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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 a function?
The single number y=
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Down

2. What is the range of the constant function?
2nd key - x^2 - graph
(-infinity - +infinity)
Yes - all the domains points to one range
The single number y=

3. What type of line is a constant function?
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)
Horizontal
(-infinity - +infinity)

4. What is the formula for an absolute value function?
Cannot be drawn in quizlet
F(x)=IxI
2nd catalog (zero key -) abs(x) - graph
Inconsitent

5. What is the domain for the standard cubic function?
F(x)=+c and f(x)-c
C>1 - horizontal shrinking
Y=10
(-infinity - +infinity)

6. What is a constant function?
Horizontal left
As equations
F(x^1)=f(x^2)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

7. Is a constant function even - odd or neither?
X=a
Mirror image neg quadrant to that of the positive quandrant
Negative slope
Even

8. What is the point slope formula and when do you use it?
Absolute Value - Constant and Standard Quadratic
F(x^1)=f(x^2)
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

9. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Horizontal left
F(x) = x
Only one
20+.05x=5+.10x x=minutes

10. 4(x-7)=4x+28 is what type of an equation?
Approach neg toward x through zero and above positive close to x
Inconsitent
45 degree angle
Equation of a line

11. What is the domain for an absolute value function?
Inconsitent
Negative slope
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero

12. What is the range for an absolute value function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
Y=IxI
(-infinity - 0]you[0 - +infinity)

13. What is the range for the standard cubic function?
The slope of a line containing two points
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
The second set of components of an ordered pair

14. When is the only time (-infinity - +infinity) is not the domain?
Y=x - identity function
In a quotient
Horizontal left
X math 3 graph

15. What direction does f(x)-c move in standard absolute value formula?
Down
Square Root
Approach neg toward x through zero and above positive close to x
The slope of a line containing two points

16. What is the domain of a square root function?
[0 -+infinity)
The single number y=
F(x+h)-f(x)/h h cannot equal zero
Conditional

17. What is the domain of the cube root function?
X^2
(-infinity - +infinity)
Square Root
2nd catalog (zero key -) abs(x) - graph

18. What is the formula for the square root function?
Identity
Identity
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)=suare root of x

19. What is the slope of a perpendicular line?
Same
(f+g) - (f-g) - (fg) - (f/g) all of x
Negative inverse
Absolute Value - Constant and Standard Quadratic

20. How would this formula move f(x)=(x+1)^2-3
Three odd - cube root - identity - standard cubic
Parabola - up one and right three
Horizontal right
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

21. 4(x-7)=4x-28 is what type of an equation?
Identity
20+.05x=5+.10x x=minutes
Y=x^2 - graph
Undefined

22. Draw or discuss a constant function
X math 3 graph
Cannot be drawn in quizlet
Y= then enter the number then press graph
As many as you like

23. Is the standard cubic function odd - even or neither?
(-infinity - +infinity)
Piecewise
(f+g) - (f-g) - (fg) - (f/g) all of x
Odd

24. Is a constant function even - odd or neither?
Neither
Parabola - up one and right three
Even
Negative slope

25. What type of slope do horizontal lines have?
Y=10
Even
As many as you like
Same

26. Draw or discuss a constant function
The minimum or maximum points
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x^1)=f(x^2)
Cannot be drawn in quizlet

27. What is another way to write f(x)=x - what type of function is this?
Perpendicular line
Y=x - identity function
As many as you like
Y

28. What is the horizontal line formula?
F(x)=suare root of x
Y=x^2 - graph
Y=b
Up

29. Two vertical lines side by side are a symbol for what
(-infinity - 0]you[0 - +infinity)
Parraelle line
Absolute Value - Constant and Standard Quadratic
45 degree angle

30. What is slope?
A line passing through two distinct points
X2-x1 because the demonaitor of a quotient can never equal zero
F(x+h)-f(x)/h h cannot equal zero
4 -6 -9

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

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32. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
(-infinity - +infinity)
Identity
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
Yes - all the domains points to one range

33. What does the standard cubic function look like on a graph?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Mirror image neg quadrant to that of the positive quandrant
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
Inconsistant

34. x=no real numbers is what type of an equation?
The second set of components of an ordered pair
Yes - all the domains points to one range
Inconsistant
Horizontal right

35. In an identity function if f(10)=x than What is y?
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
Y=10
Function notation

36. What is the formula for to calculate the difference of a quotient function?
Y=x^2 - graph
Absolute Value - Constant and Standard Quadratic
Line ascending to the right gradually
F(x+h)-f(x)/h h cannot equal zero

37. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
The first set of components of an ordered pair
Parabola
Only one

38. What is a range?
The second set of components of an ordered pair
No because you cannot have one domain pointing at two y's or ranges
Any set of ordered pairs
Negative inverse

39. How do you graph Ax+By+C=0?
2nd catalog (zero key -) abs(x) - graph
0<c<1 - horizontal stretching
Horizontal left
Set the x and y to zero and get the intercepts and then plot the points

40. What is the range of an identity function?
X = the original sale price and the formula is x - .40x =$276
The slope of a line containing two points
(-infinity - +infinity)
Undefined slope

41. What type of line is an identity function?
(-infinity - +infinity)
Parabola - up one and right three
45 degree angle
Three odd - cube root - identity - standard cubic

42. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=x^2 - graph
F of g and g of f

43. What can we substitute for f(x)?
The second set of components of an ordered pair
Neither
2nd catalog (zero key -) abs(x) - graph
Y

44. What are two examples of composit functions?
Cannot be drawn in quizlet
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The minimum or maximum points
F of g and g of f

45. What does the standard cubic function look like on a graph?
X2-x1 because the demonaitor of a quotient can never equal zero
Mirror image neg quadrant to that of the positive quandrant
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet

46. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
1 -2 -3
(-infinity - +infinity)
Y=10

47. What is an identity function?
Inconsitent
Odd
X is the hours to repair the boat. $1603-532=anwser/63 = x
45 degree angle

48. What is the formula in both horizontal stretching and horizontal shrinking?
Piecewise
Y=IxI
The minimum or maximum points
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

49. Of the seven of algebra's common graph's how many are odd?
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
The second set of components of an ordered pair
Three odd - cube root - identity - standard cubic

50. What is a relation?
(-infinity - +infinity)
F(x)=IxI
Any set of ordered pairs
Horizontal right

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College Algebra Test

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