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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 domain for a standard quadratic function?
Only one
(-infinity - +infinity)
Y
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

2. What is the vertical line formula?
Yes because two x's or domains can point to one y
X=a
Equation of a line
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.

3. What is the domain for the standard cubic function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Conditional
(-infinity - +infinity)
Horizontal right

4. What is the formula for the square root function?
X math 3 graph
Identity
F(x)=suare root of x
As equations

5. Is an identity function even - odd or neither?
(-infinity - +infinity)
Inconsitent
Odd
F(x+c) and f(x-c)

6. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
Y=10
F(x2)-f(x1) / x2-x1
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

7. What are two examples of composit functions?
Y
X2-x1 because the demonaitor of a quotient can never equal zero
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.
F of g and g of f

8. What is the range of an identity function?
(-infinity - +infinity)
Y=IxI
The first set of components of an ordered pair
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

9. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Cannot be drawn in quizlet
Yes - all the domains points to one range
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
[0 -+infinity)

10. How many ranges can you have for each domain?
Only one
Three odd - cube root - identity - standard cubic
The slope of a line containing two points
Odd

11. What is the domain for an absolute value function?
(-infinity - +infinity)
F(x) = x
Y=IxI
Cannot be drawn in quizlet

12. What is the range of the cube root function?
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)
Negative inverse
Horizontal

13. What are the calculator instructions for the cube root function?
C>1 - horizontal shrinking
Zero slope
Math 4 x - graph
Parraelle line

14. What are the calculator instructions for a square root function?
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero
A line passing through two distinct points
2nd key - x^2 - graph

15. What are the calculator instructions for the cube root function?
Parabola - up one and right three
F(x) = x
Math 4 x - graph
Cannot be drawn in quizlet

16. What is a relation?
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
Inconsistant
Inconsistant
Any set of ordered pairs

17. Draw or discuss an increasing function
Yes - all the domains points to one range
Cannot be drawn in quizlet
F(x) = x
X = the original sale price and the formula is x - .40x =$276

18. Draw or discuss a constant function
X^2
The single number y=
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant

19. What equation does every line have? Discuss the variables.
45 degree angle
Yes because two x's or domains can point to one y
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.
(-infinity - +infinity)

20. Of the seven of algebra's common graph's how many are odd?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y=x^2 - graph
Three odd - cube root - identity - standard cubic
F(x) = x

21. Which direction does f(x)=+c move in standard absolute value formula?
Up
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
A line passing through two distinct points
Square Root

22. Is a constant function even - odd or neither?
Parraelle line
Approach neg toward x through zero and above positive close to x
Undefined slope
Even

23. 4(x-7)=4x+28 is what type of an equation?
45 degree angle
Undefined slope
Inconsitent
Piecewise

24. Is an absolute value function even - odd or neither?
X math 3 graph
Parabola - up one and right three
Odd
Even

25. What is the range for a standard quadratic function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Square Root
(-infinity - 0]you[0 - +infinity)
45 degree angle

26. Of the seven of algebra's common graph's how many are neither?
The opposite coordinates
F(x)=+c and f(x)-c
Square Root
In a quotient

27. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
Y=IxI
Only one
(-infinity - 0]you[0 - +infinity)

28. What is the range of a square root function?
[0 -+infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
F(x)=3 square root x
Down

29. What is the formula for an absolute value function?
F(x)=+c and f(x)-c
F(x)=IxI
The first set of components of an ordered pair
Even

30. What is an identity function?
45 degree angle
Yes because two x's or domains can point to one y
F(x)=x^3
F(x+h)-f(x)/h h cannot equal zero

31. What can never equal zero in the slope formula and why?
The opposite coordinates
Even
Horizontal
X2-x1 because the demonaitor of a quotient can never equal zero

32. What are the calculator instructions for absolute value?
Cannot be drawn in quizlet
2nd catalog (zero key -) abs(x) - graph
F(x)=x^3
Conditional

33. Is an absolute value function even - odd or neither?
Even
Absolute Value - Constant and Standard Quadratic
Y=x - identity function
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

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

35. What is the vertical line formula?
A V
(-infinity - 0]you[0 - +infinity)
(-infinity - 0]you[0 - +infinity)
X=a

36. What does the average rate of change formula solve?
F(x2)-f(x1) / x2-x1
Up
The slope of a line containing two points
Math 4 x - graph

37. 4(x-7)=4x-28 is what type of an equation?
Identity
X = the original sale price and the formula is x - .40x =$276
No because you cannot have one domain pointing at two y's or ranges
Change in y / change in x = rise / run = y2-y1 / x2-x1

38. What is the horizontal line formula?
Y=b
Undefined
The single number y=
Up

39. What does the graph of the cube root function look like on the graph?
Yes because two x's or domains can point to one y
(-infinity - +infinity)
Y=x^2 - graph
Approach neg toward x through zero and above positive close to x

40. x=no real numbers is what type of an equation?
(-infinity - +infinity)
The secant line
Inconsistant
Piecewise

41. What is the vertical line test?
When does a graph not define y as a function of x?
4 -6 -9
Because the demintor of a quotient can never equal zero
Even

42. Is the standard cubic function odd - even or neither?
Odd
No because you cannot have one domain pointing at two y's or ranges
20+.05x=5+.10x x=minutes
Absolute Value - Constant and Standard Quadratic

43. What points do you use to plot the inverse on a graph?
Negative slope
The opposite coordinates
Conditional
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

44. Why can h not equal zero in the difference of a quotient function formula?
F(x)=3 square root x
Because the demintor of a quotient can never equal zero
X = the original sale price and the formula is x - .40x =$276
X^2

45. What is the line called that illustrates the straight line between the two points when showing average rate of change?
Y=x^2 - graph
The secant line
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
(f+g) - (f-g) - (fg) - (f/g) all of x

46. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
(-infinity - +infinity)
[0 -+infinity)
Odd
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

47. What does the average rate of change formula solve?
[0 -+infinity)
Even
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The slope of a line containing two points

48. What is a domain?
Down
Piecewise
The first set of components of an ordered pair
Piecewise

49. Is the square root function odd - even or neither?
X = the original sale price and the formula is x - .40x =$276
Neither
F(x)=suare root of x
Horizontal

50. What is the range of a square root function?
[0 -+infinity)
Y=x^2 - graph
(-infinity - +infinity)
(-infinity - +infinity)