Test your basic knowledge |

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. Is a constant function even - odd or neither?
Even
Parraelle line
F(x)=x^3
F(x^1)=f(x^2)

2. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
1 -2 -3
Y= then enter the number then press graph
2nd catalog (zero key -) abs(x) - graph
Inconsitent

3. What are the calculator instructions for the cube root function?
A line passing through two distinct points
Math 4 x - graph
Cannot be drawn in quizlet
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

4. What type of line is a constant function?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Mirror image neg quadrant to that of the positive quandrant
Horizontal
F(x+h)-f(x)/h h cannot equal zero

5. What type of slope do vertical lines have?
Y
Y=10
1 -2 -3
Undefined

6. Is an absolute value function even - odd or neither?
Even
Negative slope
Y=b
Parabola

7. What does the graph of the cube root function look like on the graph?
Cannot be drawn in quizlet
F(x) = x
Approach neg toward x through zero and above positive close to x
Yes because two x's or domains can point to one y

8. What are the calculator instructions for the standard cubic function?
Yes - all the domains points to one range
X math 3 graph
45 degree angle
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly

9. What are the four steps for finding the inverse of a function?
F(x) = x
F(x)=x^3
Only one
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse

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

11. What is the formula for the square root function?
Odd
F of g and g of f
F(x)=suare root of x
45 degree angle

12. What are two examples of composit functions?
F of g and g of f
F(x^1)=f(x^2)
2nd key - x^2 - graph
(-infinity - +infinity)

13. Which direction does f(x)=+c move in standard absolute value formula?
Inconsitent
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
Up
(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?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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.
Only one
Same

15. What equation does every line have? Discuss the variables.
In a quotient
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.
Down
Piecewise

16. What is the average rate of change formula?
Parabola
Negative slope
(-infinity - +infinity)
F(x2)-f(x1) / x2-x1

17. How do you graph Ax+By+C=0?
Approach neg toward x through zero and above positive close to 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
Y=10
Set the x and y to zero and get the intercepts and then plot the points

18. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
Y
Perpendicular line
(-infinity - +infinity)

19. What is the horizontal line formula?
Y=b
F(x)=3 square root x
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.
F(x)=IxI

20. What is the formula for slope?
Change in y / change in x = rise / run = y2-y1 / x2-x1
2nd catalog (zero key -) abs(x) - graph
Zero slope
(-infinity - +infinity)

21. What does the absolute value function look like?
(f+g) - (f-g) - (fg) - (f/g) all of x
Yes because two x's or domains can point to one y
A V
Y=10

22. 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.
(-infinity - +infinity)
Up
Down

23. What does the average rate of change formula solve?
The slope of a line containing two points
Line ascending to the right gradually
Parabola
Only one

24. What is the formula for an identity function?
F(x) = x
Odd
Only one
Horizontal

25. How do you calculate a constant function in your calculator?
Parabola
Square Root
The opposite coordinates
Y= then enter the number then press graph

26. What can we substitute for f(x)?
Neither
Y
4 -6 -9
As equations

27. What type of slope do you have when m=? and the line is vertical?
[0 -+infinity)
(-infinity - +infinity)
Undefined slope
X2-x1 because the demonaitor of a quotient can never equal zero

28. What is the domain and range of a constant function?
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)
(-infinity - 0]you[0 - +infinity)
Negative inverse

29. What are the calculator instructions for a square root function?
F(x)=+c and f(x)-c
Parabola
2nd key - x^2 - graph
Any set of ordered pairs

30. What is slope?
X math 3 graph
A line passing through two distinct points
C>1 - horizontal shrinking
Inconsistant

31. Repair bill for a boat is $1 -603. $532 is for parts and it's $63 per hour for labor. How many hours does it take to fix the boat and What is x?
Conditional
The secant line
X is the hours to repair the boat. $1603-532=anwser/63 = x
Cannot be drawn in quizlet

32. What is the range for the standard cubic function?
Absolute Value - Constant and Standard Quadratic
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
Conditional

33. What is the domain and range of a constant function?
The minimum or maximum points
X = the original sale price and the formula is x - .40x =$276
Same
(-infinity - +infinity)

34. What is the vertical line formula?
Undefined
[0 -+infinity)
X=a
F(x+h)-f(x)/h h cannot equal zero

35. What is the formula for the standard cubic function?
Cannot be drawn in quizlet
As many as you like
F(x)=x^3
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.

36. When is the only time (-infinity - +infinity) is not the domain?
In a quotient
(-infinity - 0]you[0 - +infinity)
0<c<1 - horizontal stretching
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040

37. How many domains can you have pointing to one range?
Equation of a line
Three odd - cube root - identity - standard cubic
As many as you like
X=a

38. Draw or discuss a decreasing function
0<c<1 - horizontal stretching
Cannot be drawn in quizlet
F(x^1)=f(x^2)
45 degree angle

39. What equation does every line have? Discuss the variables.
Parabola
Y=b
(-infinity - +infinity)
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.

40. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
20+.05x=5+.10x x=minutes
Y=x - identity function
M
A V

41. What is the range of the cube root function?
Undefined slope
Square Root
(-infinity - +infinity)
Y=x - identity function

42. What is another way of writing the absolute value function?
Y=IxI
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
X2-x1 because the demonaitor of a quotient can never equal zero
Yes - all the domains points to one range

43. What is the formula for to calculate the difference of a quotient function?
The opposite coordinates
The single number y=
Yes - all the domains points to one range
F(x+h)-f(x)/h h cannot equal zero

44. What type of line is an identity function?
45 degree angle
F(x)=3 square root x
Set the x and y to zero and get the intercepts and then plot the points
X^2

45. What shape is the standard quadratic function?
Inconsistant
Parabola
(-infinity - +infinity)
[0 -+infinity)

46. f(x) = x^2+3x+5 - what type of formula is this?
Function notation
[0 -+infinity)
Y=b
Horizontal left

47. What is the range of the constant function?
(-infinity - +infinity)
The slope of a line containing two points
The single number y=
Inconsitent

48. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Approach neg toward x through zero and above positive close to x
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x)=+c and f(x)-c
Yes - all the domains points to one range

49. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
(-infinity - +infinity)
F of g and g of f
45 degree angle

50. What is the domain for a standard quadratic function?
F(x)=suare root of x
X^2
Identity
(-infinity - +infinity)