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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. Draw or discuss a constant function
(f+g) - (f-g) - (fg) - (f/g) all of x
Piecewise
Cannot be drawn in quizlet
Even

2. What is a range?
The minimum or maximum points
F(x+h)-f(x)/h h cannot equal zero
The second set of components of an ordered pair
Parraelle line

3. What are the calculator instructions for absolute value?
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
2nd catalog (zero key -) abs(x) - graph
Undefined slope

4. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet
The secant line
Undefined

5. Draw or discuss a decreasing function
Cannot be drawn in quizlet
2nd catalog (zero key -) abs(x) - graph
Inconsistant
The single number y=

6. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Cannot be drawn in quizlet
45 degree angle
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
F(x+h)-f(x)/h h cannot equal zero

7. What are the calculator instructions for the cube root function?
F(x) = x
Cannot be drawn in quizlet
Math 4 x - graph
Parraelle line

8. What is the domain of an identity function?
Equation of a line
(-infinity - +infinity)
Y=10
Yes because two x's or domains can point to one y

9. What type of function would you use to calculate the most advantageous cell phone plan?
F(x)=x^3
Piecewise
Yes because two x's or domains can point to one y
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.

10. What is the formula in both horizontal stretching and horizontal shrinking?
20+.05x=5+.10x x=minutes
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x)=x^3
F(x)=+c and f(x)-c

11. What is the domain for the standard cubic function?
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
Yes - all the domains points to one range
Inconsistant

12. What type of slope do you have when the line is horizontal and m=0?
A line passing through two distinct points
Negative slope
The opposite coordinates
Zero slope

13. What type of slope do you have when a line rises from left to right and m>0?
The single number y=
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
Postiive slope
0<c<1 - horizontal stretching

14. What is the range of 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
(-infinity - +infinity)
F(x)=3 square root x
Three odd - cube root - identity - standard cubic

15. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Postiive slope
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
4 -6 -9
Conditional

16. Which direction does f(x)=+c move in standard absolute value formula?
F(x) = x
Up
F(x+h)-f(x)/h h cannot equal zero
Equation of a line

17. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Neither
Horizontal
Postiive slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

18. What is the average rate of change formula?
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
Even
F(x2)-f(x1) / x2-x1
Postiive slope

19. What is the horizontal line formula?
Mirror image neg quadrant to that of the positive quandrant
Y=b
2nd key - x^2 - graph
Parraelle line

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

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21. standard absolute value - vertical shift formulas for positve and negative
Even
F(x)=+c and f(x)-c
Only one
Perpendicular line

22. What is the standard quadratic function?
When does a graph not define y as a function of x?
Zero slope
X^2
Even

23. What is the vertical line test?
A V
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
When does a graph not define y as a function of x?
F(x)=IxI

24. What is the domain of a square root function?
Y=b
Undefined slope
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
[0 -+infinity)

25. What is the formula for slope?
(-infinity - 0]you[0 - +infinity)
Inconsitent
F(x)=suare root of x
Change in y / change in x = rise / run = y2-y1 / x2-x1

26. What is slope?
F(x) = x
Horizontal
A line passing through two distinct points
No because you cannot have one domain pointing at two y's or ranges

27. Which direction does f(x-c) move
(-infinity - +infinity)
Horizontal right
Up
The slope of a line containing two points

28. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Down
X^2
The secant line
(-infinity - +infinity)

29. What type of slope do you have when the line is horizontal and m=0?
Zero slope
Y=x - identity function
The single number y=
F(x)=3 square root x

30. What is a function?
45 degree angle
Even
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
As equations

31. What is the standard quadratic function?
Parabola
(-infinity - +infinity)
X^2
X=a

32. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Only one
F(x+h)-f(x)/h h cannot equal zero
1 -2 -3
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

33. What can never equal zero in the slope formula and why?
Absolute Value - Constant and Standard Quadratic
Function notation
M
X2-x1 because the demonaitor of a quotient can never equal zero

34. f(x) = x^2+3x+5 - what type of formula is this?
Cannot be drawn in quizlet
The opposite coordinates
Function notation
F(x2)-f(x1) / x2-x1

35. What type of slope do horizontal lines have?
(-infinity - 0]you[0 - +infinity)
M
Absolute Value - Constant and Standard Quadratic
Same

36. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
F of g and g of f
Cannot be drawn in quizlet
(-infinity - +infinity)
1 -2 -3

37. What is the formula for the cube root function?
Y=x - identity function
X^2
F(x)=3 square root x
C>1 - horizontal shrinking

38. What is the formula for the cube root function?
Inconsitent
Equation of a line
Y
F(x)=3 square root x

39. What are two examples of composit functions?
45 degree angle
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero
F of g and g of f

40. Is an absolute value function even - odd or neither?
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
Function notation
The minimum or maximum points
Even

41. y=f(cx) What does this formula represent?
Y
Parabola
45 degree angle
0<c<1 - horizontal stretching

42. What type of slope do horizontal lines have?
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
Y=IxI
Mirror image neg quadrant to that of the positive quandrant
Same

43. What is the domain and range of a constant function?
(-infinity - +infinity)
C>1 - horizontal shrinking
Y
Y=10

44. y=f(cx) - What does this formula represent?
Absolute Value - Constant and Standard Quadratic
Horizontal
Odd
C>1 - horizontal shrinking

45. What is the letter used to represent slope?
The single number y=
M
As many as you like
Parabola - up one and right three

46. How do you graph Ax+By+C=0?
The opposite coordinates
Conditional
In a quotient
Set the x and y to zero and get the intercepts and then plot the points

47. What does the average rate of change formula solve?
(f+g) - (f-g) - (fg) - (f/g) all of x
Y=x^2 - graph
The slope of a line containing two points
No because you cannot have one domain pointing at two y's or ranges

48. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
Even
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F of g and g of f

49. What is the letter used to represent slope?
20+.05x=5+.10x x=minutes
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Even
M

50. What is slope?
Because the demintor of a quotient can never equal zero
Horizontal right
A line passing through two distinct points
Equation of a line