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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 and range of a constant function?
Horizontal
Up
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
(-infinity - +infinity)

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

3. What is the domain of an identity function?
Function notation
Even
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)

4. What type of slope do you have when the line is horizontal and m=0?
No because you cannot have one domain pointing at two y's or ranges
Y=IxI
Zero slope
Even

5. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
No because you cannot have one domain pointing at two y's or ranges
F(x)=x^3
20+.05x=5+.10x x=minutes
Math 4 x - graph

6. What are the calculator instructions for absolute value?
2nd catalog (zero key -) abs(x) - graph
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x)=+c and f(x)-c
(-infinity - +infinity)

7. Draw or discuss an increasing function
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Y=IxI
The minimum or maximum points
Cannot be drawn in quizlet

8. What shape is the standard quadratic function?
Parabola
Even
(-infinity - 0]you[0 - +infinity)
F of g and g of f

9. Is an identity function even - odd or neither?
The second set of components of an ordered pair
C>1 - horizontal shrinking
Odd
(-infinity - +infinity)

10. Is a constant function even - odd or neither?
Y=b
Even
Horizontal right
Equation of a line

11. 4x+5x=8x is what type of an equation?
Y=IxI
(-infinity - 0]you[0 - +infinity)
Conditional
Parraelle line

12. What is the formula for an identity function?
F(x) = x
Postiive slope
F(x)=IxI
The minimum or maximum points

13. Is the square root function odd - even or neither?
The secant line
Parraelle line
As many as you like
Neither

14. 4x+5x=8x is what type of an equation?
Conditional
Odd
The secant line
Inconsitent

15. What can we substitute for f(x)?
The first set of components of an ordered pair
F(x)=x^3
Y
Identity

16. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
2nd catalog (zero key -) abs(x) - graph
The single number y=
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.

17. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Square Root
Neither
Math 4 x - 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

18. What is the formula for to calculate the difference of a quotient function?
Same
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.
F(x+h)-f(x)/h h cannot equal zero
Piecewise

19. What is the range for the standard cubic function?
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1
Even
(f+g) - (f-g) - (fg) - (f/g) all of x

20. What is the vertex?
The minimum or maximum points
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
X math 3 graph

21. Which direction does f(x)=+c move in standard absolute value formula?
F(x)=+c and f(x)-c
Down
Up
Odd

22. What is the line called that illustrates the straight line between the two points when showing average rate of change?
X=a
Inconsistant
The secant line
Neither

23. How do you calculate a constant function in your calculator?
Y= then enter the number then press graph
(-infinity - +infinity)
Perpendicular line
Identity

24. How are functions normally written?
As equations
Perpendicular line
Set the x and y to zero and get the intercepts and then plot the points
Y

25. What is an identity function?
Any set of ordered pairs
As many as you like
45 degree angle
Inconsitent

26. What is the domain for an absolute value function?
Set the x and y to zero and get the intercepts and then plot the points
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
(-infinity - +infinity)
Cannot be drawn in quizlet

27. When is the only time (-infinity - +infinity) is not the 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.
Horizontal
Piecewise
In a quotient

28. x= a real number is what type of equation?
Conditional
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
Inconsitent
Horizontal left

29. What is a domain?
The first set of components of an ordered pair
Y=IxI
Even
No because you cannot have one domain pointing at two y's or ranges

30. What is the formula for slope?
Zero slope
Y
Change in y / change in x = rise / run = y2-y1 / x2-x1
Because the demintor of a quotient can never equal zero

31. What type of line is a constant function?
Horizontal
Identity
Line ascending to the right gradually
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

32. What are the calculator instructions for the cube root function?
Y=x^2 - graph
Math 4 x - graph
Even
F(x^1)=f(x^2)

33. What does the square root function look like on a graph?
Y= then enter the number then press 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.
Line ascending to the right gradually
Inconsistant

34. What type of function would you use to calculate the most advantageous cell phone plan?
F(x)=+c and f(x)-c
Piecewise
Identity
F(x^1)=f(x^2)

35. In an identity function if f(10)=x than What is y?
Conditional
Y=10
The secant line
Postiive slope

36. y=f(cx) - What does this formula represent?
Cannot be drawn in quizlet
(-infinity - +infinity)
(-infinity - +infinity)
C>1 - horizontal shrinking

37. What does the standard cubic function look like on a graph?
Mirror image neg quadrant to that of the positive quandrant
Postiive slope
Even
In a quotient

38. Of the seven of algebra's common graph's how many are neither?
(-infinity - +infinity)
Postiive slope
Square Root
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

39. What type of slope do you have when the line is horizontal and m=0?
As equations
Zero slope
F(x2)-f(x1) / x2-x1
F(x)=x^3

40. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
C>1 - horizontal shrinking
Parraelle line
As equations

41. What is the average rate of change formula?
(-infinity - +infinity)
The single number y=
F(x2)-f(x1) / x2-x1
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.

42. Is an absolute value function even - odd or neither?
The single number y=
(-infinity - +infinity)
(-infinity - +infinity)
Even

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

44. What is another way of writing the absolute value function?
C>1 - horizontal shrinking
(-infinity - 0]you[0 - +infinity)
Horizontal
Y=IxI

45. What type of slope do you have when m=? and the line is vertical?
X = the original sale price and the formula is x - .40x =$276
As equations
Undefined slope
Parabola - up one and right three

46. Which direction does f(x)=+c move in standard absolute value formula?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
F(x+h)-f(x)/h h cannot equal zero
Up
[0 -+infinity)

47. What is the letter used to represent slope?
(-infinity - 0]you[0 - +infinity)
The second set of components of an ordered pair
2nd catalog (zero key -) abs(x) - graph
M

48. What are the calculator instructions for a standard quadratic equation?
(-infinity - +infinity)
Y=x^2 - graph
[0 -+infinity)
Identity

49. y=f(cx) - What does this formula represent?
Y=x - identity function
F(x)=suare root of x
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
C>1 - horizontal shrinking

50. What type of slope do vertical lines have?
Undefined
Cannot be drawn in quizlet
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Function notation