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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 the cube root function?
The second set of components of an ordered pair
Negative slope
Perpendicular line
(-infinity - +infinity)

2. $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?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
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
F(x^1)=f(x^2)

3. What type of slope do you have when m=? and the line is vertical?
2nd catalog (zero key -) abs(x) - graph
As many as you like
Even
Undefined slope

4. y=f(cx) - What does this formula represent?
Yes - all the domains points to one range
X^2
C>1 - horizontal shrinking
Line ascending to the right gradually

5. What points do you use to plot the inverse on a graph?
Horizontal right
Cannot be drawn in quizlet
The second set of components of an ordered pair
The opposite coordinates

6. What is the line called that illustrates the straight line between the two points when showing average rate of change?
In a quotient
Equation of a line
The secant line
Conditional

7. What can never equal zero in the slope formula and why?
(-infinity - +infinity)
Yes because two x's or domains can point to one y
Absolute Value - Constant and Standard Quadratic
X2-x1 because the demonaitor of a quotient can never equal zero

8. When is the only time (-infinity - +infinity) is not the domain?
Function notation
X2-x1 because the demonaitor of a quotient can never equal zero
In a quotient
Cannot be drawn in quizlet

9. What does the standard cubic function look like on a graph?
Yes - all the domains points to one range
Horizontal left
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Mirror image neg quadrant to that of the positive quandrant

10. What is the formula for the cube root function?
Y=b
Odd
F(x)=3 square root x
Piecewise

11. Which direction does f(x)=+c move in standard absolute value formula?
F(x)=suare root of x
The opposite coordinates
Up
(-infinity - 0]you[0 - +infinity)

12. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Identity
The first set of components of an ordered pair
Cannot be drawn in quizlet

13. What does the square root function look like on a graph?
The opposite coordinates
Yes - all the domains points to one range
Negative inverse
Line ascending to the right gradually

14. What is the domain for the standard cubic function?
(-infinity - +infinity)
Parabola
Horizontal
Identity

15. What is the domain of an identity function?
Yes - all the domains points to one range
Parraelle line
(-infinity - +infinity)
Odd

16. What is the letter used to represent slope?
(-infinity - +infinity)
2nd key - x^2 - graph
Identity
M

17. What type of line is a constant function?
45 degree angle
Horizontal
Y=x - identity function
(-infinity - +infinity)

18. Is an absolute value function even - odd or neither?
Because the demintor of a quotient can never equal zero
(f+g) - (f-g) - (fg) - (f/g) all of x
Even
Undefined

19. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
M
Yes - all the domains points to one range
Y=x^2 - graph
F of g and g of f

20. x=no real numbers is what type of an equation?
Parraelle line
Y
The single number y=
Inconsistant

21. Is the square root function odd - even or neither?
Neither
(-infinity - +infinity)
Even
F(x) = x

22. standard absolute value - horizontal shift formulas for left and right
Identity
Y=IxI
F(x+c) and f(x-c)
(-infinity - +infinity)

23. What does the average rate of change formula solve?
Horizontal
Approach neg toward x through zero and above positive close to x
X = the original sale price and the formula is x - .40x =$276
The slope of a line containing two points

24. Draw or discuss a decreasing function
F(x+h)-f(x)/h h cannot equal zero
Perpendicular line
Even
Cannot be drawn in quizlet

25. What is a function?
Conditional
F(x)=IxI
F(x)=3 square root x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

26. What can we substitute for f(x)?
Down
Y=10
Horizontal right
Y

27. Which direction does f(x)=+c move in standard absolute value formula?
Up
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges
Negative inverse

28. Draw or discuss an increasing function
(-infinity - +infinity)
Cannot be drawn in quizlet
The second set of components of an ordered pair
The slope of a line containing two points

29. What can we substitute for f(x)?
The second set of components of an ordered pair
F(x)=IxI
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

30. In an identity function if f(10)=x than What is y?
Y=10
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.
Conditional
As many as you like

31. What is the vertical line test?
45 degree angle
Horizontal left
When does a graph not define y as a function of x?
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

32. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Conditional
Up
Approach neg toward x through zero and above positive close to x

33. What are the calculator instructions for a square root function?
Odd
Cannot be drawn in quizlet
Even
2nd key - x^2 - graph

34. What is the standard quadratic function?
X^2
Function notation
45 degree angle
Yes because two x's or domains can point to one y

35. f(x) = x^2+3x+5 - what type of formula is this?
F(x)=IxI
Function notation
Horizontal right
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.

36. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Mirror image neg quadrant to that of the positive quandrant
1 -2 -3
Set the x and y to zero and get the intercepts and then plot the points
C>1 - horizontal shrinking

37. What are the four steps for solving a linear equation?
Y=10
Function notation
Line ascending to the right gradually
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.

38. How would this formula move f(x)=(x+1)^2-3
C>1 - horizontal shrinking
(-infinity - +infinity)
Parabola - up one and right three
F(x^1)=f(x^2)

39. Draw or discuss an increasing function
(f+g) - (f-g) - (fg) - (f/g) all of x
Cannot be drawn in quizlet
X^2
Perpendicular line

40. What type of slope do you have when m=? and the line is vertical?
Undefined slope
(-infinity - +infinity)
As equations
F(x^1)=f(x^2)

41. What is the formula for to calculate the difference of a quotient function?
The second set of components of an ordered pair
F(x+h)-f(x)/h h cannot equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
45 degree angle

42. What is the slope of a perpendicular line?
Negative inverse
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

43. What type of function would you use to calculate the most advantageous cell phone plan?
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
Even
F(x)=3 square root x
Piecewise

44. What type of slope do you have when a line falls left to right and m<0?
Mirror image neg quadrant to that of the positive quandrant
Negative slope
Zero slope
Inconsistant

45. What is the point slope formula and when do you use it?
F(x)=suare root of x
Horizontal
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

46. What is the formula for slope?
Inconsitent
Change in y / change in x = rise / run = y2-y1 / x2-x1
Negative slope
(-infinity - +infinity)

47. Draw or discuss a constant function
Zero slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
As many as you like
Cannot be drawn in quizlet

48. Which direction does f(x-c) move
Horizontal right
[0 -+infinity)
Horizontal
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

49. x=no real numbers is what type of an equation?
Line ascending to the right gradually
Inconsistant
Approach neg toward x through zero and above positive close to x
Only one

50. What is the formula in both horizontal stretching and horizontal shrinking?
Perpendicular line
Square Root
F(x)=+c and f(x)-c
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly