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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
Horizontal left
Square Root
X2-x1 because the demonaitor of a quotient can never equal zero
Odd
2. What is slope?
[0 -+infinity)
A line passing through two distinct points
Even
(-infinity - +infinity)
3. What is the vertical line formula?
As many as you like
X=a
Y=b
Mirror image neg quadrant to that of the positive quandrant
4. What does the average rate of change formula solve?
The slope of a line containing two points
Horizontal left
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
Mirror image neg quadrant to that of the positive quandrant
5. A. $20 +.05 per min B. $5 +.10 per min - What is x and how do you set up the formula?
Three odd - cube root - identity - standard cubic
20+.05x=5+.10x x=minutes
The first set of components of an ordered pair
Square Root
6. y^2+x=4 is this a function? Why?
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7. What is the range of a square root function?
Even
Identity
Equation of a line
[0 -+infinity)
8. What is the range for a standard quadratic function?
X math 3 graph
(-infinity - 0]you[0 - +infinity)
Up
(-infinity - +infinity)
9. What is the range of the cube root function?
(-infinity - +infinity)
Horizontal
F(x)=suare root of x
X2-x1 because the demonaitor of a quotient can never equal zero
10. Which direction does f(x-c) move
Y= then enter the number then press graph
Horizontal right
45 degree angle
Inconsistant
11. x=no real numbers is what type of an equation?
Inconsistant
The single number y=
M
Yes because two x's or domains can point to one y
12. Two vertical lines side by side are a symbol for what
Y= then enter the number then press graph
The first set of components of an ordered pair
Parraelle line
F(x)=3 square root x
13. What type of slope do you have when a line falls left to right and m<0?
4 -6 -9
Only one
Negative slope
A line passing through two distinct points
14. Draw or discuss a constant function
Cannot be drawn in quizlet
Conditional
X = the original sale price and the formula is x - .40x =$276
(-infinity - 0]you[0 - +infinity)
15. 4x+5x=8x is what type of an equation?
Conditional
Cannot be drawn in quizlet
(-infinity - +infinity)
Identity
16. x^2+y=4 is this a function? Why?
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17. What are two examples of composit functions?
(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
(-infinity - +infinity)
(-infinity - +infinity)
18. Is a constant function even - odd or neither?
Because the demintor of a quotient can never equal zero
Even
F(x)=3 square root x
Horizontal right
19. What is the letter used to represent slope?
Piecewise
M
(-infinity - +infinity)
Y=b
20. standard absolute value - vertical shift formulas for positve and negative
Y=IxI
(-infinity - 0]you[0 - +infinity)
F(x)=+c and f(x)-c
A line passing through two distinct points
21. y=f(cx) - What does this formula represent?
[0 -+infinity)
C>1 - horizontal shrinking
Line ascending to the right gradually
Identity
22. What are the calculator instructions for the cube root function?
Divide x coorindate by c to get the y coorindate and they shrink or stretch the graph accordingly
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.
Math 4 x - graph
X2-x1 because the demonaitor of a quotient can never equal zero
23. What type of slope do you have when the line is horizontal and m=0?
Parabola
Zero slope
(-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
24. What can we substitute for f(x)?
Y
Square Root
F of g and g of f
A line passing through two distinct points
25. What is the formula for the cube root function?
(f+g) - (f-g) - (fg) - (f/g) all of x
F(x)=3 square root x
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
Y= then enter the number then press graph
26. What type of function would you use to calculate the most advantageous cell phone plan?
20+.05x=5+.10x x=minutes
Perpendicular line
Function notation
Piecewise
27. What is a range?
Postiive slope
The second set of components of an ordered pair
Parabola
Perpendicular line
28. What is the range for a standard quadratic function?
(-infinity - 0]you[0 - +infinity)
Inconsitent
The secant line
X math 3 graph
29. What is the domain of a square root function?
45 degree angle
Zero slope
[0 -+infinity)
Y=mx+b - b is the y intercept and m is the slope - x -y are the coordinates on the graph
30. Is the square root function odd - even or neither?
Neither
(-infinity - +infinity)
20+.05x=5+.10x x=minutes
Piecewise
31. Is an absolute value function even - odd or neither?
Even
F(x)=x^3
Any set of ordered pairs
1 -2 -3
32. What is the domain and range of a constant function?
Equation of a line
(-infinity - +infinity)
X is the hours to repair the boat. $1603-532=anwser/63 = x
Absolute Value - Constant and Standard Quadratic
33. standard absolute value - vertical shift formulas for positve and negative
Approach neg toward x through zero and above positive close to x
The second set of components of an ordered pair
F(x)=+c and f(x)-c
4 -6 -9
34. What does the absolute value function look like?
A V
Horizontal right
F(x)=x^3
(-infinity - +infinity)
35. What is the range of the constant function?
The single number y=
0<c<1 - horizontal stretching
The minimum or maximum points
Approach neg toward x through zero and above positive close to x
36. What is the range of the cube root function?
(-infinity - +infinity)
The second set of components of an ordered pair
Absolute Value - Constant and Standard Quadratic
Inconsitent
37. In an identity function if f(10)=x than What is y?
Square Root
Y=10
Undefined
Yes - all the domains points to one range
38. What is a function?
Y=IxI
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
C>1 - horizontal shrinking
Approach neg toward x through zero and above positive close to x
39. 4x+5x=8x is what type of an equation?
Conditional
No because you cannot have one domain pointing at two y's or ranges
F of g and g of f
Negative slope
40. What is the slope of a perpendicular line?
Negative inverse
(-infinity - +infinity)
F of g and g of f
F(x)=suare root of x
41. How would this formula move f(x)=(x+1)^2-3
Parabola - up one and right three
Cannot be drawn in quizlet
Yes - all the domains points to one range
As equations
42. What is another way to write f(x)=x - what type of function is this?
(-infinity - +infinity)
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.
20+.05x=5+.10x x=minutes
Y=x - identity function
43. What is the average rate of change formula?
F(x2)-f(x1) / x2-x1
As equations
Y
20+.05x=5+.10x x=minutes
44. What is an identity function?
45 degree angle
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
(-infinity - +infinity)
(y-y1)=m(x-x1) and you use it when you have one point or set of coordinates and the slope
45. What equation does every line have? Discuss the variables.
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.
Identity
Change in y / change in x = rise / run = y2-y1 / x2-x1
Function is the corespondence from the domain to the range. Each element of the domain relates to one element in the range.
46. Why can h not equal zero in the difference of a quotient function formula?
Because the demintor of a quotient can never equal zero
Mirror image neg quadrant to that of the positive quandrant
4 -6 -9
Y=10
47. What is the slope of a perpendicular line?
Negative inverse
Mirror image neg quadrant to that of the positive quandrant
Cannot be drawn in quizlet
45 degree angle
48. Which direction does f(x+c) move
Horizontal left
Horizontal right
No because you cannot have one domain pointing at two y's or ranges
Odd
49. x^2+y=4 is this a function? Why?
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50. What is the horizontal line formula?
Y=b
(-infinity - +infinity)
Cannot be drawn in quizlet
The first set of components of an ordered pair