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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 is the average rate of change formula?
Math 4 x - graph
M
Any set of ordered pairs
F(x2)-f(x1) / x2-x1

2. What type of slope do you have when m=? and the line is vertical?
F(x)=x^3
Yes - all the domains points to one range
Yes because two x's or domains can point to one y
Undefined slope

3. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Approach neg toward x through zero and above positive close to x
The single number y=
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

4. Which direction does f(x+c) move
4 -6 -9
Horizontal left
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)

5. What is another way to write f(x)=x - what type of function is this?
The minimum or maximum points
Parraelle line
Y=x - identity function
As many as you like

6. What is the formula for an identity function?
As equations
F(x) = x
A line passing through two distinct points
Function notation

7. What is the formula for an absolute value function?
Conditional
F(x)=IxI
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Y= then enter the number then press graph

8. What can never equal zero in the slope formula and why?
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero
F(x+c) and f(x-c)
Negative inverse

9. What is slope?
Undefined
Up
A line passing through two distinct points
(-infinity - +infinity)

10. Is a constant function even - odd or neither?
Because the demintor of a quotient can never equal zero
Even
Y=x^2 - graph
F(x)=+c and f(x)-c

11. What is a 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% = $6000
C>1 - horizontal shrinking
The second set of components of an ordered pair
X=a

12. What is the range of the constant function?
The single number y=
(-infinity - +infinity)
X^2
Postiive slope

13. What is the range of the constant function?
As equations
Because the demintor of a quotient can never equal zero
The single number y=
Odd

14. What is the domain for a standard quadratic function?
(-infinity - +infinity)
The secant line
Undefined slope
X^2

15. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
4 -6 -9
Parabola
X=a
Change in y / change in x = rise / run = y2-y1 / x2-x1

16. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
2nd key - x^2 - graph
X2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet

17. When is the only time (-infinity - +infinity) is not the domain?
F(x)=+c and f(x)-c
M
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
In a quotient

18. What is the range of the cube root function?
Perpendicular line
1 -2 -3
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic

19. What can we substitute for f(x)?
Y
The slope of a line containing two points
Identity
F(x)=x^3

20. Which direction does f(x-c) move
Postiive slope
(f+g) - (f-g) - (fg) - (f/g) all of x
Horizontal right
Odd

21. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Mirror image neg quadrant to that of the positive quandrant
1 -2 -3
A V
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.

22. What is a function?
As equations
The single number y=
Line ascending to the right gradually
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

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

24. Which direction does f(x)=+c move in standard absolute value formula?
Cannot be drawn in quizlet
Up
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)

25. What direction does f(x)-c move in standard absolute value formula?
Even
Identity
Down
The secant line

26. What is the range of a square root function?
[0 -+infinity)
(-infinity - +infinity)
2nd key - x^2 - graph
Yes because two x's or domains can point to one y

27. What is the slope of a perpendicular line?
Parraelle line
Identity
Negative inverse
Perpendicular line

28. f(x) = x^2+3x+5 - what type of formula is this?
45 degree angle
In a quotient
Change in y / change in x = rise / run = y2-y1 / x2-x1
Function notation

29. What type of slope do you have when the line is horizontal and m=0?
Mirror image neg quadrant to that of the positive quandrant
Change in y / change in x = rise / run = y2-y1 / x2-x1
Zero slope
(-infinity - +infinity)

30. What is another way to write f(x)=x - what type of function is this?
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Piecewise
Y=x - identity function

31. x=all real numbers is what type of an equation?
(-infinity - +infinity)
Undefined
Identity
Equation of a line

32. standard absolute value - vertical shift formulas for positve and negative
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - 0]you[0 - +infinity)
F(x)=+c and f(x)-c
A V

33. What is the range of the cube root function?
(-infinity - +infinity)
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^2
When does a graph not define y as a function of x?

34. When is the only time (-infinity - +infinity) is not the domain?
Mirror image neg quadrant to that of the positive quandrant
In a quotient
Even
A line passing through two distinct points

35. What are the four steps for finding the inverse of a function?
In a quotient
Parabola
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

36. What type of slope do you have when a line falls left to right and m<0?
Negative inverse
Only one
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Negative slope

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

38. What is the vertical line formula?
X=a
Horizontal right
The second set of components of an ordered pair
Y=10

39. What does the graph of the cube root function look like on the graph?
The single number y=
F(x)=IxI
Y= then enter the number then press graph
Approach neg toward x through zero and above positive close to x

40. What are the calculator instructions for the cube 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
Function notation
Math 4 x - graph
A line passing through two distinct points

41. 4(x-7)=4x-28 is what type of an equation?
Y=b
Identity
Y=x^2 - graph
No because you cannot have one domain pointing at two y's or ranges

42. What type of line is a constant function?
Horizontal
Odd
1 -2 -3
Conditional

43. What is a relation?
Only one
Cannot be drawn in quizlet
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Any set of ordered pairs

44. Of the seven of algebra's common graph's how many are neither?
Square Root
Even
X math 3 graph
(-infinity - +infinity)

45. What type of line is an identity function?
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% = $6000
45 degree angle
Horizontal
As many as you like

46. Of the seven of algebra's common graph's how many are odd?
Absolute Value - Constant and Standard Quadratic
Even
Three odd - cube root - identity - standard cubic
Inconsitent

47. What points do you use to plot the inverse on a graph?
The opposite coordinates
Parabola
Parraelle line
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.

48. What type of slope do you have when a line falls left to right and m<0?
0<c<1 - horizontal stretching
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% = $6000
Y=10
Negative slope

49. What shape is the standard quadratic function?
Yes - all the domains points to one range
Parabola
F(x)=suare root of x
F(x)=IxI

50. standard absolute value - horizontal shift formulas for left and right
When does a graph not define y as a function of x?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
20+.05x=5+.10x x=minutes
F(x+c) and f(x-c)