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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 an identity function?
F(x) = x
Square Root
Y= then enter the number then press graph
F(x)=x^3

2. What is the formula for an absolute value function?
(-infinity - +infinity)
F(x)=IxI
Even
F(x)=x^3

3. What type of slope do vertical lines have?
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
Undefined
F of g and g of f

4. What are the steps for solving a word problem?
In a quotient
Parabola - up one and right three
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
Odd

5. What can never equal zero in the slope formula and why?
Yes because two x's or domains can point to one y
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal
Y=x - identity function

6. What type of function would you use to calculate the most advantageous cell phone plan?
F(x)=IxI
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Piecewise
F(x)=3 square root x

7. What can we substitute for f(x)?
F(x)=IxI
(-infinity - +infinity)
Y
A line passing through two distinct points

8. Is a constant function even - odd or neither?
2nd key - x^2 - graph
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Even
Piecewise

9. What is the domain of an identity function?
As many as you like
Up
(-infinity - +infinity)
Equation of a line

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

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11. What is the horizontal line formula?
2nd key - x^2 - graph
Approach neg toward x through zero and above positive close to x
45 degree angle
Y=b

12. Draw or discuss an increasing function
Down
Horizontal
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Cannot be drawn in quizlet

13. Draw or discuss a decreasing function
Inconsitent
Cannot be drawn in quizlet
45 degree angle
Math 4 x - graph

14. Which direction does f(x+c) move
As many as you like
Cannot be drawn in quizlet
Horizontal left
No because you cannot have one domain pointing at two y's or ranges

15. What is the domain of a square root function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
4 -6 -9
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
[0 -+infinity)

16. What is the slope intercept formula? Define all the variables.
X=a
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Horizontal right

17. What shape is the standard quadratic function?
4 -6 -9
Parabola
Neither
As equations

18. How many domains can you have pointing to one range?
Inconsistant
Mirror image neg quadrant to that of the positive quandrant
Yes - all the domains points to one range
As many as you like

19. What are the four steps for solving a linear equation?
A V
Odd
M
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.

20. What is slope?
[0 -+infinity)
Undefined slope
A line passing through two distinct points
Y=b

21. What is a function?
The opposite coordinates
4 -6 -9
F(x) = x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

22. What is the range of a square root function?
Cannot be drawn in quizlet
0<c<1 - horizontal stretching
Neither
[0 -+infinity)

23. 4x+5x=8x is what type of an equation?
Line ascending to the right gradually
Mirror image neg quadrant to that of the positive quandrant
Horizontal left
Conditional

24. How are functions normally written?
2nd catalog (zero key -) abs(x) - graph
Conditional
As equations
A line passing through two distinct points

25. What type of function would you use to calculate the most advantageous cell phone plan?
Math 4 x - graph
Piecewise
Three odd - cube root - identity - standard cubic
Y=b

26. What is the vertex?
Undefined slope
The minimum or maximum points
Set the x and y to zero and get the intercepts and then plot the points
Postiive slope

27. How many ranges can you have for each domain?
Cannot be drawn in quizlet
M
Only one
F of g and g of f

28. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Neither
As equations
Identity

29. f(x) = x^2+3x+5 - what type of formula is this?
Parabola
Perpendicular line
Zero slope
Function notation

30. Of the seven of algebra's common graph's how many are odd?
[0 -+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.
Three odd - cube root - identity - standard cubic
Set the x and y to zero and get the intercepts and then plot the points

31. What is the range for an absolute value function?
Cannot be drawn in quizlet
1 -2 -3
(-infinity - 0]you[0 - +infinity)
The secant line

32. What are the steps for solving a word problem?
Horizontal right
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(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
Only one

33. A flat line underlining one vertical line is a symbol for...
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Perpendicular line
Postiive slope
The opposite coordinates

34. What are the calculator instructions for a standard quadratic equation?
F(x)=+c and f(x)-c
[0 -+infinity)
(-infinity - 0]you[0 - +infinity)
Y=x^2 - graph

35. What is the range of the cube root function?
Cannot be drawn in quizlet
F(x2)-f(x1) / x2-x1
X=a
(-infinity - +infinity)

36. y=f(cx) - What does this formula represent?
(f+g) - (f-g) - (fg) - (f/g) all of x
X2-x1 because the demonaitor of a quotient can never equal zero
C>1 - horizontal shrinking
Yes - all the domains points to one range

37. What is the range of an identity function?
A V
[0 -+infinity)
In a quotient
(-infinity - +infinity)

38. What is the domain for a standard quadratic function?
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
Zero slope
Y=b

39. standard absolute value - horizontal shift formulas for left and right
Y=IxI
Cannot be drawn in quizlet
F(x+c) and f(x-c)
Cannot be drawn in quizlet

40. What is the formula for the square root function?
45 degree angle
F(x)=suare root of x
(-infinity - +infinity)
The opposite coordinates

41. What does the graph of the cube root function look like on the graph?
When does a graph not define y as a function of x?
(-infinity - 0]you[0 - +infinity)
Approach neg toward x through zero and above positive close to x
Math 4 x - graph

42. How many domains can you have pointing to one range?
0<c<1 - horizontal stretching
Odd
The first set of components of an ordered pair
As many as you like

43. What shape is the standard quadratic function?
Parabola
Y=x - identity function
Even
F(x+c) and f(x-c)

44. What is the domain for an absolute value function?
Y=10
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
A line passing through two distinct points

45. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Parabola
[0 -+infinity)
Cannot be drawn in quizlet

46. What is the formula for the cube root function?
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
Any set of ordered pairs
(-infinity - +infinity)
F(x)=3 square root x

47. What type of line is a constant function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
Down
Horizontal

48. What is a domain?
The first set of components of an ordered pair
X2-x1 because the demonaitor of a quotient can never equal zero
[0 -+infinity)
The single number y=

49. standard absolute value - vertical shift formulas for positve and negative
Up
Even
(-infinity - 0]you[0 - +infinity)
F(x)=+c and f(x)-c

50. What type of slope do vertical lines have?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Cannot be drawn in quizlet
Undefined
Parabola - up one and right three

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College Algebra Test

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