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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?
Even
Piecewise
Only one
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

2. What points do you use to plot the inverse on a graph?
(-infinity - +infinity)
The opposite coordinates
Square Root
(-infinity - +infinity)

3. What is the average rate of change formula?
Because the demintor of a quotient can never equal zero
Cannot be drawn in quizlet
Function notation
F(x2)-f(x1) / x2-x1

4. What are the four steps for finding the inverse of a function?
Y=x^2 - graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
4 -6 -9
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

5. What is the domain for the standard cubic function?
Yes - all the domains points to one range
The single number y=
Mirror image neg quadrant to that of the positive quandrant
(-infinity - +infinity)

6. What is the formula in both horizontal stretching and horizontal shrinking?
Postiive slope
Undefined slope
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

7. What is the range of the constant function?
Only one
A line passing through two distinct points
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The single number y=

8. standard absolute value - vertical shift formulas for positve and negative
In a quotient
Function notation
Horizontal
F(x)=+c and f(x)-c

9. What does linear equation mean?
Equation of a line
F(x)=IxI
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.
Inconsitent

10. What type of line is an identity function?
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
F(x)=3 square root x
45 degree angle

11. What is another way of writing the absolute value function?
Any set of ordered pairs
A V
The second set of components of an ordered pair
Y=IxI

12. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
4 -6 -9
Y=b
20+.05x=5+.10x x=minutes
F(x)=IxI

13. What type of slope do you have when m=? and the line is vertical?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Undefined slope
Math 4 x - graph
1 -2 -3

14. What is the point slope formula and when do you use it?
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
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x) = x
Postiive slope

15. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
F(x)=x^3
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
X = the original sale price and the formula is x - .40x =$276
45 degree angle

16. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
Up
Absolute Value - Constant and Standard Quadratic
F(x)=+c and f(x)-c

17. What are the steps for solving a word problem?
No because you cannot have one domain pointing at two y's or ranges
Horizontal
X^2
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

18. What is the average rate of change formula?
C>1 - horizontal shrinking
Conditional
F(x2)-f(x1) / x2-x1
Zero slope

19. What is the range of the cube root function?
C>1 - horizontal shrinking
1 -2 -3
Horizontal left
(-infinity - +infinity)

20. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
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.
The single number y=
Undefined

21. What does the graph of the cube root function look like on the graph?
Any set of ordered pairs
Even
In a quotient
Approach neg toward x through zero and above positive close to x

22. What is the range of a square root function?
(-infinity - +infinity)
(-infinity - +infinity)
[0 -+infinity)
45 degree angle

23. Is a standard quadratic function even - odd or neither?
Even
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
4 -6 -9
Conditional

24. What type of slope do you have when the line is horizontal and m=0?
Three odd - cube root - identity - standard cubic
Yes - all the domains points to one range
Zero slope
X2-x1 because the demonaitor of a quotient can never equal zero

25. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
Parabola - up one and right three
The single number y=
Conditional

26. What type of line is an identity function?
Horizontal left
Negative slope
(f+g) - (f-g) - (fg) - (f/g) all of x
45 degree angle

27. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
Horizontal
The minimum or maximum points
(-infinity - +infinity)

28. What is the domain of an identity function?
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
F(x) = x
45 degree angle

29. 4x+5x=8x is what type of an equation?
Line ascending to the right gradually
Conditional
Identity
Horizontal

30. When is the only time (-infinity - +infinity) is not the domain?
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.
In a quotient
Y= then enter the number then press graph
The minimum or maximum points

31. Which direction does f(x)=+c move in standard absolute value formula?
Up
Down
Y= then enter the number then press graph
Parabola - up one and right three

32. What is the formula for an identity function?
F(x) = x
45 degree angle
Y=x - identity function
A line passing through two distinct points

33. What type of slope do you have when a line rises from left to right and m>0?
F(x+h)-f(x)/h h cannot equal zero
2nd key - x^2 - graph
Postiive slope
C>1 - horizontal shrinking

34. In an identity function if f(10)=x than What is y?
Y=10
(-infinity - +infinity)
Parraelle line
Horizontal left

35. How many ranges can you have for each domain?
[0 -+infinity)
45 degree angle
2nd catalog (zero key -) abs(x) - graph
Only one

36. Two vertical lines side by side are a symbol for what
Negative slope
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
Parraelle line
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

37. Is the square root function odd - even or neither?
Neither
Negative slope
Y
(-infinity - 0]you[0 - +infinity)

38. What is the range for the standard cubic function?
(-infinity - +infinity)
Up
M
Negative inverse

39. What direction does f(x)-c move in standard absolute value formula?
Conditional
Square Root
Horizontal left
Down

40. What type of function would you use to calculate the most advantageous cell phone plan?
Postiive slope
Piecewise
(-infinity - 0]you[0 - +infinity)
F(x+c) and f(x-c)

41. What is slope?
Absolute Value - Constant and Standard Quadratic
Line ascending to the right gradually
A line passing through two distinct points
X=a

42. What are the calculator instructions for the standard cubic function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
X math 3 graph
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x)=x^3

43. What is a domain?
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
The first set of components of an ordered pair
Cannot be drawn in quizlet

44. What type of slope do horizontal lines have?
2nd catalog (zero key -) abs(x) - graph
Equation of a line
Same
Yes - all the domains points to one range

45. What shape is the standard quadratic function?
Y=x^2 - graph
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

46. What type of slope do horizontal lines have?
Same
Negative inverse
Y=x - identity function
X math 3 graph

47. What is the range of an identity function?
Cannot be drawn in quizlet
Identity
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero

48. What is the formula for the cube root function?
Odd
Y=IxI
F(x)=3 square root x
(-infinity - +infinity)

49. What is the slope intercept formula? Define all the variables.
Horizontal
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

50. Is an absolute value function even - odd or neither?
When does a graph not define y as a function of x?
Function notation
Even
No because you cannot have one domain pointing at two y's or ranges