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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 an increasing function
(-infinity - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
F of g and g of f
Cannot be drawn in quizlet

2. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
Undefined
As many as you like
Inconsitent

3. What is slope?
F(x2)-f(x1) / x2-x1
The single number y=
A line passing through two distinct points
Inconsistant

4. What is the vertical line formula?
Zero slope
Square Root
(-infinity - +infinity)
X=a

5. What is the line called that illustrates the straight line between the two points when showing average rate of change?
X2-x1 because the demonaitor of a quotient can never equal zero
Odd
The secant line
(-infinity - 0]you[0 - +infinity)

6. How many ranges can you have for each domain?
Only one
Y= then enter the number then press graph
The opposite coordinates
Conditional

7. What are the calculator instructions for the standard cubic function?
Parraelle line
X math 3 graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Even

8. standard absolute value - horizontal shift formulas for left and right
(-infinity - +infinity)
F(x+c) and f(x-c)
Y=b
Identity

9. y=f(cx) What does this formula represent?
X is the hours to repair the boat. $1603-532=anwser/63 = x
20+.05x=5+.10x x=minutes
M
0<c<1 - horizontal stretching

10. What are the calculator instructions for absolute value?
As many as you like
Math 4 x - graph
2nd catalog (zero key -) abs(x) - graph
Yes - all the domains points to one range

11. What type of slope do you have when the line is horizontal and m=0?
Inconsitent
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Zero slope
No because you cannot have one domain pointing at two y's or ranges

12. What are the calculator instructions for absolute value?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
2nd catalog (zero key -) abs(x) - graph
Horizontal
0<c<1 - horizontal stretching

13. What is the slope intercept formula? Define all the variables.
Y=IxI
4 -6 -9
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)

14. What is the range of a square root function?
Y= then enter the number then press graph
Undefined slope
[0 -+infinity)
Y=10

15. What is the domain for the standard cubic function?
(-infinity - +infinity)
Up
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
Odd

16. f(x) = x^2+3x+5 - what type of formula is this?
Y=IxI
Function notation
Inconsitent
The minimum or maximum points

17. What is the vertex?
Conditional
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The minimum or maximum points
Parabola - up one and right three

18. What is the formula in both horizontal stretching and horizontal shrinking?
F(x)=IxI
Horizontal
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Cannot be drawn in quizlet

19. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

20. What is an identity function?
45 degree angle
(-infinity - +infinity)
As equations
Y=x^2 - graph

21. What is the formula in both horizontal stretching and horizontal shrinking?
X = the original sale price and the formula is x - .40x =$276
The first set of components of an ordered pair
F(x) = x
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

22. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Cannot be drawn in quizlet
Odd
X = the original sale price and the formula is x - .40x =$276
Change in y / change in x = rise / run = y2-y1 / x2-x1

23. What is the vertex?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Neither
1 -2 -3
The minimum or maximum points

24. What are the calculator instructions for the cube root function?
Postiive slope
Function notation
Math 4 x - graph
Odd

25. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
F(x)=suare root of x
Y
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x)=x^3

26. What type of line is a constant function?
Postiive slope
Horizontal
A line passing through two distinct points
Cannot be drawn in quizlet

27. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Yes - all the domains points to one range
Negative slope
The secant line
F(x^1)=f(x^2)

28. A flat line underlining one vertical line is a symbol for...
Perpendicular line
Negative inverse
Odd
2nd key - x^2 - graph

29. How would this formula move f(x)=(x+1)^2-3
Piecewise
Even
Parabola - up one and right three
The opposite coordinates

30. What does the graph of the cube root function look like on the graph?
The minimum or maximum points
Approach neg toward x through zero and above positive close to x
The secant line
Even

31. How do you calculate a constant function in your calculator?
M
(-infinity - +infinity)
Y= then enter the number then press graph
Up

32. Which direction does f(x)=+c move in standard absolute value 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
Y=10
Up
45 degree angle

33. What is the formula for an absolute value function?
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
X2-x1 because the demonaitor of a quotient can never equal zero
(-infinity - +infinity)
F(x)=IxI

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

35. What are the steps for solving a word problem?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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
The secant line
F(x)=suare root of x

36. What is the formula for the square root function?
20+.05x=5+.10x x=minutes
Postiive slope
The opposite coordinates
F(x)=suare root of x

37. Two vertical lines side by side are a symbol for what
The minimum or maximum points
Parraelle line
(f+g) - (f-g) - (fg) - (f/g) all of x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

38. 4(x-7)=4x-28 is what type of an equation?
A V
Identity
Yes because two x's or domains can point to one y
(-infinity - +infinity)

39. Of the seven of algebra's common graph's how many are odd?
Square Root
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
45 degree angle
Three odd - cube root - identity - standard cubic

40. What can never equal zero in the slope formula and why?
Set the x and y to zero and get the intercepts and then plot the points
X2-x1 because the demonaitor of a quotient can never equal zero
The opposite coordinates
F of g and g of f

41. What does the average rate of change formula solve?
Negative inverse
X = the original sale price and the formula is x - .40x =$276
The slope of a line containing two points
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

42. What is the range of an identity function?
The first set of components of an ordered pair
(-infinity - +infinity)
Math 4 x - graph
A V

43. What is the formula for the cube root function?
Absolute Value - Constant and Standard Quadratic
F(x)=3 square root x
(-infinity - +infinity)
(-infinity - +infinity)

44. What is the range of the constant function?
Yes because two x's or domains can point to one y
Even
Negative inverse
The single number y=

45. What is a range?
The second set of components of an ordered pair
F(x)=suare root of x
Negative slope
Y=b

46. What is the domain for an absolute value function?
Negative inverse
(-infinity - +infinity)
45 degree angle
Cannot be drawn in quizlet

47. What is the range for the standard cubic function?
Y
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
The slope of a line containing two points

48. What is the domain for the standard cubic function?
F(x)=+c and f(x)-c
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Function notation

49. What is the formula for 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
Yes because two x's or domains can point to one y
As equations
F(x) = x

50. What is another way to write f(x)=x - what type of function is this?
The single number y=
Parraelle line
20+.05x=5+.10x x=minutes
Y=x - identity function