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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. Draw or discuss a decreasing function
As many as you like
Cannot be drawn in quizlet
X is the hours to repair the boat. $1603-532=anwser/63 = x
Y=x - identity function
2. What points do you use to plot the inverse on a graph?
Cannot be drawn in quizlet
The opposite coordinates
[0 -+infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
3. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
(-infinity - +infinity)
The minimum or maximum points
Horizontal
Yes - all the domains points to one range
4. Is an absolute value function even - odd or neither?
Any set of ordered pairs
Postiive slope
F(x)=+c and f(x)-c
Even
5. What is a constant function?
(-infinity - +infinity)
Horizontal
(-infinity - +infinity)
F(x^1)=f(x^2)
6. Of the seven of algebra's common graph's how many are odd?
X=a
F(x)=+c and f(x)-c
Three odd - cube root - identity - standard cubic
Math 4 x - graph
7. What are the calculator instructions for the standard cubic function?
Inconsistant
X math 3 graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
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
8. x=no real numbers is what type of an equation?
Negative inverse
20+.05x=5+.10x x=minutes
Inconsistant
Cannot be drawn in quizlet
9. What is the domain for a standard quadratic function?
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
20+.05x=5+.10x x=minutes
Set the x and y to zero and get the intercepts and then plot the points
10. What is a range?
[0 -+infinity)
Perpendicular line
The second set of components of an ordered pair
Zero slope
11. What does the graph of the cube root function look like on the graph?
(-infinity - +infinity)
Approach neg toward x through zero and above positive close to x
No because you cannot have one domain pointing at two y's or ranges
Even
12. standard absolute value - vertical shift formulas for positve and negative
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x)=+c and f(x)-c
Yes because two x's or domains can point to one y
Zero slope
13. What is the formula in both horizontal stretching and horizontal shrinking?
Undefined
Square Root
Neither
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
14. What are the calculator instructions for absolute value?
The single number y=
Change in y / change in x = rise / run = y2-y1 / x2-x1
2nd catalog (zero key -) abs(x) - graph
Even
15. What is the vertical line test?
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Cannot be drawn in quizlet
When does a graph not define y as a function of x?
16. x= a real number is what type of equation?
Conditional
As equations
1 -2 -3
F(x+c) and f(x-c)
17. What type of slope do you have when a line rises from left to right and m>0?
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
Postiive slope
2nd catalog (zero key -) abs(x) - graph
The secant line
18. x^2+y=4 is this a function? Why?
19. What is the domain of the cube root function?
(-infinity - +infinity)
Absolute Value - Constant and Standard Quadratic
Odd
X=a
20. What is the slope intercept formula? Define all the variables.
Undefined slope
Zero slope
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
Square Root
21. Draw or discuss a decreasing function
4 -6 -9
Y=IxI
Cannot be drawn in quizlet
Down
22. What is the vertex?
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.
X2-x1 because the demonaitor of a quotient can never equal zero
The minimum or maximum points
X = the original sale price and the formula is x - .40x =$276
23. What does the graph of the cube root function look like on the graph?
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
F(x)=suare root of x
Approach neg toward x through zero and above positive close to x
24. In an identity function if f(10)=x than What is y?
Y=10
Horizontal right
45 degree angle
C>1 - horizontal shrinking
25. Of the seven of algebra's common graph's how many are even?
Absolute Value - Constant and Standard Quadratic
Yes because two x's or domains can point to one y
Line ascending to the right gradually
(-infinity - +infinity)
26. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
Line ascending to the right gradually
F(x+c) and f(x-c)
4 -6 -9
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
27. What is the domain of an identity function?
F(x)=x^3
Three odd - cube root - identity - standard cubic
(-infinity - +infinity)
M
28. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Even
4 -6 -9
(-infinity - +infinity)
F(x)=3 square root x
29. What is the line called that illustrates the straight line between the two points when showing average rate of change?
F(x)=x^3
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
X = the original sale price and the formula is x - .40x =$276
The secant line
30. What is the formula for the square root function?
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
[0 -+infinity)
Identity
F(x)=suare root of x
31. What is the slope of a perpendicular line?
Negative inverse
F(x^1)=f(x^2)
Equation of a line
Negative slope
32. What is the formula for the cube root function?
F(x)=IxI
In a quotient
F(x)=3 square root x
2nd key - x^2 - graph
33. What is the formula for slope?
(-infinity - +infinity)
F(x)=IxI
Change in y / change in x = rise / run = y2-y1 / x2-x1
Odd
34. What is the standard quadratic function?
X^2
Piecewise
F(x)=3 square root x
(-infinity - +infinity)
35. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
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
45 degree angle
F(x2)-f(x1) / x2-x1
45 degree angle
36. What is the standard quadratic function?
When does a graph not define y as a function of x?
Even
Piecewise
X^2
37. What is the range of the cube root function?
Inconsitent
(f+g) - (f-g) - (fg) - (f/g) all of x
(-infinity - +infinity)
M
38. x= a real number is what type of equation?
Even
The opposite coordinates
(-infinity - +infinity)
Conditional
39. What does the absolute value function look like?
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.
Approach neg toward x through zero and above positive close to x
F(x+h)-f(x)/h h cannot equal zero
A V
40. What is the point slope formula and when do you use it?
Horizontal
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
F(x)=3 square root x
41. What type of slope do you have when m=? and the line is vertical?
The first set of components of an ordered pair
F of g and g of f
(-infinity - +infinity)
Undefined slope
42. y=f(cx) - What does this formula represent?
Line ascending to the right gradually
Even
A V
C>1 - horizontal shrinking
43. $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?
Piecewise
X = the original sale price and the formula is x - .40x =$276
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
Postiive slope
44. What is a function?
The minimum or maximum points
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
A V
Up
45. What is an identity function?
X=a
(-infinity - +infinity)
45 degree angle
Odd
46. What is the vertex?
Odd
Line ascending to the right gradually
The minimum or maximum points
(-infinity - 0]you[0 - +infinity)
47. What type of slope do you have when m=? and the line is vertical?
Y=x^2 - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - 0]you[0 - +infinity)
Undefined slope
48. What type of slope do you have when a line rises from left to right and m>0?
Perpendicular line
Same
1 -2 -3
Postiive slope
49. What type of line is a constant function?
Zero slope
Cannot be drawn in quizlet
Horizontal
Three odd - cube root - identity - standard cubic
50. What is the range of the constant function?
The single number y=
The second set of components of an ordered pair
Y=x - identity function
Conditional