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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 another way of writing the absolute value function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Function notation
Y=IxI
M

2. What is the range of the cube root function?
Negative inverse
A V
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)

3. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
X2-x1 because the demonaitor of a quotient can never equal zero
Y=10
Down

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

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5. How many domains can you have pointing to one range?
Cannot be drawn in quizlet
0<c<1 - horizontal stretching
X=a
As many as you like

6. What are the calculator instructions for the cube root function?
Parabola
The secant line
Math 4 x - graph
As many as you like

7. What does the standard cubic function look like on a graph?
4 -6 -9
Mirror image neg quadrant to that of the positive quandrant
Y=b
45 degree angle

8. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
(-infinity - +infinity)
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)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

9. standard absolute value - vertical shift formulas for positve and negative
Y=x - identity function
Y=10
F(x^1)=f(x^2)
F(x)=+c and f(x)-c

10. Which direction does f(x+c) move
Y=IxI
Horizontal
Horizontal left
The slope of a line containing two points

11. What type of line is a constant function?
F(x)=IxI
Horizontal
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

12. When is the only time (-infinity - +infinity) is not the domain?
X is the hours to repair the boat. $1603-532=anwser/63 = x
In a quotient
Inconsistant
Yes because two x's or domains can point to one y

13. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Cannot be drawn in quizlet
4 -6 -9
Approach neg toward x through zero and above positive close to x
The slope of a line containing two points

14. Is an identity function even - odd or neither?
Zero slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Odd

15. What is the range of the constant function?
Square Root
Three odd - cube root - identity - standard cubic
Undefined
The single number y=

16. How are functions normally written?
C>1 - horizontal shrinking
As equations
Y
Y

17. What is the range for the standard cubic function?
Because the demintor of a quotient can never equal zero
Y= then enter the number then press graph
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

18. What is the range of an identity function?
(-infinity - +infinity)
Horizontal right
(-infinity - 0]you[0 - +infinity)
X=a

19. What is a constant function?
Cannot be drawn in quizlet
F(x^1)=f(x^2)
45 degree angle
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

20. Draw or discuss a decreasing function
Identity
Cannot be drawn in quizlet
Set the x and y to zero and get the intercepts and then plot the points
0<c<1 - horizontal stretching

21. What does the graph of the cube root function look like on the graph?
Approach neg toward x through zero and above positive close to x
Y=x^2 - graph
Negative inverse
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

22. What type of slope do vertical lines have?
Undefined
Parabola
Perpendicular line
0<c<1 - horizontal stretching

23. How would this formula move f(x)=(x+1)^2-3
Horizontal left
(-infinity - 0]you[0 - +infinity)
Parabola - up one and right three
45 degree angle

24. What type of line is an identity function?
Horizontal left
F(x) = x
45 degree angle
20+.05x=5+.10x x=minutes

25. What are the calculator instructions for the cube root function?
4 -6 -9
Math 4 x - graph
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x2)-f(x1) / x2-x1

26. 4(x-7)=4x+28 is what type of an equation?
X is the hours to repair the boat. $1603-532=anwser/63 = x
(f+g) - (f-g) - (fg) - (f/g) all of x
Inconsitent
4 -6 -9

27. What does the average rate of change formula solve?
Cannot be drawn in quizlet
45 degree angle
(f+g) - (f-g) - (fg) - (f/g) all of x
The slope of a line containing two points

28. What is the domain of an identity function?
Parraelle line
F of g and g of f
Y=10
(-infinity - +infinity)

29. What is the range of the 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
The opposite coordinates
Because the demintor of a quotient can never equal zero
The single number y=

30. What are the calculator instructions for the standard cubic function?
X math 3 graph
Negative inverse
F of g and g of f
(f+g) - (f-g) - (fg) - (f/g) all of x

31. y=f(cx) - What does this formula represent?
4 -6 -9
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.
The opposite coordinates
C>1 - horizontal shrinking

32. What is the domain of a square root function?
4 -6 -9
Odd
[0 -+infinity)
When does a graph not define y as a function of x?

33. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - +infinity)
Yes - all the domains points to one range
The second set of components of an ordered pair
Cannot be drawn in quizlet

34. What is the domain for the standard cubic function?
Up
Y=10
(-infinity - +infinity)
Any set of ordered pairs

35. What is the range of a square root function?
Y=IxI
[0 -+infinity)
Absolute Value - Constant and Standard Quadratic
Piecewise

36. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
Identity
F(x)=3 square root x
(-infinity - +infinity)

37. Two vertical lines side by side are a symbol for what
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
X^2
Parraelle line
Y= then enter the number then press graph

38. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
X=a
20+.05x=5+.10x x=minutes
F(x^1)=f(x^2)
No because you cannot have one domain pointing at two y's or ranges

39. What does the average rate of change formula solve?
(-infinity - 0]you[0 - +infinity)
F(x^1)=f(x^2)
(-infinity - +infinity)
The slope of a line containing two points

40. What is an identity function?
1 -2 -3
Zero slope
45 degree angle
4 -6 -9

41. What equation does every line have? Discuss the variables.
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.
Y=b
Negative slope
1 -2 -3

42. What can never equal zero in the slope formula and why?
(-infinity - +infinity)
(-infinity - +infinity)
Function notation
X2-x1 because the demonaitor of a quotient can never equal zero

43. What is the domain for an absolute value function?
A V
Cannot be drawn in quizlet
(-infinity - +infinity)
Undefined

44. What is the horizontal line formula?
Math 4 x - graph
45 degree angle
Y=b
Conditional

45. What type of slope do horizontal lines have?
Even
Equation of a line
Same
F(x)=3 square root x

46. What is another way to write f(x)=x - what type of function is this?
Odd
The single number y=
F(x)=+c and f(x)-c
Y=x - identity function

47. What is another way of writing the absolute value function?
Y=IxI
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
When does a graph not define y as a function of x?
Because the demintor of a quotient can never equal zero

48. How many ranges can you have for each domain?
Cannot be drawn in quizlet
Inconsistant
(-infinity - +infinity)
Only one

49. What does linear equation mean?
F(x)=suare root of x
Undefined slope
Equation of a line
The single number y=

50. What is the domain of an identity function?
Horizontal left
(-infinity - +infinity)
Parraelle line
F(x^1)=f(x^2)