)-f(x1) / x2-x1
Horizontal
Even
[0 -+infinity)

17. What is the slope intercept formula? Define all the variables.
Equation of a line
M
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

18. What is another way of writing the absolute value function?
F(x)=+c and f(x)-c
Y=IxI
Cannot be drawn in quizlet
M

19. 4(x-7)=4x-28 is what type of an equation?
Because the demintor of a quotient can never equal zero
Identity
Even
Undefined

20. What shape is the standard quadratic function?
When does a graph not define y as a function of x?
Parabola
F(x)=3 square root x
C>1 - horizontal shrinking

21. How are functions normally written?
20+.05x=5+.10x x=minutes
As equations
Y= then enter the number then press graph
Cannot be drawn in quizlet

22. What does the standard cubic function look like on a graph?
(-infinity - 0]you[0 - +infinity)
X = the original sale price and the formula is x - .40x =$276
Mirror image neg quadrant to that of the positive quandrant
Y=IxI

23. 4x+5x=8x is what type of an equation?
X math 3 graph
Conditional
Horizontal
Function notation

24. What is a constant function?
F(x+c) and f(x-c)
F(x^1)=f(x^2)
(-infinity - +infinity)
Y

25. Is a constant function even - odd or neither?
Even
F(x2)-f(x1) / x2-x1
Odd
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

26. What type of line is a constant function?
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Cannot be drawn in quizlet
Horizontal

27. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The second set of components of an ordered pair
(-infinity - +infinity)
Horizontal right

28. What are the calculator instructions for the cube root function?
Math 4 x - graph
C>1 - horizontal shrinking
Set the x and y to zero and get the intercepts and then plot the points
Neither

29. Which direction does f(x-c) move
Y=x - identity function
Undefined slope
(-infinity - +infinity)
Horizontal right

30. x= a real number is what type of equation?
Function notation
Inconsitent
Math 4 x - graph
Conditional

31. What is the range of a square root function?
[0 -+infinity)
Yes because two x's or domains can point to one y
Neither
Perpendicular line

32. What is a function?
(-infinity - +infinity)
F(x)=x^3
[0 -+infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

33. How do you calculate a constant function in your calculator?
F(x^1)=f(x^2)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y= then enter the number then press graph
Zero slope

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

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35. What is the domain for a standard quadratic function?
F(x2)-f(x1) / x2-x1
Horizontal left
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero

36. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
In a quotient
(-infinity - 0]you[0 - +infinity)
Up

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

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38. What is a relation?
As equations
X = the original sale price and the formula is x - .40x =$276
Any set of ordered pairs
Negative inverse

39. What is the domain of a square root function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
[0 -+infinity)
The second set of components of an ordered pair
Approach neg toward x through zero and above positive close to x

40. What are the four steps for finding the inverse of a function?
Mirror image neg quadrant to that of the positive quandrant
F(x^1)=f(x^2)
F(x)=+c and f(x)-c
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

41. What type of line is an identity function?
45 degree angle
The slope of a line containing two points
F(x+h)-f(x)/h h cannot equal zero
Change in y / change in x = rise / run = y2-y1 / x2-x1

42. What equation does every line have? Discuss the variables.
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.
As many as you like
45 degree angle

43. Is the square root function odd - even or neither?
The minimum or maximum points
(-infinity - +infinity)
Inconsistant
Neither

44. What is the range of the cube root function?
Conditional
(f+g) - (f-g) - (fg) - (f/g) all of x
Conditional
(-infinity - +infinity)

45. Of the seven of algebra's common graph's how many are odd?
Identity
Three odd - cube root - identity - standard cubic
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^2

46. What is the vertical line formula?
Yes because two x's or domains can point to one y
X=a
F(x+h)-f(x)/h h cannot equal zero
F(x)=+c and f(x)-c

47. What are the calculator instructions for a standard quadratic equation?
(-infinity - +infinity)
Y=x^2 - graph
Identity
1 -2 -3

48. What does the graph of the cube root function look like on the graph?
Horizontal left
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
Postiive slope

49. What is the domain of an identity function?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
Horizontal left
As many as you like

50. What is the domain for an absolute value function?
Y= then enter the number then press graph
Horizontal
(-infinity - +infinity)
Y=b