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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. Which direction does f(x-c) move
Horizontal right
F(x)=+c and f(x)-c
Because the demintor of a quotient can never equal zero
X = the original sale price and the formula is x - .40x =$276

2. Is an identity function even - odd or neither?
Same
Change in y / change in x = rise / run = y2-y1 / x2-x1
No because you cannot have one domain pointing at two y's or ranges
Odd

3. What is the domain for the standard cubic function?
(-infinity - +infinity)
C>1 - horizontal shrinking
Square Root
Up

4. What is the range for the standard cubic function?
Undefined
Horizontal
(-infinity - +infinity)
When does a graph not define y as a function of x?

5. What shape is the standard quadratic function?
X math 3 graph
Parabola
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
When does a graph not define y as a function of x?

6. What are the four steps for solving a linear equation?
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.
Any set of ordered pairs
Identity
Y=x^2 - graph

7. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
Horizontal
The second set of components of an ordered pair
(-infinity - +infinity)

8. Draw or discuss a decreasing function
Cannot be drawn in quizlet
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
F(x)=suare root of x

9. Is the standard cubic function odd - even or neither?
Conditional
F of g and g of f
Odd
Undefined slope

10. What is the range for a standard quadratic function?
Negative inverse
Y=x - identity function
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - 0]you[0 - +infinity)

11. What does linear equation mean?
X = the original sale price and the formula is x - .40x =$276
The minimum or maximum points
(-infinity - +infinity)
Equation of a line

12. How do you calculate a constant function in your calculator?
F(x)=+c and f(x)-c
Conditional
Y= then enter the number then press graph
Mirror image neg quadrant to that of the positive quandrant

13. What is the range of an identity function?
F(x)=+c and f(x)-c
(-infinity - +infinity)
Postiive slope
Any set of ordered pairs

14. What are the algebra of functions?
Parabola - up one and right three
No because you cannot have one domain pointing at two y's or ranges
F(x)=3 square root x
(f+g) - (f-g) - (fg) - (f/g) all of x

15. Which direction does f(x)=+c move in standard absolute value formula?
Y=x^2 - graph
Piecewise
4 -6 -9
Up

16. Which direction does f(x-c) move
Y=b
Cannot be drawn in quizlet
(-infinity - +infinity)
Horizontal right

17. What does the standard cubic function look like on a graph?
Conditional
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
Function notation

18. Is the square root function odd - even or neither?
Inconsistant
Neither
20+.05x=5+.10x x=minutes
X math 3 graph

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

20. What are two examples of composit functions?
F of g and g of f
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x) = x
(-infinity - 0]you[0 - +infinity)

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

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22. What is the domain and range of a constant function?
Negative inverse
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
When does a graph not define y as a function of x?

23. Draw or discuss an increasing function
Negative slope
Cannot be drawn in quizlet
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)

24. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
Y=10
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
In a quotient

25. What type of line is a constant function?
Horizontal
(-infinity - 0]you[0 - +infinity)
Square Root
F(x)=IxI

26. 4(x-7)=4x-28 is what type of an equation?
[0 -+infinity)
Identity
Y=x - identity function
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

27. What is the domain for an absolute value function?
As many as you like
The minimum or maximum points
The first set of components of an ordered pair
(-infinity - +infinity)

28. What type of slope do horizontal lines have?
Conditional
Same
No because you cannot have one domain pointing at two y's or ranges
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

29. Of the seven of algebra's common graph's how many are neither?
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.
Square Root
Y=b
(-infinity - +infinity)

30. What are two examples of composit functions?
X = the original sale price and the formula is x - .40x =$276
F of g and g of f
[0 -+infinity)
Square Root

31. What is the vertical line test?
Horizontal
When does a graph not define y as a function of x?
Conditional
Parraelle line

32. What is an identity function?
Horizontal right
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F(x)=IxI
45 degree angle

33. What is the standard quadratic function?
Even
Yes because two x's or domains can point to one y
X^2
(-infinity - +infinity)

34. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
F(x)=3 square root x
A V
2nd catalog (zero key -) abs(x) - graph

35. In an identity function if f(10)=x than What is y?
Y=10
The single number y=
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
X is the hours to repair the boat. $1603-532=anwser/63 = x

36. What is the range of a square root function?
[0 -+infinity)
Any set of ordered pairs
F of g and g of f
X math 3 graph

37. y=f(cx) - What does this formula represent?
(-infinity - +infinity)
45 degree angle
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
C>1 - horizontal shrinking

38. What is the domain and range of a constant function?
Because the demintor of a quotient can never equal zero
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - +infinity)
0<c<1 - horizontal stretching

39. What is a relation?
Identity
Any set of ordered pairs
The opposite coordinates
Neither

40. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
F(x)=+c and f(x)-c
(-infinity - +infinity)
Y=10

41. A flat line underlining one vertical line is a symbol for...
Even
Perpendicular line
Horizontal
F(x)=3 square root x

42. What is the range of an identity function?
(-infinity - +infinity)
Cannot be drawn in quizlet
Neither
Function notation

43. Two vertical lines side by side are a symbol for what
Parraelle line
F(x)=IxI
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
Cannot be drawn in quizlet

44. What is the range of a square root function?
Y
[0 -+infinity)
X^2
(-infinity - +infinity)

45. What is the range of the cube root function?
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
M
X=a

46. What type of slope do you have when m=? and the line is vertical?
Undefined slope
Undefined
Conditional
C>1 - horizontal shrinking

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

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48. What is a domain?
(f+g) - (f-g) - (fg) - (f/g) all of x
The first set of components of an ordered pair
X2-x1 because the demonaitor of a quotient can never equal zero
Cannot be drawn in quizlet

49. What does the graph of the cube root function look like on the graph?
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
Yes because two x's or domains can point to one y
F(x)=x^3

50. What are the calculator instructions for absolute value?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Yes because two x's or domains can point to one y
F(x)=x^3
2nd catalog (zero key -) abs(x) - graph