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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. Draw or discuss a decreasing function
Absolute Value - Constant and Standard Quadratic
Down
Cannot be drawn in quizlet
No because you cannot have one domain pointing at two y's or ranges

2. Of the seven of algebra's common graph's how many are neither?
(-infinity - +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.
Even
Square Root

3. How many ranges can you have for each domain?
Y= then enter the number then press graph
4 -6 -9
Only one
F(x)=suare root of x

4. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
45 degree angle
(-infinity - +infinity)
Conditional

5. 4(x-7)=4x-28 is what type of an equation?
Neither
Identity
Negative inverse
Y=IxI

6. What is the formula for the square root function?
45 degree angle
F(x)=suare root of x
Inconsitent
Cannot be drawn in quizlet

7. What does the absolute value function look like?
A V
Neither
Because the demintor of a quotient can never equal zero
2nd key - x^2 - graph

8. What is an identity function?
(-infinity - +infinity)
Inconsistant
45 degree angle
Set the x and y to zero and get the intercepts and then plot the points

9. What is the vertical line test?
When does a graph not define y as a function of x?
A V
F(x)=x^3
20+.05x=5+.10x x=minutes

10. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Odd
Neither

11. What are the calculator instructions for a square root function?
(-infinity - +infinity)
F(x)=IxI
2nd key - x^2 - graph
Equation of a line

12. What is the slope of a perpendicular line?
F(x)=+c and f(x)-c
Negative inverse
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)

13. What is a range?
Postiive slope
Y= then enter the number then press graph
(-infinity - +infinity)
The second set of components of an ordered pair

14. How many domains can you have pointing to one range?
As many as you like
The opposite coordinates
Horizontal left
Absolute Value - Constant and Standard Quadratic

15. What is a domain?
The first set of components of an ordered pair
Because the demintor of a quotient can never equal zero
No because you cannot have one domain pointing at two y's or ranges
Identity

16. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
Cannot be drawn in quizlet
X math 3 graph
Square Root

17. What does the standard cubic function look like on a graph?
(-infinity - 0]you[0 - +infinity)
[0 -+infinity)
Mirror image neg quadrant to that of the positive quandrant
In a quotient

18. What is the horizontal line formula?
0<c<1 - horizontal stretching
1 -2 -3
Y=b
The minimum or maximum points

19. What is the formula for the cube root function?
F(x)=3 square root x
X^2
The second set of components of an ordered pair
(f+g) - (f-g) - (fg) - (f/g) all of x

20. A flat line underlining one vertical line is a symbol for...
F(x)=suare root of x
[0 -+infinity)
Perpendicular line
F(x)=x^3

21. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
F(x^1)=f(x^2)
Cannot be drawn in quizlet
(-infinity - +infinity)

22. What does the square root function look like on a graph?
A V
A V
Line ascending to the right gradually
X2-x1 because the demonaitor of a quotient can never equal zero

23. How do you calculate a constant function in your calculator?
No because you cannot have one domain pointing at two y's or ranges
Y= then enter the number then press graph
F(x+h)-f(x)/h h cannot equal zero
Yes - all the domains points to one range

24. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
(-infinity - +infinity)
Inconsitent
Cannot be drawn in quizlet
1 -2 -3

25. 4(x-7)=4x-28 is what type of an equation?
The secant line
(-infinity - +infinity)
Identity
F(x)=IxI

26. Is a standard quadratic function even - odd or neither?
X^2
Even
Absolute Value - Constant and Standard Quadratic
F(x)=IxI

27. What is the range of a square root function?
F of g and g of f
The second set of components of an ordered pair
Three odd - cube root - identity - standard cubic
[0 -+infinity)

28. What shape is the standard quadratic function?
Y=x^2 - graph
Cannot be drawn in quizlet
Parabola
4 -6 -9

29. What is the domain for an absolute value function?
Yes because two x's or domains can point to one y
(-infinity - +infinity)
The minimum or maximum points
The secant line

30. Which direction does f(x-c) move
X math 3 graph
Horizontal right
Identity
Square Root

31. What does the square root function look like on a graph?
F(x)=x^3
Line ascending to the right gradually
Y=b
Horizontal

32. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
(-infinity - 0]you[0 - +infinity)
Odd
Piecewise

33. What is another way of writing the absolute value function?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Equation of a line
Y=IxI
(f+g) - (f-g) - (fg) - (f/g) all of x

34. Is a constant function even - odd or neither?
Y=b
Even
F(x)=x^3
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

35. x=all real numbers is what type of an equation?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Identity
Mirror image neg quadrant to that of the positive quandrant
F(x)=suare root of x

36. What is an identity 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
45 degree angle
C>1 - horizontal shrinking
(-infinity - +infinity)

37. What equation does every line have? Discuss the variables.
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Conditional
Set the x and y to zero and get the intercepts and then plot the points
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.

38. Is an identity function even - odd or neither?
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.
Odd
0<c<1 - horizontal stretching
Identity

39. What is another way of writing the absolute value 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.
The opposite coordinates
Cannot be drawn in quizlet
Y=IxI

40. How do you graph Ax+By+C=0?
Equation of a line
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Set the x and y to zero and get the intercepts and then plot the points
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

41. What is the domain of the cube root function?
X = the original sale price and the formula is x - .40x =$276
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x

42. What are the four steps for finding the inverse of a function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Perpendicular line
When does a graph not define y as a function of x?
Horizontal

43. What is the domain of the cube root function?
Same
(-infinity - +infinity)
Negative slope
Conditional

44. What are two examples of composit functions?
Identity
No because you cannot have one domain pointing at two y's or ranges
F of g and g of f
X is the hours to repair the boat. $1603-532=anwser/63 = x

45. 4x+5x=8x is what type of an equation?
Conditional
Perpendicular line
The slope of a line containing two points
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

46. Of the seven of algebra's common graph's how many are neither?
The opposite coordinates
The slope of a line containing two points
Square Root
Negative slope

47. What shape is the standard quadratic function?
Even
Parabola
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic

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

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49. What is slope?
Yes because two x's or domains can point to one y
A line passing through two distinct points
When does a graph not define y as a function of x?
Line ascending to the right gradually

50. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Odd
Line ascending to the right gradually
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Y=IxI