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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 vertical line test?
(-infinity - +infinity)
Cannot be drawn in quizlet
Yes because two x's or domains can point to one y
When does a graph not define y as a function of x?

2. What is the range for an absolute value function?
(-infinity - 0]you[0 - +infinity)
4 -6 -9
1 -2 -3
(-infinity - +infinity)

3. What is the range of the cube root function?
Same
Perpendicular line
(-infinity - +infinity)
When does a graph not define y as a function of x?

4. What is the standard quadratic function?
X^2
Y=IxI
Change in y / change in x = rise / run = y2-y1 / x2-x1
Horizontal

5. What can we substitute for f(x)?
When does a graph not define y as a function of x?
Y
Neither
M

6. Is a constant function even - odd or neither?
Even
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
45 degree angle
Negative slope

7. What is another way of writing the absolute value function?
Neither
Y=IxI
Perpendicular line
Cannot be drawn in quizlet

8. How many domains can you have pointing to one range?
As many as you like
Perpendicular line
2nd key - x^2 - graph
Change in y / change in x = rise / run = y2-y1 / x2-x1

9. What are two examples of composit functions?
C>1 - horizontal shrinking
F of g and g of f
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph

10. What is the domain and range of a constant function?
No because you cannot have one domain pointing at two y's or ranges
(-infinity - 0]you[0 - +infinity)
The second set of components of an ordered pair
(-infinity - +infinity)

11. What does the graph of the cube root function look like on the graph?
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.
Approach neg toward x through zero and above positive close to x
Yes because two x's or domains can point to one y
(-infinity - +infinity)

12. 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.
Any set of ordered pairs
Any set of ordered pairs
Up

13. What can never equal zero in the slope formula and why?
Same
Odd
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero

14. What type of slope do you have when a line falls left to right and m<0?
Negative slope
Cannot be drawn in quizlet
Math 4 x - graph
(-infinity - +infinity)

15. What is the domain of an identity function?
A V
X = the original sale price and the formula is x - .40x =$276
(-infinity - +infinity)
The secant line

16. What can we substitute for f(x)?
Y
The second set of components of an ordered pair
A V
F(x^1)=f(x^2)

17. What points do you use to plot the inverse on a graph?
Identity
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Three odd - cube root - identity - standard cubic
The opposite coordinates

18. What are the calculator instructions for the standard cubic function?
Odd
X is the hours to repair the boat. $1603-532=anwser/63 = x
As equations
X math 3 graph

19. Draw or discuss a constant function
Piecewise
(-infinity - +infinity)
Cannot be drawn in quizlet
Down

20. What is the domain for an absolute value function?
Three odd - cube root - identity - standard cubic
Cannot be drawn in quizlet
(-infinity - +infinity)
F(x)=suare root of x

21. What type of line is a constant function?
Horizontal
F(x)=suare root of x
Zero slope
F(x)=x^3

22. What is a relation?
Any set of ordered pairs
F of g and g of f
(-infinity - 0]you[0 - +infinity)
[0 -+infinity)

23. What does the square root function look like on a graph?
The first set of components of an ordered pair
Line ascending to the right gradually
Absolute Value - Constant and Standard Quadratic
Piecewise

24. What is a domain?
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.
Identity
The first set of components of an ordered pair
(-infinity - +infinity)

25. What type of line is an identity function?
Up
Three odd - cube root - identity - standard cubic
No because you cannot have one domain pointing at two y's or ranges
45 degree angle

26. What is the vertical line formula?
Perpendicular line
Negative slope
X=a
(-infinity - +infinity)

27. What is the range of an identity function?
(-infinity - +infinity)
X^2
Parraelle line
The single number y=

28. What are the four steps for finding the inverse of a function?
X=a
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
Function notation
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

29. What shape is the standard quadratic function?
X math 3 graph
45 degree angle
Parabola
F(x2)-f(x1) / x2-x1

30. How many ranges can you have for each domain?
Any set of ordered pairs
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
Even
Only one

31. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Equation of a line
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
(-infinity - +infinity)

32. What is the letter used to represent slope?
M
Only one
2nd key - x^2 - graph
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

33. What type of slope do you have when a line rises from left to right and m>0?
Any set of ordered pairs
[0 -+infinity)
Postiive slope
Inconsistant

34. What is the letter used to represent slope?
Inconsitent
M
Postiive slope
2nd catalog (zero key -) abs(x) - graph

35. $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?
Up
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
Same
Square Root

36. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
X = the original sale price and the formula is x - .40x =$276
Even
[0 -+infinity)
Function notation

37. What is a domain?
Absolute Value - Constant and Standard Quadratic
The first set of components of an ordered pair
Horizontal
(-infinity - +infinity)

38. What is the formula for to calculate the difference of a quotient function?
Perpendicular line
F(x+h)-f(x)/h h cannot equal zero
M
X = the original sale price and the formula is x - .40x =$276

39. When is the only time (-infinity - +infinity) is not the domain?
F(x^1)=f(x^2)
Equation of a line
Cannot be drawn in quizlet
In a quotient

40. What is the point slope formula and when do you use it?
Y=10
Mirror image neg quadrant to that of the positive quandrant
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Change in y / change in x = rise / run = y2-y1 / x2-x1

41. What is the range of the constant function?
The single number y=
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.
Set the x and y to zero and get the intercepts and then plot the points
Zero slope

42. What type of slope do vertical lines have?
X math 3 graph
Postiive slope
Horizontal
Undefined

43. What is the formula for an identity function?
Math 4 x - graph
F(x) = x
Parraelle line
Line ascending to the right gradually

44. What is the domain of an identity function?
(-infinity - +infinity)
The first set of components of an ordered pair
Conditional
Yes because two x's or domains can point to one y

45. Which direction does f(x)=+c move in standard absolute value formula?
Up
F(x)=3 square root x
Function notation
The single number y=

46. What is the formula for the cube root function?
Negative inverse
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
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
F(x)=3 square root x

47. What type of function would you use to calculate the most advantageous cell phone plan?
Postiive slope
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
Piecewise
Y

48. 4x+5x=8x is what type of an equation?
F(x2)-f(x1) / x2-x1
Absolute Value - Constant and Standard Quadratic
As many as you like
Conditional

49. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
F(x)=IxI
Parabola
(-infinity - +infinity)
Yes - all the domains points to one range

50. What is the formula for an absolute value function?
Undefined
Parabola
Down
F(x)=IxI