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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 type of slope do you have when m=? and the line is vertical?
Undefined slope
Y=b
(-infinity - 0]you[0 - +infinity)
Up
2. Two vertical lines side by side are a symbol for what
(-infinity - +infinity)
As equations
F(x+c) and f(x-c)
Parraelle line
3. 4(x-7)=4x+28 is what type of an equation?
Cannot be drawn in quizlet
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Inconsitent
Piecewise
4. When is the only time (-infinity - +infinity) is not the domain?
1) replace f(x) with y (2) swap x and y (3) solve for y (4) determine if the solution has an inverse
Undefined
In a quotient
F(x+c) and f(x-c)
5. What is the vertex?
The minimum or maximum points
Neither
Equation of a line
Odd
6. What is the domain of an identity function?
(-infinity - 0]you[0 - +infinity)
The opposite coordinates
Even
(-infinity - +infinity)
7. Is an identity function even - odd or neither?
Set the x and y to zero and get the intercepts and then plot the points
When does a graph not define y as a function of x?
Odd
Equation of a line
8. How do you calculate a constant function in your calculator?
Undefined slope
Math 4 x - graph
Y= then enter the number then press graph
Mirror image neg quadrant to that of the positive quandrant
9. What type of slope do you have when the line is horizontal and m=0?
(-infinity - +infinity)
Conditional
20+.05x=5+.10x x=minutes
Zero slope
10. What is the range of an identity function?
Because the demintor of a quotient can never equal zero
(-infinity - +infinity)
C>1 - horizontal shrinking
F(x+h)-f(x)/h h cannot equal zero
11. x=no real numbers is what type of an equation?
Approach neg toward x through zero and above positive close to x
(-infinity - +infinity)
Inconsistant
Cannot be drawn in quizlet
12. x^2+y=4 is this a function? Why?
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183
13. What is the domain for the standard cubic function?
Inconsistant
F(x)=+c and f(x)-c
1 -2 -3
(-infinity - +infinity)
14. What is a relation?
Perpendicular line
Yes because two x's or domains can point to one y
Any set of ordered pairs
Inconsistant
15. What does the square root function look like on a graph?
Y=b
Line ascending to the right gradually
X is the hours to repair the boat. $1603-532=anwser/63 = x
Square Root
16. What are the calculator instructions for the standard cubic function?
When does a graph not define y as a function of x?
Line ascending to the right gradually
X math 3 graph
(f+g) - (f-g) - (fg) - (f/g) all of x
17. f(x) = x^2+3x+5 - what type of formula is this?
Inconsitent
Function notation
(-infinity - +infinity)
Even
18. What is the domain of a square root function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
[0 -+infinity)
F(x)=IxI
Perpendicular line
19. Draw or discuss a decreasing function
Cannot be drawn in quizlet
No because you cannot have one domain pointing at two y's or ranges
F(x2)-f(x1) / x2-x1
[0 -+infinity)
20. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
The secant line
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
21. What type of line is a constant function?
No because you cannot have one domain pointing at two y's or ranges
45 degree angle
Conditional
Horizontal
22. Why can h not equal zero in the difference of a quotient function formula?
2nd catalog (zero key -) abs(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
Because the demintor of a quotient can never equal zero
Even
23. Which direction does f(x-c) move
1 -2 -3
Identity
Horizontal right
[0 -+infinity)
24. What points do you use to plot the inverse on a graph?
The opposite coordinates
Postiive slope
Yes because two x's or domains can point to one y
Identity
25. Outline the piece wise function and explain it? if the base plan is $20 and each minute over one hour is .40 cents?
F(x2)-f(x1) / x2-x1
(-infinity - +infinity)
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
Cannot be drawn in quizlet
26. What is the line called that illustrates the straight line between the two points when showing average rate of change?
The secant line
(-infinity - 0]you[0 - +infinity)
Equation of a line
The single number y=
27. What is the formula for slope?
Negative inverse
(-infinity - +infinity)
Set the x and y to zero and get the intercepts and then plot the points
Change in y / change in x = rise / run = y2-y1 / x2-x1
28. What is the standard quadratic function?
Perpendicular line
X^2
F(x+c) and f(x-c)
(f+g) - (f-g) - (fg) - (f/g) all of x
29. What are two examples of composit functions?
4 -6 -9
X = the original sale price and the formula is x - .40x =$276
Down
F of g and g of f
30. y=f(cx) What does this formula represent?
0<c<1 - horizontal stretching
Parabola - up one and right three
Y= then enter the number then press graph
Mirror image neg quadrant to that of the positive quandrant
31. What is the vertical line formula?
Horizontal
X=a
45 degree angle
2nd key - x^2 - graph
32. What are the calculator instructions for a standard quadratic equation?
Y=10
Y=x^2 - graph
The opposite coordinates
Y=10
33. {(1 -4)(2 -6)(3 -9)} what numbers are the range?
Parabola
Yes - all the domains points to one range
4 -6 -9
F(x+c) and f(x-c)
34. What equation does every line have? Discuss the variables.
Down
Cannot be drawn in quizlet
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.
Negative slope
35. What is a function?
Line ascending to the right gradually
Perpendicular line
Horizontal left
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
36. A flat line underlining one vertical line is a symbol for...
F(x2)-f(x1) / x2-x1
45 degree angle
Perpendicular line
X is the hours to repair the boat. $1603-532=anwser/63 = x
37. What does the square root function look like on a graph?
Square Root
Neither
Line ascending to the right gradually
Inconsitent
38. What is a domain?
Mirror image neg quadrant to that of the positive quandrant
Horizontal
Absolute Value - Constant and Standard Quadratic
The first set of components of an ordered pair
39. In an identity function if f(10)=x than What is y?
(-infinity - +infinity)
Y
Odd
Y=10
40. y=f(cx) - What does this formula represent?
C>1 - horizontal shrinking
F(x)=IxI
X is the hours to repair the boat. $1603-532=anwser/63 = x
Piecewise
41. What is a constant function?
(-infinity - +infinity)
The secant line
F(x^1)=f(x^2)
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
42. What are the algebra of functions?
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(f+g) - (f-g) - (fg) - (f/g) all of x
The secant line
F(x)=x^3
43. What are the calculator instructions for a square root function?
Square Root
2nd key - x^2 - graph
X^2
0<c<1 - horizontal stretching
44. What type of slope do horizontal lines have?
Horizontal left
(-infinity - 0]you[0 - +infinity)
(-infinity - +infinity)
Same
45. What is the range of a square root function?
20+.05x=5+.10x x=minutes
Approach neg toward x through zero and above positive close to x
F(x+h)-f(x)/h h cannot equal zero
[0 -+infinity)
46. Draw or discuss a constant function
Cannot be drawn in quizlet
F of g and g of f
Odd
Down
47. What is the line called that illustrates the straight line between the two points when showing average rate of change?
A V
The secant line
The single number y=
Y=b
48. Of the seven of algebra's common graph's how many are neither?
Square Root
Even
Absolute Value - Constant and Standard Quadratic
Horizontal left
49. f(x) = x^2+3x+5 - what type of formula is this?
Odd
Cannot be drawn in quizlet
Y=x^2 - graph
Function notation
50. What is the range of an identity function?
X=a
(-infinity - +infinity)
Y=x - identity function
Horizontal left