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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 range for an absolute value function?
Any set of ordered pairs
(-infinity - 0]you[0 - +infinity)
Undefined slope
Inconsistant
2. What is the formula in both horizontal stretching and horizontal shrinking?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
Because the demintor of a quotient can never equal zero
2nd key - x^2 - graph
Y=x - identity function
3. (1 -5)(2 -5)(3 -5)(4 -5) - is this a function?
Yes - all the domains points to one range
4 -6 -9
(-infinity - +infinity)
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
4. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
F(x) = x
X=a
(-infinity - +infinity)
5. What type of line is a constant function?
Undefined slope
(-infinity - +infinity)
Same
Horizontal
6. Is a standard quadratic function even - odd or neither?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
Even
Line ascending to the right gradually
7. What is the domain for a standard quadratic function?
2nd catalog (zero key -) abs(x) - graph
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
1 -2 -3
8. What is the domain for an absolute value function?
Postiive slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
(-infinity - +infinity)
[0 -+infinity)
9. x= a real number is what type of equation?
Y=b
Conditional
Horizontal
F(x) = x
10. How many domains can you have pointing to one range?
Cannot be drawn in quizlet
Yes because two x's or domains can point to one y
As many as you like
Three odd - cube root - identity - standard cubic
11. x= a real number is what type of equation?
45 degree angle
Conditional
Piecewise
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
12. Draw or discuss a constant function
F(x)=3 square root x
Cannot be drawn in quizlet
1 -2 -3
Identity
13. What shape is the standard quadratic function?
Same
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
Up
Parabola
14. What is the letter used to represent slope?
0<c<1 - horizontal stretching
Parraelle line
X2-x1 because the demonaitor of a quotient can never equal zero
M
15. x^2+y=4 is this a function? Why?
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183
16. What is the range of an identity function?
(-infinity - +infinity)
Even
(f+g) - (f-g) - (fg) - (f/g) all of x
The secant line
17. What type of slope do horizontal lines have?
Same
Y=b
Math 4 x - graph
Y
18. What is the formula for slope?
The first set of components of an ordered pair
Because the demintor of a quotient can never equal zero
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
Change in y / change in x = rise / run = y2-y1 / x2-x1
19. Is an absolute value function even - odd or neither?
F(x^1)=f(x^2)
Down
1 -2 -3
Even
20. Camera sales price $276 and that is 40% off - What is the original sale price? What does x =?
Piecewise
X = the original sale price and the formula is x - .40x =$276
Horizontal
Any set of ordered pairs
21. Is an identity function even - odd or neither?
Odd
Cannot be drawn in quizlet
F(x)=3 square root x
Line ascending to the right gradually
22. What is a range?
Parabola - up one and right three
Approach neg toward x through zero and above positive close to x
F(x^1)=f(x^2)
The second set of components of an ordered pair
23. What direction does f(x)-c move in standard absolute value formula?
(-infinity - +infinity)
Down
Horizontal left
2nd catalog (zero key -) abs(x) - graph
24. standard absolute value - horizontal shift formulas for left and right
Y=10
Only one
Any set of ordered pairs
F(x+c) and f(x-c)
25. A flat line underlining one vertical line is a symbol for...
Piecewise
Y=b
Undefined
Perpendicular line
26. What is the domain for an absolute value function?
The first set of components of an ordered pair
0<c<1 - horizontal stretching
(-infinity - +infinity)
F of g and g of f
27. What is the domain of an identity function?
Y=b
(-infinity - +infinity)
The second set of components of an ordered pair
[0 -+infinity)
28. How many ranges can you have for each domain?
2nd catalog (zero key -) abs(x) - graph
Only one
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
0<c<1 - horizontal stretching
29. How do you calculate a constant function in your calculator?
F(x)=+c and f(x)-c
Horizontal right
Approach neg toward x through zero and above positive close to x
Y= then enter the number then press graph
30. standard absolute value - vertical shift formulas for positve and negative
Function notation
Cannot be drawn in quizlet
Up
F(x)=+c and f(x)-c
31. What is the range for the standard cubic function?
Same
Cannot be drawn in quizlet
(-infinity - +infinity)
Y=x^2 - graph
32. What type of function would you use to calculate the most advantageous cell phone plan?
F(x^1)=f(x^2)
The single number y=
F of g and g of f
Piecewise
33. Two vertical lines side by side are a symbol for what
[0 -+infinity)
Parraelle line
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)
34. What type of slope do you have when a line falls left to right and m<0?
[0 -+infinity)
(-infinity - 0]you[0 - +infinity)
(f+g) - (f-g) - (fg) - (f/g) all of x
Negative slope
35. What is the formula for the cube root function?
F(x)=3 square root x
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.
Same
Perpendicular line
36. What is the vertex?
The minimum or maximum points
(f+g) - (f-g) - (fg) - (f/g) all of x
45 degree angle
F(x) = x
37. What is the formula for to calculate the difference of a quotient function?
(-infinity - +infinity)
Negative inverse
Postiive slope
F(x+h)-f(x)/h h cannot equal zero
38. What is the range of the cube root function?
(-infinity - +infinity)
The secant line
The single number y=
X = the original sale price and the formula is x - .40x =$276
39. How do you graph Ax+By+C=0?
Set the x and y to zero and get the intercepts and then plot the points
Identity
Horizontal right
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.
40. What is the range of a square root function?
Equation of a line
F(x+h)-f(x)/h h cannot equal zero
[0 -+infinity)
Same
41. 4(x-7)=4x+28 is what type of an equation?
[0 -+infinity)
Y=x - identity function
Inconsitent
Postiive slope
42. Is the standard cubic function odd - even or neither?
Identity
The slope of a line containing two points
Odd
The first set of components of an ordered pair
43. What is a relation?
F(x)=suare root of x
Any set of ordered pairs
(-infinity - +infinity)
F(x+c) and f(x-c)
44. What is the domain for a standard quadratic function?
(-infinity - +infinity)
The slope of a line containing two points
The opposite coordinates
F(x+h)-f(x)/h h cannot equal zero
45. Which direction does f(x+c) move
Even
Horizontal left
Negative slope
A line passing through two distinct points
46. What are the calculator instructions for the cube root function?
As many as you like
1 -2 -3
Math 4 x - graph
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
47. What is the domain and range of a constant function?
(-infinity - +infinity)
Mirror image neg quadrant to that of the positive quandrant
F(x+c) and f(x-c)
X = the original sale price and the formula is x - .40x =$276
48. When is the only time (-infinity - +infinity) is not the domain?
P=2w+2L w=x and l=w+200 2x+2(x+200)=1040
(-infinity - +infinity)
X = the original sale price and the formula is x - .40x =$276
In a quotient
49. Of the seven of algebra's common graph's how many are even?
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=10
Y= then enter the number then press graph
Absolute Value - Constant and Standard Quadratic
50. What type of line is a constant function?
Yes - all the domains points to one range
Perpendicular line
Horizontal
0<c<1 - horizontal stretching