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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?
F of g and g of f
Up
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges

2. What is the formula for to calculate the difference of a quotient function?
(-infinity - +infinity)
F(x+h)-f(x)/h h cannot equal zero
Even
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

3. Of the seven of algebra's common graph's how many are neither?
Postiive slope
Square Root
Negative slope
Y=x^2 - graph

4. How many domains can you have pointing to one range?
As many as you like
Set the x and y to zero and get the intercepts and then plot the points
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
The single number y=

5. What are the calculator instructions for the standard cubic function?
2nd key - x^2 - graph
X^2
Square Root
X math 3 graph

6. What is the domain for an absolute value function?
1 -2 -3
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)
Parabola - up one and right three

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

8. 4(x-7)=4x+28 is what type of an equation?
Square Root
Negative inverse
Inconsitent
Y

9. How many ranges can you have for each domain?
F(x) = x
Y= then enter the number then press graph
(-infinity - +infinity)
Only one

10. What are the calculator instructions for the cube root function?
Three odd - cube root - identity - standard cubic
Math 4 x - graph
The single number y=
Perpendicular line

11. x= a real number is what type of equation?
Horizontal left
2nd catalog (zero key -) abs(x) - graph
Conditional
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

12. Is a constant function even - odd or neither?
Even
4 -6 -9
Undefined
(-infinity - 0]you[0 - +infinity)

13. What is the formula for an absolute value function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x) = x
F(x)=IxI
2nd catalog (zero key -) abs(x) - graph

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

15. standard absolute value - horizontal shift formulas for left and right
F(x+c) and f(x-c)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Identity
Horizontal left

16. A flat line underlining one vertical line is a symbol for...
Inconsitent
Perpendicular line
Even
Only one

17. What type of slope do horizontal lines have?
Horizontal
Same
F(x)=3 square root x
(-infinity - +infinity)

18. In an identity function if f(10)=x than What is y?
A V
Set the x and y to zero and get the intercepts and then plot the points
Y=10
Inconsistant

19. What does the absolute value function look like?
Identity
The single number y=
A V
Y=x^2 - graph

20. What type of slope do horizontal lines have?
(-infinity - +infinity)
Same
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Conditional

21. Which direction does f(x-c) move
Horizontal right
Negative inverse
Negative slope
Yes - all the domains points to one range

22. How do you graph Ax+By+C=0?
(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
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
(-infinity - +infinity)

23. What is the domain for the standard cubic function?
(-infinity - +infinity)
Parraelle line
Zero slope
When does a graph not define y as a function of x?

24. y=f(cx) - What does this formula represent?
The secant line
Parabola - up one and right three
The slope of a line containing two points
C>1 - horizontal shrinking

25. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
The first set of components of an ordered pair
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
In a quotient
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

26. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Because the demintor of a quotient can never equal zero
The secant line
1 -2 -3
Piecewise

27. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
As equations
Conditional
Horizontal left

28. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Negative inverse
4 -6 -9
The minimum or maximum points
Down

29. Which direction does f(x)=+c move in standard absolute value formula?
Up
Y=b
The second set of components of an ordered pair
Identity

30. What is the standard quadratic function?
Undefined
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
X^2
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.

31. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
Y=x^2 - graph
Y=b
(-infinity - +infinity)

32. What type of function would you use to calculate the most advantageous cell phone plan?
45 degree angle
Cannot be drawn in quizlet
Piecewise
Odd

33. What is the formula for the square root function?
Three odd - cube root - identity - standard cubic
45 degree angle
As equations
F(x)=suare root of x

34. What is a relation?
Any set of ordered pairs
X2-x1 because the demonaitor of a quotient can never equal zero
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.
Conditional

35. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
F(x) = x
Yes - all the domains points to one range
4 -6 -9
F(x)=+c and f(x)-c

36. 4x+5x=8x is what type of an equation?
Y=b
Down
Because the demintor of a quotient can never equal zero
Conditional

37. What is the range of the cube root function?
F(x^1)=f(x^2)
(-infinity - +infinity)
Zero slope
Parraelle line

38. How do you calculate a constant function in your calculator?
X2-x1 because the demonaitor of a quotient can never equal zero
Y=x^2 - graph
Y= then enter the number then press graph
45 degree angle

39. What is a function?
Equation of a line
Approach neg toward x through zero and above positive close to x
4 -6 -9
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

40. What equation does every line have? Discuss the variables.
Negative inverse
[0 -+infinity)
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 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

41. What is the range of the constant function?
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.
Undefined
The single number y=
Y= then enter the number then press graph

42. What is the letter used to represent slope?
As equations
Horizontal
Same
M

43. What are the algebra of functions?
M
Conditional
Cannot be drawn in quizlet
(f+g) - (f-g) - (fg) - (f/g) all of x

44. What type of line is an identity function?
45 degree angle
Equation of a line
(-infinity - +infinity)
Cannot be drawn in quizlet

45. What does linear equation mean?
The slope of a line containing two points
Equation of a line
X = the original sale price and the formula is x - .40x =$276
Y=x^2 - graph

46. standard absolute value - horizontal shift formulas for left and right
Horizontal
Horizontal
F(x+c) and f(x-c)
Undefined slope

47. x=no real numbers is what type of an equation?
(-infinity - 0]you[0 - +infinity)
Horizontal left
Inconsistant
F(x) = x

48. 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?
X is the hours to repair the boat. $1603-532=anwser/63 = x
45 degree angle
F(x)=3 square root x
Negative inverse

49. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
F(x^1)=f(x^2)
Conditional
Horizontal
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

50. When is the only time (-infinity - +infinity) is not the domain?
(-infinity - +infinity)
Even
In a quotient
(-infinity - +infinity)