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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. Of the seven of algebra's common graph's how many are neither?
Down
Square Root
Y=x - identity function
Yes because two x's or domains can point to one y

2. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Cannot be drawn in quizlet
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
45 degree angle

3. What are the calculator instructions for the standard cubic function?
Cannot be drawn in quizlet
Negative inverse
X math 3 graph
Even

4. What type of slope do you have when m=? and the line is vertical?
Undefined slope
F(x+h)-f(x)/h h cannot equal zero
(-infinity - +infinity)
X2-x1 because the demonaitor of a quotient can never equal zero

5. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
F of g and g of f
The opposite coordinates
Odd

6. What can we substitute for f(x)?
(-infinity - +infinity)
F(x)=+c and f(x)-c
Y
F(x+h)-f(x)/h h cannot equal zero

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

8. What is the domain of a square root function?
[0 -+infinity)
The slope of a line containing two points
C>1 - horizontal shrinking
Down

9. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Even
Approach neg toward x through zero and above positive close to x
1 -2 -3
Negative inverse

10. Draw or discuss an increasing function
Piecewise
(-infinity - 0]you[0 - +infinity)
Cannot be drawn in quizlet
F(x) = x

11. x=all real numbers is what type of an equation?
The opposite coordinates
F(x^1)=f(x^2)
Identity
45 degree angle

12. What is the slope of a perpendicular line?
X2-x1 because the demonaitor of a quotient can never equal zero
[0 -+infinity)
Undefined slope
Negative inverse

13. x= a real number is what type of equation?
Perpendicular line
F(x)=IxI
Because the demintor of a quotient can never equal zero
Conditional

14. What is the range of the cube root function?
(-infinity - +infinity)
Square Root
Y=IxI
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

15. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
M
2nd key - x^2 - graph
Identity

16. What can we substitute for f(x)?
Parabola - up one and right three
Y
Cannot be drawn in quizlet
(-infinity - +infinity)

17. What does the square root function look like on a graph?
Cannot be drawn in quizlet
Postiive slope
(-infinity - +infinity)
Line ascending to the right gradually

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

19. Draw or discuss a constant function
Cannot be drawn in quizlet
Three odd - cube root - identity - standard cubic
Down
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

20. When is the only time (-infinity - +infinity) is not the domain?
F(x2)-f(x1) / x2-x1
In a quotient
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)

21. What type of line is a constant function?
Horizontal
(-infinity - +infinity)
The second set of components of an ordered pair
Yes because two x's or domains can point to one y

22. What does the absolute value function look like?
A V
[0 -+infinity)
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)

23. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
0<c<1 - horizontal stretching
20+.05x=5+.10x x=minutes
Yes because two x's or domains can point to one y

24. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Y
2nd key - x^2 - graph
(f+g) - (f-g) - (fg) - (f/g) all of x
Yes - all the domains points to one range

25. What is the formula for the square root function?
F(x)=suare root of x
F(x+h)-f(x)/h h cannot equal zero
Cannot be drawn in quizlet
Y=x^2 - graph

26. What type of line is an identity function?
Horizontal left
Horizontal
The second set of components of an ordered pair
45 degree angle

27. What is the range of an identity function?
(-infinity - +infinity)
Neither
Postiive slope
Postiive slope

28. What shape is the standard quadratic function?
2nd catalog (zero key -) abs(x) - graph
Parabola
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
As many as you like

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

30. What are the steps for solving a word problem?
Zero slope
45 degree angle
Three odd - cube root - identity - standard cubic
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

31. What are two examples of composit functions?
Negative slope
F(x)=3 square root x
F of g and g of f
Identity

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

33. What type of line is a constant function?
C>1 - horizontal shrinking
Mirror image neg quadrant to that of the positive quandrant
Horizontal
Negative slope

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

35. What is the formula for slope?
Postiive slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
Parabola
X math 3 graph

36. What is the formula for an identity function?
Math 4 x - graph
Conditional
F(x) = x
45 degree angle

37. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
The single number y=
4 -6 -9
Odd
Y=x^2 - graph

38. What is the range of the constant function?
45 degree angle
Down
Identity
The single number y=

39. What is a constant function?
Set the x and y to zero and get the intercepts and then plot the points
F(x^1)=f(x^2)
Horizontal
F of g and g of f

40. What does the average rate of change formula solve?
The slope of a line containing two points
0<c<1 - horizontal stretching
Line ascending to the right gradually
Horizontal left

41. What equation does every line have? Discuss the variables.
(-infinity - +infinity)
Postiive slope
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.
Zero slope

42. What is the range of an identity function?
Line ascending to the right gradually
Odd
(-infinity - +infinity)
Piecewise

43. Is a standard quadratic function even - odd or neither?
Yes because two x's or domains can point to one y
Even
F(x2)-f(x1) / x2-x1
2nd catalog (zero key -) abs(x) - graph

44. How many domains can you have pointing to one range?
As many as you like
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
X math 3 graph
X is the hours to repair the boat. $1603-532=anwser/63 = x

45. What points do you use to plot the inverse on a graph?
(-infinity - +infinity)
The opposite coordinates
45 degree angle
Cannot be drawn in quizlet

46. y=f(cx) - What does this formula represent?
The minimum or maximum points
(-infinity - +infinity)
Perpendicular line
C>1 - horizontal shrinking

47. How many ranges can you have for each domain?
F(x+c) and f(x-c)
X is the hours to repair the boat. $1603-532=anwser/63 = x
0<c<1 - horizontal stretching
Only one

48. $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
Even
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(x2)-f(x1) / x2-x1

49. In an identity function if f(10)=x than What is y?
Horizontal right
As many as you like
(-infinity - +infinity)
Y=10

50. When is the only time (-infinity - +infinity) is not the domain?
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.
The slope of a line containing two points
Equation of a line
In a quotient