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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. Is an identity function even - odd or neither?
Odd
Neither
Undefined slope
In a quotient

2. 4(x-7)=4x-28 is what type of an equation?
Absolute Value - Constant and Standard Quadratic
[0 -+infinity)
Piecewise
Identity

3. What does the square root function look like on a graph?
Function notation
Even
Line ascending to the right gradually
Yes because two x's or domains can point to one y

4. What is the formula for slope?
(-infinity - 0]you[0 - +infinity)
As equations
Change in y / change in x = rise / run = y2-y1 / x2-x1
Mirror image neg quadrant to that of the positive quandrant

5. What is the range of an identity function?
2nd catalog (zero key -) abs(x) - graph
Yes - all the domains points to one range
Yes - all the domains points to one range
(-infinity - +infinity)

6. How would this formula move f(x)=(x+1)^2-3
X = the original sale price and the formula is x - .40x =$276
Parabola - up one and right three
F of g and g of f
Negative inverse

7. What is a range?
Horizontal right
The second set of components of an ordered pair
The minimum or maximum points
Approach neg toward x through zero and above positive close to x

8. What are the calculator instructions for the cube root function?
Y=x - identity function
Math 4 x - graph
Y=b
Cannot be drawn in quizlet

9. How do you graph Ax+By+C=0?
When does a graph not define y as a function of x?
Set the x and y to zero and get the intercepts and then plot the points
Change in y / change in x = rise / run = y2-y1 / x2-x1
Piecewise

10. Why can h not equal zero in the difference of a quotient function formula?
Parabola
Because the demintor of a quotient can never equal zero
Undefined slope
F(x)=suare root of x

11. Two vertical lines side by side are a symbol for what
Y=x^2 - graph
F(x)=suare root of x
F(x)=+c and f(x)-c
Parraelle line

12. What type of line is an identity function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x)=+c and f(x)-c
45 degree angle
Cannot be drawn in quizlet

13. What is the formula for the square root function?
F(x+h)-f(x)/h h cannot equal zero
Set the x and y to zero and get the intercepts and then plot the points
F(x)=+c and f(x)-c
F(x)=suare root of x

14. Is a constant function even - odd or neither?
Even
Same
Postiive slope
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

15. Is the square root function odd - even or neither?
(-infinity - +infinity)
(-infinity - +infinity)
Neither
Identity

16. How many domains can you have pointing to one range?
As many as you like
Yes because two x's or domains can point to one y
45 degree angle
Change in y / change in x = rise / run = y2-y1 / x2-x1

17. 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
(-infinity - 0]you[0 - +infinity)
Horizontal left
As many as you like

18. What is a relation?
When does a graph not define y as a function of x?
F(x+h)-f(x)/h h cannot equal zero
Any set of ordered pairs
[0 -+infinity)

19. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
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
M
As many as you like

20. What does the absolute value function look like?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
A V
Even
Y=b

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

22. What is the formula for an identity function?
(-infinity - +infinity)
F(x) = x
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

23. What is the domain of a square root function?
Postiive slope
[0 -+infinity)
(-infinity - +infinity)
Line ascending to the right gradually

24. What is the formula in both horizontal stretching and horizontal shrinking?
F(x2)-f(x1) / x2-x1
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Even
A line passing through two distinct points

25. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Any set of ordered pairs
The minimum or maximum points

26. In an identity function if f(10)=x than What is y?
2nd key - x^2 - graph
Y=10
F(x)=IxI
X^2

27. How do you calculate a constant function in your calculator?
Math 4 x - graph
(-infinity - 0]you[0 - +infinity)
Y= then enter the number then press graph
C>1 - horizontal shrinking

28. What does the average rate of change formula solve?
The slope of a line containing two points
F of g and g of f
(-infinity - +infinity)
Even

29. What is the domain of the cube root function?
Inconsistant
Y=IxI
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

30. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Parabola - up one and right three
Perpendicular line
No because you cannot have one domain pointing at two y's or ranges

31. $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?
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
Horizontal
F(x)=x^3
X2-x1 because the demonaitor of a quotient can never equal zero

32. What does the square root function look like on a graph?
The opposite coordinates
A V
Undefined
Line ascending to the right gradually

33. What is the range of a square root function?
[0 -+infinity)
Yes - all the domains points to one range
The minimum or maximum points
2nd catalog (zero key -) abs(x) - graph

34. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
(-infinity - +infinity)
Neither
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

35. What is the slope of a perpendicular line?
Up
Negative inverse
Same
Inconsistant

36. What type of slope do horizontal lines have?
X math 3 graph
Same
(-infinity - +infinity)
(-infinity - +infinity)

37. Draw or discuss an increasing function
The opposite coordinates
Y=x^2 - graph
(-infinity - +infinity)
Cannot be drawn in quizlet

38. What is the range for the standard cubic function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Even
Function notation
(-infinity - +infinity)

39. x=all real numbers is what type of an equation?
[0 -+infinity)
Identity
Mirror image neg quadrant to that of the positive quandrant
The second set of components of an ordered pair

40. Two vertical lines side by side are a symbol for what
2nd key - x^2 - graph
Conditional
Absolute Value - Constant and Standard Quadratic
Parraelle line

41. What type of slope do vertical lines have?
Same
Undefined
Even
Odd

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

43. Is the square root function odd - even or neither?
M
2nd key - x^2 - graph
Neither
As many as you like

44. Which direction does f(x)=+c move in standard absolute value formula?
Horizontal left
Up
Y=10
(-infinity - +infinity)

45. What does the standard cubic function look like on a graph?
Negative inverse
Horizontal left
4 -6 -9
Mirror image neg quadrant to that of the positive quandrant

46. What is the domain and range of a constant function?
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.
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1
Absolute Value - Constant and Standard Quadratic

47. x= a real number is what type of equation?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Neither
Conditional
Inconsistant

48. What is a function?
Horizontal
Y=IxI
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(f+g) - (f-g) - (fg) - (f/g) all of x

49. What is the vertex?
In a quotient
Cannot be drawn in quizlet
The minimum or maximum points
F(x+h)-f(x)/h h cannot equal zero

50. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Up
X math 3 graph
Y= then enter the number then press graph