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Test your basic knowledge |
College Algebra Test
Start Test
Study First
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 of a square root function?
(-infinity - +infinity)
[0 -+infinity)
F(x) = x
Square Root
2. f(x) = x^2+3x+5 - what type of formula is this?
F of g and g of f
As many as you like
2nd catalog (zero key -) abs(x) - graph
Function notation
3. Why can h not equal zero in the difference of a quotient function formula?
Yes because two x's or domains can point to one y
Even
Undefined slope
Because the demintor of a quotient can never equal zero
4. What type of slope do you have when m=? and the line is vertical?
The single number y=
F(x)=3 square root x
No because you cannot have one domain pointing at two y's or ranges
Undefined slope
5. What does the absolute value function look like?
45 degree angle
C>1 - horizontal shrinking
2nd catalog (zero key -) abs(x) - graph
A V
6. What is the range of an identity function?
As many as you like
The minimum or maximum points
(-infinity - +infinity)
2nd catalog (zero key -) abs(x) - graph
7. How many ranges can you have for each domain?
F(x)=suare root of x
Negative slope
Only one
(-infinity - +infinity)
8. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Perpendicular line
4 -6 -9
A V
Y= then enter the number then press graph
9. What are the four steps for solving a linear equation?
Down
(-infinity - 0]you[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.
Because the demintor of a quotient can never equal zero
10. What is the range of an identity function?
(-infinity - +infinity)
Negative inverse
F(x^1)=f(x^2)
F(x+c) and f(x-c)
11. Is a standard quadratic function even - odd or neither?
Mirror image neg quadrant to that of the positive quandrant
Set the x and y to zero and get the intercepts and then plot the points
[0 -+infinity)
Even
12. 4(x-7)=4x-28 is what type of an equation?
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.
A line passing through two distinct points
Identity
Absolute Value - Constant and Standard Quadratic
13. 4(x-7)=4x+28 is what type of an equation?
Inconsitent
Even
Same
[0 -+infinity)
14. What is a constant function?
45 degree angle
Square Root
Cannot be drawn in quizlet
F(x^1)=f(x^2)
15. Is an absolute value function even - odd or neither?
Even
X=a
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - 0]you[0 - +infinity)
16. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
Same
Square Root
1 -2 -3
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
17. What is the range of a square root function?
Y=IxI
[0 -+infinity)
Conditional
Down
18. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Odd
4 -6 -9
Line ascending to the right gradually
19. What type of slope do horizontal lines have?
Same
The secant line
Even
Any set of ordered pairs
20. What does the square root function look like on a graph?
Negative slope
Line ascending to the right gradually
Math 4 x - graph
Inconsitent
21. What is the formula for an identity function?
No because you cannot have one domain pointing at two y's or ranges
Undefined
F(x) = x
F(x)=suare root of x
22. Is the standard cubic function odd - even or neither?
Odd
F(x)=3 square root x
(f+g) - (f-g) - (fg) - (f/g) all of x
Identity
23. What are the four steps for finding the inverse of a function?
(-infinity - +infinity)
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Because the demintor of a quotient can never equal zero
Even
24. Is a constant function even - odd or neither?
As equations
Even
X is the hours to repair the boat. $1603-532=anwser/63 = x
F(x)=suare root of x
25. $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?
Even
Y=b
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
(-infinity - +infinity)
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
The opposite coordinates
(-infinity - +infinity)
Because the demintor of a quotient can never equal zero
27. What is the letter used to represent slope?
M
F of g and g of f
Function notation
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
28. What does the average rate of change formula solve?
The slope of a line containing two points
Odd
Y=10
Parraelle line
29. What does linear equation mean?
Equation of a line
F(x)=suare root of x
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
Y=x - identity function
30. What is the vertical line formula?
F(x)=IxI
X=a
Approach neg toward x through zero and above positive close to x
Cannot be drawn in quizlet
31. x=no real numbers is what type of an equation?
Equation of a line
Approach neg toward x through zero and above positive close to x
Inconsistant
1 -2 -3
32. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
The secant line
Identity
Set the x and y to zero and get the intercepts and then plot the points
Yes - all the domains points to one range
33. What is the domain for the standard cubic function?
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
Same
Odd
34. What is the formula for the standard cubic function?
Yes because two x's or domains can point to one y
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)=x^3
Absolute Value - Constant and Standard Quadratic
35. x^2+y=4 is this a function? Why?
36. What is a domain?
[0 -+infinity)
Even
Y=x^2 - graph
The first set of components of an ordered pair
37. What type of line is an identity function?
Perpendicular line
Even
Postiive slope
45 degree angle
38. Of the seven of algebra's common graph's how many are odd?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
C>1 - horizontal shrinking
20+.05x=5+.10x x=minutes
Three odd - cube root - identity - standard cubic
39. Draw or discuss an increasing function
As equations
Cannot be drawn in quizlet
(-infinity - 0]you[0 - +infinity)
45 degree angle
40. Is an identity function even - odd or neither?
Odd
Set the x and y to zero and get the intercepts and then plot the points
Postiive slope
X = the original sale price and the formula is x - .40x =$276
41. x= a real number is what type of equation?
Perpendicular line
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
Conditional
In a quotient
42. Is the square root function odd - even or neither?
45 degree angle
Neither
Inconsistant
The first set of components of an ordered pair
43. What is an identity function?
45 degree angle
Odd
Because the demintor of a quotient can never equal zero
The opposite coordinates
44. What are the algebra of functions?
Equation of a line
Down
(f+g) - (f-g) - (fg) - (f/g) all of x
C>1 - horizontal shrinking
45. Which direction does f(x-c) move
Cannot be drawn in quizlet
Parabola - up one and right three
Horizontal right
In a quotient
46. What is the range for the standard cubic function?
F(x)=suare root of x
X=a
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
47. What are the calculator instructions for a standard quadratic equation?
Parabola
Even
Set the x and y to zero and get the intercepts and then plot the points
Y=x^2 - graph
48. What is another way to write f(x)=x - what type of function is this?
Negative slope
F(x^1)=f(x^2)
X = the original sale price and the formula is x - .40x =$276
Y=x - identity function
49. What does the standard cubic function look like on a graph?
(-infinity - +infinity)
Conditional
X math 3 graph
Mirror image neg quadrant to that of the positive quandrant
50. Two vertical lines side by side are a symbol for what
Parraelle line
In a quotient
(f+g) - (f-g) - (fg) - (f/g) all of x
The single number y=