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