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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 the formula for the standard cubic function?
Cannot be drawn in quizlet
F(x)=+c and f(x)-c
Parabola - up one and right three
F(x)=x^3

2. What is the formula in both horizontal stretching and horizontal shrinking?
Horizontal left
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Even
The first set of components of an ordered pair

3. What type of slope do you have when a line rises from left to right and m>0?
(f+g) - (f-g) - (fg) - (f/g) all of x
Up
Postiive slope
Undefined slope

4. What is the letter used to represent slope?
M
Y
A V
F(x)=+c and f(x)-c

5. What is another way of writing the absolute value function?
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
45 degree angle
Y=IxI

6. What is the formula for to calculate the difference of a quotient function?
The secant line
Yes - all the domains points to one range
F(x+h)-f(x)/h h cannot equal zero
The second set of components of an ordered pair

7. What is the slope of a perpendicular line?
Identity
2nd key - x^2 - graph
Negative inverse
Mirror image neg quadrant to that of the positive quandrant

8. What is the domain of the cube root function?
(-infinity - +infinity)
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.
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Conditional

9. Is an identity function even - odd or neither?
Odd
(-infinity - +infinity)
Inconsitent
Up

10. In an identity function if f(10)=x than What is y?
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
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.
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y=10

11. What is the formula for an identity function?
Same
F(x) = x
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

12. 4(x-7)=4x-28 is what type of an equation?
Identity
Any set of ordered pairs
F(x)=3 square root x
4 -6 -9

13. What is the vertical line test?
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
When does a graph not define y as a function of x?
(-infinity - +infinity)

14. 4x+5x=8x is what type of an equation?
Horizontal
Parabola
Conditional
Mirror image neg quadrant to that of the positive quandrant

15. Which direction does f(x+c) move
Horizontal left
F(x)=3 square root x
Yes because two x's or domains can point to one y
No because you cannot have one domain pointing at two y's or ranges

16. When is the only time (-infinity - +infinity) is not the domain?
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
(-infinity - 0]you[0 - +infinity)
Square Root
In a quotient

17. What is the domain of an identity function?
Absolute Value - Constant and Standard Quadratic
Y=IxI
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)

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

19. What type of line is a constant function?
Function notation
Change in y / change in x = rise / run = y2-y1 / x2-x1
Parraelle line
Horizontal

20. What is the vertical line formula?
Horizontal
The slope of a line containing two points
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.
X=a

21. What is the vertical line test?
The second set of components of an ordered pair
2nd key - x^2 - graph
When does a graph not define y as a function of x?
F(x)=suare root of x

22. What is the vertical line 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
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
X=a

23. What does the average rate of change formula solve?
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
The slope of a line containing two points
45 degree angle

24. What points do you use to plot the inverse on a graph?
Horizontal right
Conditional
Line ascending to the right gradually
The opposite coordinates

25. How many ranges can you have for each domain?
X = the original sale price and the formula is x - .40x =$276
Postiive slope
Math 4 x - graph
Only one

26. f(x) = x^2+3x+5 - what type of formula is this?
The single number y=
Function notation
4 -6 -9
F(x) = x

27. Draw or discuss a decreasing function
Undefined slope
X math 3 graph
Yes because two x's or domains can point to one y
Cannot be drawn in quizlet

28. What is the slope of a perpendicular line?
Equation of a line
Change in y / change in x = rise / run = y2-y1 / x2-x1
Negative inverse
The opposite coordinates

29. What is the range of an identity function?
Yes - all the domains points to one range
45 degree angle
(-infinity - +infinity)
0<c<1 - horizontal stretching

30. What equation does every line have? Discuss the variables.
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.
Zero slope
Negative inverse
20+.05x=5+.10x x=minutes

31. What is the domain of a square root function?
[0 -+infinity)
The first set of components of an ordered pair
20+.05x=5+.10x x=minutes
Postiive slope

32. What does the absolute value function look like?
Y=IxI
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
A V
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

33. How do you graph Ax+By+C=0?
The first set of components of an ordered pair
Set the x and y to zero and get the intercepts and then plot the points
(-infinity - +infinity)
Perpendicular line

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

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35. What is the domain for the standard cubic function?
(-infinity - +infinity)
F(x)=suare root of x
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
F(x) = x

36. Which direction does f(x-c) move
2nd catalog (zero key -) abs(x) - graph
Parraelle line
Horizontal right
Conditional

37. What are the calculator instructions for the standard cubic function?
X math 3 graph
Identity
Y=x^2 - graph
Odd

38. 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
Neither
Horizontal
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

39. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Same
Absolute Value - Constant and Standard Quadratic
Yes - all the domains points to one range
F of g and g of f

40. When is the only time (-infinity - +infinity) is not the domain?
Cannot be drawn in quizlet
In a quotient
Inconsitent
Math 4 x - graph

41. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
(-infinity - 0]you[0 - +infinity)
Because the demintor of a quotient can never equal zero
[0 -+infinity)

42. Draw or discuss a constant function
Conditional
Cannot be drawn in quizlet
Even
Function notation

43. Is the square root function odd - even or neither?
Piecewise
Neither
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
The first set of components of an ordered pair

44. How do you calculate a constant function in your calculator?
Odd
X is the hours to repair the boat. $1603-532=anwser/63 = x
Horizontal right
Y= then enter the number then press graph

45. 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?
Because the demintor of a quotient can never equal zero
Square Root
2nd catalog (zero key -) abs(x) - graph
X is the hours to repair the boat. $1603-532=anwser/63 = x

46. What type of slope do you have when the line is horizontal and m=0?
2nd catalog (zero key -) abs(x) - graph
(-infinity - +infinity)
C>1 - horizontal shrinking
Zero slope

47. What type of slope do you have when the line is horizontal and m=0?
Horizontal left
F(x)=IxI
Negative inverse
Zero slope

48. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
X^2
Perpendicular line
(-infinity - 0]you[0 - +infinity)

49. What type of slope do horizontal lines have?
Parabola - up one and right three
Yes - all the domains points to one range
The opposite coordinates
Same

50. Is a standard quadratic function even - odd or neither?
The first set of components of an ordered pair
(-infinity - +infinity)
Even
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.