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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. standard absolute value - horizontal shift formulas for left and right
2nd key - x^2 - graph
As many as you like
F(x+c) and f(x-c)
Horizontal right

2. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Y=IxI
X is the hours to repair the boat. $1603-532=anwser/63 = x
0<c<1 - horizontal stretching

3. Is an absolute value function even - odd or neither?
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
Even
Y

4. Why can h not equal zero in the difference of a quotient function formula?
Conditional
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero
Absolute Value - Constant and Standard Quadratic

5. What type of line is a constant function?
Neither
Horizontal
Even
Identity

6. What is the slope intercept formula? Define all the variables.
Cannot be drawn in quizlet
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Mirror image neg quadrant to that of the positive quandrant
M

7. Is the square root function odd - even or neither?
Neither
Parabola - up one and right three
X2-x1 because the demonaitor of a quotient can never equal zero
The second set of components of an ordered pair

8. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
Y=10
Even
(-infinity - +infinity)

9. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=b
F(x)=x^3
When does a graph not define y as a function of x?

10. What is the vertex?
As many as you like
1 -2 -3
The minimum or maximum points
45 degree angle

11. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Parabola
4 -6 -9
Postiive slope
Yes - all the domains points to one range

12. What are the algebra of functions?
As many as you like
Undefined slope
Square Root
(f+g) - (f-g) - (fg) - (f/g) all of x

13. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
C>1 - horizontal shrinking
[0 -+infinity)
Y=10

14. What points do you use to plot the inverse on a graph?
The opposite coordinates
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
(-infinity - +infinity)
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

15. 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
Yes - all the domains points to one range
Math 4 x - graph
Undefined

16. In an identity function if f(10)=x than What is y?
Y=10
Odd
F(x+h)-f(x)/h h cannot equal zero
Down

17. What can never equal zero in the slope formula and why?
X2-x1 because the demonaitor of a quotient can never equal zero
Horizontal
F(x+h)-f(x)/h h cannot equal zero
Cannot be drawn in quizlet

18. 4(x-7)=4x-28 is what type of an equation?
1 -2 -3
Y
Identity
(-infinity - +infinity)

19. Draw or discuss an increasing function
Cannot be drawn in quizlet
The single number y=
45 degree angle
The minimum or maximum points

20. What is the vertical line test?
Conditional
When does a graph not define y as a function of x?
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)

21. What are two examples of composit functions?
F of g and g of f
Change in y / change in x = rise / run = y2-y1 / x2-x1
Identity
Y=x - identity function

22. What does the standard cubic function look like on a graph?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F(x)=x^3
As many as you like
Mirror image neg quadrant to that of the positive quandrant

23. What is the standard quadratic function?
X^2
F(x+c) and f(x-c)
Parabola - up one and right three
F(x)=+c and f(x)-c

24. What is the range of an identity function?
(-infinity - +infinity)
Inconsitent
Function notation
F(x) = x

25. What is the domain for an absolute value function?
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
Piecewise
Undefined slope

26. What is the domain for the standard cubic function?
Same
The single number y=
X=a
(-infinity - +infinity)

27. What is the domain for an absolute value function?
F(x)=suare root of x
(-infinity - +infinity)
Math 4 x - graph
Identity

28. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
Y= then enter the number then press graph
Undefined slope
F(x) = x

29. What type of line is an identity function?
Odd
F(x2)-f(x1) / x2-x1
Y=x - identity function
45 degree angle

30. How do you calculate a constant function in your calculator?
Set the x and y to zero and get the intercepts and then plot the points
Line ascending to the right gradually
Inconsitent
Y= then enter the number then press graph

31. What is the domain of a square root function?
F of g and g of f
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.
As many as you like
[0 -+infinity)

32. What type of slope do you have when a line falls left to right and m<0?
Approach neg toward x through zero and above positive close to x
C>1 - horizontal shrinking
Negative slope
X^2

33. Is a standard quadratic function even - odd or neither?
Even
(-infinity - 0]you[0 - +infinity)
The single number y=
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

34. What are the algebra of functions?
Parabola - up one and right three
Parabola - up one and right three
(f+g) - (f-g) - (fg) - (f/g) all of x
Undefined

35. What can we substitute for f(x)?
Set the x and y to zero and get the intercepts and then plot the points
Perpendicular line
Y
(-infinity - +infinity)

36. What type of line is a constant function?
Yes because two x's or domains can point to one y
C>1 - horizontal shrinking
Horizontal
Y=10

37. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
Y= then enter the number then press graph
[0 -+infinity)
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

38. How many ranges can you have for each domain?
Only one
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.
Absolute Value - Constant and Standard Quadratic
F(x)=+c and f(x)-c

39. What is a function?
(-infinity - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Undefined
C>1 - horizontal shrinking

40. What is the formula for an absolute value function?
Undefined
The slope of a line containing two points
F(x)=IxI
(-infinity - +infinity)

41. $50000 is the original investment - you will invest the money at two seperate interest rates 15% and 7% and the yield is $6000. What is x and What is the formula?
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
(-infinity - +infinity)
Y=x - identity function
Negative slope

42. What type of line is a constant function?
Same
Parabola
Horizontal
Horizontal right

43. How are functions normally written?
(-infinity - +infinity)
As equations
X=a
Y= then enter the number then press graph

44. What is the formula for to calculate the difference of a quotient function?
F(x+h)-f(x)/h h cannot equal zero
Postiive slope
Y= then enter the number then press graph
X^2

45. What points do you use to plot the inverse on a graph?
F(x)=+c and f(x)-c
The opposite coordinates
Y=10
Mirror image neg quadrant to that of the positive quandrant

46. What is another way of writing the absolute value function?
The slope of a line containing two points
(-infinity - +infinity)
Horizontal
Y=IxI

47. Is a standard quadratic function even - odd or neither?
Piecewise
Y
Even
Same

48. 4(x-7)=4x+28 is what type of an equation?
45 degree angle
(-infinity - +infinity)
F of g and g of f
Inconsitent

49. What does the graph of the cube root function look like on the graph?
Equation of a line
Approach neg toward x through zero and above positive close to x
Yes - all the domains points to one range
X=a

50. What is the range of a square root function?
Absolute Value - Constant and Standard Quadratic
[0 -+infinity)
F(x)=IxI
C>1 - horizontal shrinking