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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. Which direction does f(x+c) move
(f+g) - (f-g) - (fg) - (f/g) all of x
Horizontal left
F(x^1)=f(x^2)
Horizontal right
2. What are the calculator instructions for the standard cubic function?
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
The secant line
X math 3 graph
3. How many domains can you have pointing to one range?
As many as you like
In a quotient
Even
(-infinity - 0]you[0 - +infinity)
4. Is a standard quadratic function even - odd or neither?
As equations
[0 -+infinity)
Even
2nd key - x^2 - graph
5. Which direction does f(x+c) move
Y=x - identity function
Piecewise
Absolute Value - Constant and Standard Quadratic
Horizontal left
6. What is the domain for a standard quadratic function?
Y= then enter the number then press graph
Equation of a line
As equations
(-infinity - +infinity)
7. What shape is the standard quadratic function?
Undefined
(-infinity - +infinity)
(-infinity - +infinity)
Parabola
8. What is the domain of an identity function?
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
Horizontal right
20+.05x=5+.10x x=minutes
9. Is an absolute value function even - odd or neither?
Y=b
Yes - all the domains points to one range
Parabola
Even
10. What does the standard cubic function look like on a graph?
Y
Odd
Mirror image neg quadrant to that of the positive quandrant
0<c<1 - horizontal stretching
11. What does the graph of the cube root function look like on the graph?
(-infinity - +infinity)
Neither
Approach neg toward x through zero and above positive close to x
M
12. What does the square root function look like on a graph?
Line ascending to the right gradually
Approach neg toward x through zero and above positive close to x
Postiive slope
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
13. Is a constant function even - odd or neither?
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
Identity
Even
Neither
14. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Identity
The second set of components of an ordered pair
Horizontal
15. When is the only time (-infinity - +infinity) is not the domain?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
In a quotient
Three odd - cube root - identity - standard cubic
The secant line
16. Of the seven of algebra's common graph's how many are even?
2nd catalog (zero key -) abs(x) - graph
Conditional
Absolute Value - Constant and Standard Quadratic
C>1 - horizontal shrinking
17. x=no real numbers is what type of an equation?
X2-x1 because the demonaitor of a quotient can never equal zero
Inconsistant
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.
Postiive slope
18. What type of slope do you have when m=? and the line is vertical?
Odd
Undefined slope
X math 3 graph
Same
19. What is a function?
(-infinity - +infinity)
Odd
Zero slope
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
20. A flat line underlining one vertical line is a symbol for...
The secant line
Perpendicular line
F(x)=+c and f(x)-c
Y=10
21. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Even
4 -6 -9
Y=IxI
X = the original sale price and the formula is x - .40x =$276
22. What type of slope do you have when the line is horizontal and m=0?
Zero slope
Negative inverse
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. What is the range of an identity function?
Set the x and y to zero and get the intercepts and then plot the points
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
4 -6 -9
(-infinity - +infinity)
24. What is another way to write f(x)=x - what type of function is this?
The minimum or maximum points
(-infinity - +infinity)
Y=x - identity function
Identity
25. What is the range for the standard cubic function?
Perpendicular line
(-infinity - +infinity)
No because you cannot have one domain pointing at two y's or ranges
Y=IxI
26. What direction does f(x)-c move in standard absolute value formula?
Down
F(x)=x^3
The opposite coordinates
As equations
27. Of the seven of algebra's common graph's how many are neither?
Inconsistant
Change in y / change in x = rise / run = y2-y1 / x2-x1
As many as you like
Square Root
28. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Horizontal left
As equations
Line ascending to the right gradually
29. Is a standard quadratic function even - odd or neither?
The opposite coordinates
Even
Any set of ordered pairs
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
30. What is the letter used to represent slope?
M
(f+g) - (f-g) - (fg) - (f/g) all of x
Because the demintor of a quotient can never equal zero
No because you cannot have one domain pointing at two y's or ranges
31. What is the vertical line formula?
X=a
Horizontal
C>1 - horizontal shrinking
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
32. What points do you use to plot the inverse on a graph?
Y=IxI
The opposite coordinates
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.
M
33. What type of slope do horizontal lines have?
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.
Y=x^2 - graph
Same
X math 3 graph
34. What is the formula for an identity function?
(-infinity - +infinity)
Zero slope
Odd
F(x) = x
35. x^2+y=4 is this a function? Why?
36. What is the domain and range of a constant function?
Odd
(-infinity - +infinity)
Horizontal
F(x)=3 square root x
37. What does the average rate of change formula solve?
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
The slope of a line containing two points
X^2
Horizontal
38. {(1 -4)(2 -6)(3 -9)} what numbers are the domain?
[0 -+infinity)
1 -2 -3
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
39. What is another way of writing the absolute value function?
Equation of a line
Y=IxI
Math 4 x - graph
F(x)=x^3
40. 4(x-7)=4x+28 is what type of an equation?
When does a graph not define y as a function of x?
Inconsitent
Y=IxI
X math 3 graph
41. What is the domain of a square root function?
Cannot be drawn in quizlet
Yes - all the domains points to one range
[0 -+infinity)
In a quotient
42. What is the point slope formula and when do you use it?
Horizontal left
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
F of g and g of f
As equations
43. What type of line is an identity function?
F(x)=+c and f(x)-c
45 degree angle
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(x)=x^3
44. What are the calculator instructions for absolute value?
(-infinity - 0]you[0 - +infinity)
2nd catalog (zero key -) abs(x) - graph
Even
M
45. What type of line is an identity function?
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
Up
45 degree angle
46. What is a range?
The second set of components of an ordered pair
Even
Negative slope
In a quotient
47. What are two examples of composit functions?
(f+g) - (f-g) - (fg) - (f/g) all of x
F of g and g of f
Y= then enter the number then press graph
Y=IxI
48. What shape is the standard quadratic function?
Parabola
Only one
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
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
49. What does the average rate of change formula solve?
Conditional
The slope of a line containing two points
20+.05x=5+.10x x=minutes
A line passing through two distinct points
50. What is the domain for an absolute value function?
Y=x^2 - graph
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)
Conditional