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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 are two examples of composit functions?
Only one
F of g and g of f
(f+g) - (f-g) - (fg) - (f/g) all of x
Set the x and y to zero and get the intercepts and then plot the points

2. 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
Identity
Undefined slope

3. How many ranges can you have for each domain?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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
Only one
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

4. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
45 degree angle
F(x)=IxI
As equations

5. What type of line is an identity function?
Y= then enter the number then press graph
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
45 degree angle

6. What is the domain and range of a constant function?
Yes - all the domains points to one range
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
4 -6 -9

7. What are the steps for solving a word problem?
45 degree angle
The opposite coordinates
Equation of a line
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

8. 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?
Absolute Value - Constant and Standard Quadratic
X is the hours to repair the boat. $1603-532=anwser/63 = x
Yes - all the domains points to one range
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

9. What is a relation?
Y=IxI
(-infinity - +infinity)
The minimum or maximum points
Any set of ordered pairs

10. y=f(cx) What does this formula represent?
Math 4 x - graph
Cannot be drawn in quizlet
Down
0<c<1 - horizontal stretching

11. What is the standard quadratic function?
Y=b
F(x)=+c and f(x)-c
X^2
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

12. How are functions normally written?
X2-x1 because the demonaitor of a quotient can never equal zero
Mirror image neg quadrant to that of the positive quandrant
The minimum or maximum points
As equations

13. What are the calculator instructions for the standard cubic function?
X math 3 graph
(-infinity - +infinity)
Negative inverse
Down

14. What is a domain?
The first set of components of an ordered pair
Because the demintor of a quotient can never equal zero
As many as you like
(-infinity - +infinity)

15. Is an identity function even - odd or neither?
Odd
F(x2)-f(x1) / x2-x1
Horizontal left
2nd catalog (zero key -) abs(x) - graph

16. Which direction does f(x-c) move
Horizontal left
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.
Odd
Horizontal right

17. What is the formula for an identity function?
F(x) = x
The secant line
0<c<1 - horizontal stretching
Down

18. What is the range for the standard cubic function?
(-infinity - +infinity)
F(x)=3 square root x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(-infinity - 0]you[0 - +infinity)

19. What is the slope of a perpendicular line?
Negative inverse
[0 -+infinity)
In a quotient
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

20. What is the range of a square root function?
Y=x - identity function
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Inconsistant
[0 -+infinity)

21. Why can h not equal zero in the difference of a quotient function formula?
Horizontal
Parraelle line
Y
Because the demintor of a quotient can never equal zero

22. What is a constant function?
F(x)=x^3
F(x^1)=f(x^2)
Only one
(-infinity - +infinity)

23. What is the range for an absolute value function?
F(x) = x
Zero slope
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - 0]you[0 - +infinity)

24. What type of slope do you have when a line falls left to right and m<0?
Inconsistant
Perpendicular line
Negative slope
Horizontal left

25. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
[0 -+infinity)
The second set of components of an ordered pair
Parraelle line

26. Draw or discuss an increasing function
F(x) = x
Undefined slope
Cannot be drawn in quizlet
Because the demintor of a quotient can never equal zero

27. What is the domain of the cube root function?
Square Root
20+.05x=5+.10x x=minutes
Y=x^2 - graph
(-infinity - +infinity)

28. What is another way to write f(x)=x - what type of function is this?
0<c<1 - horizontal stretching
Function notation
Undefined slope
Y=x - identity function

29. What type of slope do you have when a line falls left to right and m<0?
The secant line
F(x+c) and f(x-c)
(-infinity - +infinity)
Negative slope

30. What type of slope do you have when the line is horizontal and m=0?
Because the demintor of a quotient can never equal zero
Because the demintor of a quotient can never equal zero
Zero slope
F(x)=+c and f(x)-c

31. What are the calculator instructions for absolute value?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
2nd catalog (zero key -) abs(x) - graph
Even
When does a graph not define y as a function of x?

32. 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
Three odd - cube root - identity - standard cubic
Up
F(x+h)-f(x)/h h cannot equal zero

33. standard absolute value - vertical shift formulas for positve and negative
Cannot be drawn in quizlet
F(x)=+c and f(x)-c
Line ascending to the right gradually
(f+g) - (f-g) - (fg) - (f/g) all of x

34. Which direction does f(x+c) move
(-infinity - +infinity)
Horizontal left
Change in y / change in x = rise / run = y2-y1 / x2-x1
The minimum or maximum points

35. What type of slope do you have when a line rises from left to right and m>0?
Postiive slope
Because the demintor of a quotient can never equal zero
Change in y / change in x = rise / run = y2-y1 / x2-x1
Yes - all the domains points to one range

36. How do you calculate a constant function in your calculator?
Zero slope
Odd
Y= then enter the number then press graph
F(x) = x

37. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
Down
X=a
Yes - all the domains points to one range

38. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
The opposite coordinates
Only one
Down

39. What type of line is a constant function?
Odd
Y
(-infinity - +infinity)
Horizontal

40. What is the formula for the square root function?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Because the demintor of a quotient can never equal zero
F(x)=suare root of x
Negative slope

41. What is an identity function?
45 degree angle
Parraelle line
Yes because two x's or domains can point to one y
Inconsitent

42. Is a standard quadratic function even - odd or neither?
Even
A line passing through two distinct points
Cannot be drawn in quizlet
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

43. What can we substitute for f(x)?
(-infinity - +infinity)
M
Y
F(x^1)=f(x^2)

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

45. Which direction does f(x-c) move
As many as you like
Horizontal right
Y=10
C>1 - horizontal shrinking

46. What is the formula for an absolute value function?
Y= then enter the number then press graph
Only one
The secant line
F(x)=IxI

47. 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
Identity
Y= then enter the number then press graph
Function notation

48. What type of slope do you have when m=? and the line is vertical?
Negative inverse
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x)=3 square root x
Undefined slope

49. What is the point slope formula and when do you use it?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Conditional
Undefined slope
Perpendicular line

50. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Undefined
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.