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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. How many ranges can you have for each domain?
Conditional
Parabola - up one and right three
Y=x - identity function
Only one

2. What can we substitute for f(x)?
Y
Y=x - identity function
0<c<1 - horizontal stretching
Conditional

3. What is the average rate of change formula?
Even
F(x2)-f(x1) / x2-x1
F(x)=suare root of x
F(x)=suare root of x

4. Is an identity function even - odd or neither?
Odd
Inconsitent
No because you cannot have one domain pointing at two y's or ranges
Y=x - identity function

5. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
Y=x - identity function
[0 -+infinity)
Parabola - up one and right three

6. What is another way to write f(x)=x - what type of function is this?
When does a graph not define y as a function of x?
Y=x - identity function
[0 -+infinity)
Conditional

7. standard absolute value - vertical shift formulas for positve and negative
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.
In a quotient
F(x)=+c and f(x)-c
Y

8. What is a domain?
F(x)=x^3
Even
The first set of components of an ordered pair
(-infinity - +infinity)

9. What are the calculator instructions for a square root function?
2nd key - x^2 - graph
(-infinity - +infinity)
Identity
Parabola

10. Which direction does f(x)=+c move in standard absolute value formula?
Up
Even
F(x) = x
Cannot be drawn in quizlet

11. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
The slope of a line containing two points
Conditional
Three odd - cube root - identity - standard cubic

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

13. 4(x-7)=4x-28 is what type of an equation?
Line ascending to the right gradually
Mirror image neg quadrant to that of the positive quandrant
Identity
Change in y / change in x = rise / run = y2-y1 / x2-x1

14. How many domains can you have pointing to one range?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
As many as you like
Any set of ordered pairs

15. What is the formula for 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
Change in y / change in x = rise / run = y2-y1 / x2-x1
As many as you like
Y= then enter the number then press graph

16. Is a constant function even - odd or neither?
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
Even
Piecewise

17. What is the formula for an absolute value function?
Cannot be drawn in quizlet
No because you cannot have one domain pointing at two y's or ranges
F(x)=IxI
Absolute Value - Constant and Standard Quadratic

18. What is the vertical line formula?
4 -6 -9
X=a
Odd
(-infinity - +infinity)

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

20. What is the formula for the cube root function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Cannot be drawn in quizlet
F(x)=3 square root x
Perpendicular line

21. How do you calculate a constant function in your calculator?
C>1 - horizontal shrinking
Y= then enter the number then press graph
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.
45 degree angle

22. Is an identity function even - odd or neither?
(-infinity - 0]you[0 - +infinity)
In a quotient
Odd
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

23. What is a function?
X math 3 graph
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(x2)-f(x1) / x2-x1
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

24. What does the average rate of change formula solve?
The secant line
The first set of components of an ordered pair
The slope of a line containing two points
Inconsistant

25. What does the standard cubic function look like on a graph?
F(x2)-f(x1) / x2-x1
The first set of components of an ordered pair
Mirror image neg quadrant to that of the positive quandrant
Parraelle line

26. What does the standard cubic function look like on a graph?
F(x^1)=f(x^2)
M
Mirror image neg quadrant to that of the positive quandrant
(-infinity - 0]you[0 - +infinity)

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
(-infinity - +infinity)
45 degree angle
Only one

28. What is the line called that illustrates the straight line between the two points when showing average rate of change?
(-infinity - +infinity)
Inconsitent
Postiive slope
The secant line

29. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Horizontal
1 -2 -3
Horizontal left
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

30. What is an identity function?
F of g and g of f
45 degree angle
F(x^1)=f(x^2)
F(x2)-f(x1) / x2-x1

31. x= a real number is what type of equation?
Odd
Conditional
Horizontal
Identity

32. What is the domain of an identity 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.
Parraelle line
(-infinity - +infinity)
Perpendicular line

33. What is the domain for the standard cubic function?
Y=IxI
Parabola
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)

34. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
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
X math 3 graph
Cannot be drawn in quizlet

35. What is the domain for an absolute value function?
Horizontal right
Up
(-infinity - +infinity)
C>1 - horizontal shrinking

36. 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?
F(x)=suare root of x
Mirror image neg quadrant to that of the positive quandrant
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x2)-f(x1) / x2-x1

37. 4(x-7)=4x+28 is what type of an equation?
Line ascending to the right gradually
Inconsitent
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1

38. What is another way to write f(x)=x - what type of function is this?
In a quotient
Y=x - identity function
X = the original sale price and the formula is x - .40x =$276
(-infinity - 0]you[0 - +infinity)

39. What type of line is a constant function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=10
As many as you like
Horizontal

40. What is the formula for to calculate the difference of a quotient function?
M
F(x+h)-f(x)/h h cannot equal zero
Undefined
When does a graph not define y as a function of x?

41. What are the steps for solving a word problem?
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
C>1 - horizontal shrinking
The single number y=
1 -2 -3

42. What are the algebra of functions?
The minimum or maximum points
The first set of components of an ordered pair
F of g and g of f
(f+g) - (f-g) - (fg) - (f/g) all of x

43. What is the letter used to represent slope?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y= then enter the number then press graph
(-infinity - +infinity)
M

44. What is the formula for the cube root function?
Identity
F(x+c) and f(x-c)
F(x)=3 square root x
Conditional

45. What is the range for a standard quadratic function?
F of g and g of f
Piecewise
Math 4 x - graph
(-infinity - 0]you[0 - +infinity)

46. What does the graph of the cube root function look like on the graph?
Function notation
F(x)=IxI
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Approach neg toward x through zero and above positive close to x

47. How would this formula move f(x)=(x+1)^2-3
Cannot be drawn in quizlet
Parabola - up one and right three
Conditional
A V

48. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
A V
X=a
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

49. x=no real numbers is what type of an equation?
2nd key - x^2 - graph
Inconsistant
Odd
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

50. What is the vertical line formula?
X=a
Yes - all the domains points to one range
Cannot be drawn in quizlet
Even