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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 does the graph of the cube root function look like on the graph?
The secant line
Because the demintor of a quotient can never equal zero
Approach neg toward x through zero and above positive close to x
Y=IxI

2. What equation does every line have? Discuss the variables.
Parraelle line
A V
Cannot be drawn in quizlet
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. How many ranges can you have for each domain?
Only one
Down
Yes because two x's or domains can point to one y
Identity

4. What are the calculator instructions for a standard quadratic equation?
Y=x^2 - graph
(-infinity - +infinity)
Postiive slope
(-infinity - +infinity)

5. How are functions normally written?
(-infinity - 0]you[0 - +infinity)
Square Root
As equations
(-infinity - 0]you[0 - +infinity)

6. Two vertical lines side by side are a symbol for what
Negative inverse
Y=b
Parraelle line
F(x)=suare root of x

7. What does the graph of the cube root function look like on the graph?
[0 -+infinity)
Down
Approach neg toward x through zero and above positive close to x
Up

8. Which direction does f(x-c) move
The secant line
Even
Horizontal right
F(x) = x

9. What is the formula for the standard cubic function?
(-infinity - 0]you[0 - +infinity)
F(x)=x^3
Yes - all the domains points to one range
Horizontal left

10. What are the calculator instructions for the standard cubic function?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
X math 3 graph
Only one
Only one

11. How do you graph Ax+By+C=0?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Any set of ordered pairs
Set the x and y to zero and get the intercepts and then plot the points
20+.05x=5+.10x x=minutes

12. How many domains can you have pointing to one range?
Odd
Negative slope
As many as you like
In a quotient

13. What is a constant function?
Any set of ordered pairs
F(x^1)=f(x^2)
45 degree angle
Set the x and y to zero and get the intercepts and then plot the points

14. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Undefined
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
The second set of components of an ordered pair

15. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
X2-x1 because the demonaitor of a quotient can never equal zero
X = the original sale price and the formula is x - .40x =$276
Y=IxI

16. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
X = the original sale price and the formula is x - .40x =$276
Horizontal right
X^2

17. What is the domain for an absolute value function?
Y=x - identity function
Y=10
F(x)=suare root of x
(-infinity - +infinity)

18. x= a real number is what type of equation?
Yes because two x's or domains can point to one y
Conditional
Cannot be drawn in quizlet
Horizontal right

19. What are the steps for solving a word problem?
Yes because two x's or domains can point to one y
F(x)=suare root of x
(-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

20. What is an identity function?
45 degree angle
The secant line
The slope of a line containing two points
Same

21. What is a function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Postiive slope
Y=IxI
(-infinity - +infinity)

22. Draw or discuss a constant function
X math 3 graph
Absolute Value - Constant and Standard Quadratic
Cannot be drawn in quizlet
The second set of components of an ordered pair

23. What type of line is an identity function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Horizontal right
45 degree angle
Change in y / change in x = rise / run = y2-y1 / x2-x1

24. What is the formula for the square root function?
Inconsistant
F(x)=suare root of x
No because you cannot have one domain pointing at two y's or ranges
A line passing through two distinct points

25. What is the formula for an absolute value function?
Horizontal left
Identity
Absolute Value - Constant and Standard Quadratic
F(x)=IxI

26. Draw or discuss an increasing function
Odd
Conditional
Even
Cannot be drawn in quizlet

27. What is a relation?
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
Any set of ordered pairs
M

28. What does the standard cubic function look like on a graph?
1 -2 -3
Postiive slope
Even
Mirror image neg quadrant to that of the positive quandrant

29. What is another way to write f(x)=x - what type of function is this?
Y=x - identity function
Three odd - cube root - identity - standard cubic
X=a
Y

30. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
F of g and g of f
4 -6 -9
Perpendicular line
Line ascending to the right gradually

31. What type of function would you use to calculate the most advantageous cell phone plan?
Piecewise
Mirror image neg quadrant to that of the positive quandrant
X^2
As many as you like

32. What does the absolute value function look like?
A V
The slope of a line containing two points
(-infinity - 0]you[0 - +infinity)
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

33. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Inconsitent
20+.05x=5+.10x x=minutes
X = the original sale price and the formula is x - .40x =$276
X^2

34. In an identity function if f(10)=x than What is y?
A line passing through two distinct points
Set the x and y to zero and get the intercepts and then plot the points
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=10

35. What is the slope intercept formula? Define all the variables.
F(x)=IxI
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.
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Inconsitent

36. What can we substitute for f(x)?
Even
Y
Change in y / change in x = rise / run = y2-y1 / x2-x1
Set the x and y to zero and get the intercepts and then plot the points

37. How many ranges can you have for each domain?
Only one
Neither
F(x^1)=f(x^2)
X math 3 graph

38. y=f(cx) What does this formula represent?
Negative slope
Neither
Approach neg toward x through zero and above positive close to x
0<c<1 - horizontal stretching

39. What is the line called that illustrates the straight line between the two points when showing average rate of change?
F(x)=suare root of x
The secant line
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - 0]you[0 - +infinity)

40. What is the domain for the standard cubic function?
A line passing through two distinct points
(-infinity - +infinity)
Up
Parabola

41. What is the formula for the cube root function?
[0 -+infinity)
F(x)=3 square root x
F(x)=suare root of x
F of g and g of f

42. What type of slope do vertical lines have?
2nd catalog (zero key -) abs(x) - graph
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=x^2 - graph
Undefined

43. What is an identity function?
Set the x and y to zero and get the intercepts and then plot the points
F(x+h)-f(x)/h h cannot equal zero
45 degree angle
F(x) = x

44. What is the domain of a square root function?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
F of g and g of f
Same
[0 -+infinity)

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

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46. What is the domain of an identity function?
(-infinity - +infinity)
Odd
Y=IxI
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.

47. What are the four steps for solving a linear equation?
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.
(-infinity - 0]you[0 - +infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
[0 -+infinity)

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

49. What is the range of a square root function?
Inconsitent
[0 -+infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
The second set of components of an ordered pair

50. What is the formula in both horizontal stretching and horizontal shrinking?
(-infinity - +infinity)
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
45 degree angle
Y= then enter the number then press graph