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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 are two examples of composit functions?
Same
F(x)=x^3
F of g and g of f
Cannot be drawn in quizlet

2. Is the standard cubic function odd - even or neither?
Odd
Negative slope
20+.05x=5+.10x x=minutes
Horizontal

3. Draw or discuss a constant function
(-infinity - +infinity)
In a quotient
Cannot be drawn in quizlet
20+.05x=5+.10x x=minutes

4. What are the algebra of functions?
F(x)=suare root of x
F of g and g of f
(f+g) - (f-g) - (fg) - (f/g) all of x
Odd

5. What are the algebra of functions?
(-infinity - 0]you[0 - +infinity)
F(x^1)=f(x^2)
(f+g) - (f-g) - (fg) - (f/g) all of x
Parabola

6. What are the calculator instructions for the standard cubic function?
Odd
Math 4 x - graph
X^2
X math 3 graph

7. How do you graph Ax+By+C=0?
Because the demintor of a quotient can never equal zero
4 -6 -9
Set the x and y to zero and get the intercepts and then plot the points
X^2

8. 4(x-7)=4x-28 is what type of an equation?
2nd key - x^2 - graph
[0 -+infinity)
F(x)=suare root of x
Identity

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

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10. What does the average rate of change formula solve?
The slope of a line containing two points
Undefined slope
The minimum or maximum points
Function notation

11. What is slope?
Math 4 x - graph
(-infinity - 0]you[0 - +infinity)
Function notation
A line passing through two distinct points

12. 4(x-7)=4x+28 is what type of an equation?
(-infinity - +infinity)
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.
Square Root
Inconsitent

13. What is a domain?
Cannot be drawn in quizlet
(-infinity - +infinity)
The first set of components of an ordered pair
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope

14. How many ranges can you have for each domain?
(f+g) - (f-g) - (fg) - (f/g) all of x
Only one
Down
The slope of a line containing two points

15. What type of slope do you have when m=? and the line is vertical?
(-infinity - +infinity)
The second set of components of an ordered pair
Undefined slope
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

16. What is slope?
The second set of components of an ordered pair
Even
Conditional
A line passing through two distinct points

17. What does linear equation mean?
F(x)=+c and f(x)-c
20+.05x=5+.10x x=minutes
Equation of a line
(-infinity - +infinity)

18. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
2nd key - x^2 - graph
Cannot be drawn in quizlet
The second set of components of an ordered pair

19. An American Football field is 200 feet longer than it's width. The perimeter is 1040. What are the dimensions?
Negative inverse
2nd catalog (zero key -) abs(x) - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Function notation

20. What is another way to write f(x)=x - what type of function is this?
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y=x - identity function
Set the x and y to zero and get the intercepts and then plot the points
[0 -+infinity)

21. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Approach neg toward x through zero and above positive close to x
1 -2 -3
Horizontal
(-infinity - +infinity)

22. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
2nd key - x^2 - graph
20+.05x=5+.10x x=minutes
Set the x and y to zero and get the intercepts and then plot the points
Conditional

23. standard absolute value - vertical shift formulas for positve and negative
Perpendicular line
F(x)=+c and f(x)-c
Same
F(x)=IxI

24. What is the formula for the standard cubic function?
Piecewise
F(x)=x^3
F(x)=3 square root x
20+.05x=5+.10x x=minutes

25. What is a constant function?
(f+g) - (f-g) - (fg) - (f/g) all of x
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
F(x^1)=f(x^2)
Inconsistant

26. What type of line is a constant function?
(-infinity - 0]you[0 - +infinity)
Neither
Horizontal
F(x)=suare root of x

27. What is the formula for an absolute value function?
F(x)=IxI
The single number y=
(-infinity - +infinity)
Even

28. What are the four steps for finding the inverse of a function?
0<c<1 - horizontal stretching
Even
Even
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 is another way of writing the absolute value function?
(-infinity - +infinity)
Y=IxI
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Parabola - up one and right three

30. x=no real numbers is what type of an equation?
The minimum or maximum points
Y=10
0<c<1 - horizontal stretching
Inconsistant

31. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
Even
The minimum or maximum points

32. What are the steps for solving a word problem?
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
Horizontal
(-infinity - +infinity)

33. Which direction does f(x-c) move
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Horizontal right
A V
Math 4 x - graph

34. Is a standard quadratic function even - odd or neither?
Even
Square Root
X math 3 graph
Horizontal right

35. What is the formula in both horizontal stretching and horizontal shrinking?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Y=x^2 - graph
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)

36. x=all real numbers is what type of an equation?
Identity
The first set of components of an ordered pair
2nd key - x^2 - graph
Horizontal right

37. What is the vertex?
The minimum or maximum points
(-infinity - +infinity)
Three odd - cube root - identity - standard cubic
Conditional

38. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
Y
Three odd - cube root - identity - standard cubic
Zero slope

39. What is the domain of an identity function?
Perpendicular line
(-infinity - +infinity)
Postiive slope
Only one

40. What is the domain of the cube root function?
Neither
Any set of ordered pairs
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero

41. What are the calculator instructions for the cube root function?
F(x)=IxI
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
2nd catalog (zero key -) abs(x) - graph

42. When is the only time (-infinity - +infinity) is not the domain?
(-infinity - +infinity)
Change in y / change in x = rise / run = y2-y1 / x2-x1
In a quotient
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph

43. Of the seven of algebra's common graph's how many are odd?
Three odd - cube root - identity - standard cubic
20+.05x=5+.10x x=minutes
Identity
Conditional

44. What is the domain of a square root function?
[0 -+infinity)
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)=suare root of x
Horizontal

45. What equation does every line have? Discuss the variables.
(-infinity - +infinity)
F(x)=3 square root x
Parraelle line
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.

46. What can never equal zero in the slope formula and why?
2nd catalog (zero key -) abs(x) - graph
Y=x - identity function
Cannot be drawn in quizlet
X2-x1 because the demonaitor of a quotient can never equal zero

47. How many domains can you have pointing to one range?
As many as you like
F of g and g of f
Cannot be drawn in quizlet
F(x+c) and f(x-c)

48. What is the domain of a square root function?
Down
Horizontal left
[0 -+infinity)
2nd catalog (zero key -) abs(x) - graph

49. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
Y=x^2 - graph
20+.05x=5+.10x x=minutes
0<c<1 - horizontal stretching

50. Draw or discuss an increasing function
Parabola
Y
Conditional
Cannot be drawn in quizlet