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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 of an identity function?
4 -6 -9
45 degree angle
45 degree angle
(-infinity - +infinity)

2. What is the formula for slope?
The second set of components of an ordered pair
[0 -+infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
Equation of a line

3. What is the domain of a square root function?
[0 -+infinity)
Function notation
As equations
Piecewise

4. What is the point slope formula and when do you use it?
Cannot be drawn in quizlet
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x+c) and f(x-c)
2nd catalog (zero key -) abs(x) - graph

5. y=f(cx) What does this formula represent?
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
F(x+h)-f(x)/h h cannot equal zero
0<c<1 - horizontal stretching
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

6. 4(x-7)=4x+28 is what type of an equation?
Conditional
F(x^1)=f(x^2)
Undefined
Inconsitent

7. What are the calculator instructions for absolute value?
A line passing through two distinct points
Equation of a line
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph

8. What type of slope do vertical lines have?
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.
X = the original sale price and the formula is x - .40x =$276
Horizontal right
Undefined

9. How many domains can you have pointing to one range?
F(x+c) and f(x-c)
A line passing through two distinct points
As many as you like
Yes - all the domains points to one range

10. What is slope?
Y=b
As many as you like
A line passing through two distinct points
Math 4 x - graph

11. What are the calculator instructions for a standard quadratic equation?
Even
1 -2 -3
Y=x^2 - graph
Undefined

12. What is a constant function?
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.
The first set of components of an ordered pair
F(x^1)=f(x^2)
45 degree angle

13. What type of slope do you have when a line rises from left to right and m>0?
The secant line
Postiive slope
(-infinity - +infinity)
(-infinity - +infinity)

14. x=no real numbers is what type of an equation?
The minimum or maximum points
Inconsistant
[0 -+infinity)
Square Root

15. What is the letter used to represent slope?
Same
The second set of components of an ordered pair
M
Y=10

16. Is an identity function even - odd or neither?
Conditional
When does a graph not define y as a function of x?
Odd
Down

17. What is the range for the standard cubic function?
4 -6 -9
Yes because two x's or domains can point to one y
(-infinity - +infinity)
Y=x - identity function

18. What is a range?
Math 4 x - graph
Y=10
(-infinity - +infinity)
The second set of components of an ordered pair

19. What is the range of the constant function?
F(x) = x
Piecewise
Line ascending to the right gradually
The single number y=

20. What does the average rate of change formula solve?
The second set of components of an ordered pair
Zero slope
The slope of a line containing two points
Inconsistant

21. What is the range of a square root function?
[0 -+infinity)
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)
M

22. What is the range of the cube root function?
(-infinity - +infinity)
45 degree angle
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
When does a graph not define y as a function of x?

23. What shape is the standard quadratic function?
Parabola
Identity
In a quotient
Set the x and y to zero and get the intercepts and then plot the points

24. Is an identity function even - odd or neither?
(-infinity - +infinity)
Odd
Even
Negative slope

25. What is the range of the constant function?
Even
F of g and g of f
(-infinity - +infinity)
The single number y=

26. What is the domain of a square root function?
Identity
Cannot be drawn in quizlet
Mirror image neg quadrant to that of the positive quandrant
[0 -+infinity)

27. What can we substitute for f(x)?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Zero slope
[0 -+infinity)
Y

28. standard absolute value - horizontal shift formulas for left and right
X math 3 graph
F(x+c) and f(x-c)
Yes - all the domains points to one range
(-infinity - +infinity)

29. Is the square root function odd - even or neither?
Neither
Piecewise
Cannot be drawn in quizlet
Undefined slope

30. What direction does f(x)-c move in standard absolute value formula?
Down
When does a graph not define y as a function of x?
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

31. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
0<c<1 - horizontal stretching
Inconsistant
Odd

32. Which direction does f(x-c) move
X is the hours to repair the boat. $1603-532=anwser/63 = x
Horizontal right
A V
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.

33. What does the standard cubic function look like on a graph?
F(x)=x^3
C>1 - horizontal shrinking
Mirror image neg quadrant to that of the positive quandrant
Postiive slope

34. What are two examples of composit functions?
Yes - all the domains points to one range
Horizontal left
F of g and g of f
Same

35. Is a constant function even - odd or neither?
Cannot be drawn in quizlet
Even
The second set of components of an ordered pair
Y= then enter the number then press graph

36. What are the four steps for solving a linear equation?
No because you cannot have one domain pointing at two y's or ranges
(-infinity - +infinity)
(-infinity - +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.

37. Draw or discuss a constant function
(-infinity - 0]you[0 - +infinity)
X math 3 graph
20+.05x=5+.10x x=minutes
Cannot be drawn in quizlet

38. What does the square root function look like on a graph?
F(x+c) and f(x-c)
Equation of a line
(-infinity - +infinity)
Line ascending to the right gradually

39. How many ranges can you have for each domain?
Only one
Square Root
Horizontal
F(x)=+c and f(x)-c

40. What is the horizontal line formula?
Y=b
Any set of ordered pairs
F(x2)-f(x1) / x2-x1
F(x)=+c and f(x)-c

41. What is the formula in both horizontal stretching and horizontal shrinking?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
[0 -+infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F of g and g of f

42. What does the square root function look like on a graph?
Line ascending to the right gradually
Y=x^2 - graph
(-infinity - +infinity)
Even

43. 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
F(x)=+c and f(x)-c
Parabola - up one and right three
As many as you like

44. What is the range for a standard quadratic function?
Y=10
Cannot be drawn in quizlet
(-infinity - +infinity)
(-infinity - 0]you[0 - +infinity)

45. What are the algebra of functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y
F(x2)-f(x1) / x2-x1

46. What does the average rate of change formula solve?
The slope of a line containing two points
Odd
F(x)=suare root of x
Square Root

47. Draw or discuss a constant function
Cannot be drawn in quizlet
Horizontal left
Y=b
A V

48. What are the calculator instructions for the cube root function?
Mirror image neg quadrant to that of the positive quandrant
X2-x1 because the demonaitor of a quotient can never equal zero
Square Root
Math 4 x - graph

49. Which direction does f(x)=+c move in standard absolute value formula?
Y= then enter the number then press graph
Up
(-infinity - +infinity)
Inconsistant

50. What is a constant function?
A V
Down
20+.05x=5+.10x x=minutes
F(x^1)=f(x^2)