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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 does the square root function look like on a graph?
Line ascending to the right gradually
The single number y=
(-infinity - +infinity)
(-infinity - +infinity)

2. Why can h not equal zero in the difference of a quotient function formula?
F(x) = x
Y= then enter the number then press graph
Because the demintor of a quotient can never equal zero
(-infinity - 0]you[0 - +infinity)

3. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
X=a
F(x)=suare root of 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
Y= then enter the number then press graph

4. Draw or discuss an increasing function
C>1 - horizontal shrinking
Even
Horizontal
Cannot be drawn in quizlet

5. 4x+5x=8x is what type of an equation?
Conditional
Even
Inconsitent
Cannot be drawn in quizlet

6. standard absolute value - vertical shift formulas for positve and negative
Y= then enter the number then press graph
Conditional
(-infinity - +infinity)
F(x)=+c and f(x)-c

7. What is the formula for an identity function?
(-infinity - 0]you[0 - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
No because you cannot have one domain pointing at two y's or ranges
F(x) = x

8. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Yes - all the domains points to one range
Function notation
X = the original sale price and the formula is x - .40x =$276
Identity

9. What is the point slope formula and when do you use it?
(-infinity - +infinity)
Identity
(-infinity - 0]you[0 - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

10. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Odd
F(x+c) and f(x-c)
Y=IxI

11. What is the range of the constant function?
Conditional
2nd catalog (zero key -) abs(x) - graph
The single number y=
Negative inverse

12. What is the slope of a perpendicular line?
[0 -+infinity)
F(x+h)-f(x)/h h cannot equal zero
Negative inverse
Y=x^2 - graph

13. What type of slope do you have when a line rises from left to right and m>0?
Y=x^2 - graph
C>1 - horizontal shrinking
Only one
Postiive slope

14. What is the standard quadratic function?
Postiive slope
X^2
F(x) = x
X is the hours to repair the boat. $1603-532=anwser/63 = x

15. What is the slope intercept formula? Define all the variables.
Only one
Yes - all the domains points to one range
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Parabola - up one and right three

16. What is the range for the standard cubic function?
Equation of a line
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
Undefined slope

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

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18. What is the domain and range of a constant function?
Mirror image neg quadrant to that of the positive quandrant
Piecewise
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges

19. What is another way of writing the absolute value function?
Absolute Value - Constant and Standard Quadratic
Horizontal
The second set of components of an ordered pair
Y=IxI

20. Of the seven of algebra's common graph's how many are odd?
The first set of components of an ordered pair
Three odd - cube root - identity - standard cubic
Mirror image neg quadrant to that of the positive quandrant
F(x)=+c and f(x)-c

21. How do you graph Ax+By+C=0?
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
As many as you like
Set the x and y to zero and get the intercepts and then plot the points

22. 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
F(x)=x^3
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
2nd key - x^2 - graph

23. Is a standard quadratic function even - odd or neither?
Cannot be drawn in quizlet
Any set of ordered pairs
C>1 - horizontal shrinking
Even

24. What is the range of a square root function?
(-infinity - 0]you[0 - +infinity)
(-infinity - 0]you[0 - +infinity)
[0 -+infinity)
The single number y=

25. What can we substitute for f(x)?
Undefined slope
Same
Y=IxI
Y

26. What is the range of the cube root function?
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
A line passing through two distinct points
Parabola - up one and right three

27. What does the average rate of change formula solve?
(f+g) - (f-g) - (fg) - (f/g) all of x
Negative slope
The slope of a line containing two points
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

28. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
0<c<1 - horizontal stretching
Yes - all the domains points to one range
Math 4 x - graph
Cannot be drawn in quizlet

29. What points do you use to plot the inverse on a graph?
Down
The opposite coordinates
Neither
Approach neg toward x through zero and above positive close to x

30. 4(x-7)=4x+28 is what type of an equation?
As equations
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Function notation
Inconsitent

31. Is the square root function odd - even or neither?
Parabola
Perpendicular line
Neither
The secant line

32. How are functions normally written?
Identity
Parabola
(-infinity - 0]you[0 - +infinity)
As equations

33. What are the calculator instructions for a standard quadratic equation?
X=a
Horizontal
20+.05x=5+.10x x=minutes
Y=x^2 - graph

34. Draw or discuss a decreasing function
2nd catalog (zero key -) abs(x) - graph
Parabola - up one and right three
F(x+c) and f(x-c)
Cannot be drawn in quizlet

35. Is the standard cubic function odd - even or neither?
Odd
Undefined
The first set of components of an ordered pair
Y=x - identity function

36. What is the domain of a square root function?
Approach neg toward x through zero and above positive close to x
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x) = x
[0 -+infinity)

37. What is a constant function?
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
F(x+h)-f(x)/h h cannot equal zero
Because the demintor of a quotient can never equal zero
F(x^1)=f(x^2)

38. How many ranges can you have for each domain?
Any set of ordered pairs
Y=x^2 - graph
Only one
Function notation

39. When is the only time (-infinity - +infinity) is not the domain?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=x - identity function
In a quotient
Undefined

40. What are two examples of composit functions?
Down
F of g and g of f
Horizontal left
Y

41. What is the formula for the standard cubic function?
In a quotient
Piecewise
F(x)=x^3
Any set of ordered pairs

42. 4(x-7)=4x+28 is what type of an equation?
(-infinity - +infinity)
As many as you like
Inconsitent
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

43. What shape is the standard quadratic function?
Negative slope
Parabola
Conditional
Piecewise

44. What equation does every line have? Discuss the variables.
F(x)=x^3
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.
Up
X = the original sale price and the formula is x - .40x =$276

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?
Horizontal
[0 -+infinity)
M
X is the hours to repair the boat. $1603-532=anwser/63 = x

46. What is a 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
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Math 4 x - graph
Odd

47. What is the formula for the square root function?
Postiive slope
The first set of components of an ordered pair
F(x)=suare root of x
Identity

48. What does the square root function look like on a graph?
(-infinity - +infinity)
Line ascending to the right gradually
20+.05x=5+.10x x=minutes
X^2

49. What is the range for the standard cubic function?
0<c<1 - horizontal stretching
M
(-infinity - +infinity)
Perpendicular line

50. y=f(cx) What does this formula represent?
Identity
Y
0<c<1 - horizontal stretching
2nd catalog (zero key -) abs(x) - graph

Can you answer 50 questions in 15 minutes?

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College Algebra Test

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