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☆☆☆☆☆A vertical shift is the vertical motion of a function on a graph through manipulation of the y-coordinates, while simultaneously leaving the x-coordinates unchanged. A horizontal shift is the opposite of a vertical shift, in that the function is moving horizontally by manipulating the x-coordinates and leaving the y-coordinates unchanged.
the one on the y axis so if the graph looked like this:
m l
a l
s l
s l l
l
l
l
l
l______________________
volume
...mass would be the dependent variable because it's on the y-axis.
A reflection is when you "flip" an image over a line on your graph. A translation is when you move your image vertically and/or horizontally.
When in the Y-intercept form. Y=mx+b Y is the y-coordinate m is the slope X is the x-coordinate b is the y-intercept
The graph of a linear function is a line with a constant slope. The graph of an exponential function is a curve with a non-constant slope. The slope of a given curve at a specified point is the derivative evaluated at that point.
x3 + 8
= x3 + 23
= (x + 2)[x2 - (x)(2) + 22]
= (x + 2) (x2 - 2x + 4)
at first draw the graph of fx, then shift the graph along -ve x-axis 21 unit
The tan [tangent] function.
When a function has two or more brakes, this is not a continuous function, but it can be a continuous function in some intervals such as the tangent does.
• 0-23 units = first year or freshman level
• 24-47 units = second year or sophomore level
• 48-71 units = third year or junior level
• 72-95 units = fourth year or senior level
• 96+ units = fifth year or fifth year senior level
Range
(1/x) + (1/y) + (1/z) is a minimum value when x=y=z=10.
Symmetry gives either maximum or minimum value.
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sonic fgx 2 games is all rig
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well x2 is 2x so 2x-3x=-1x+9
so -1x+9=0
-1x=-9
/-1 /-1
so x=9
hope that's what your asking for
Which of the following is an example of inverse variation?4x =
zy =
2xxy
=
7xz=z
Any number that is not an integer is neither even nor odd.
For example, 8.5, pi, the square root of 2 are all neither even nor odd.
Every integer (including 0) is either even or odd.
0 is even since it is divisible by 2: 0 / 2 = 0
Let one integer be n, then the other is 2n + 3 and n(2n + 3) = 90; solve this last equation for n:
n(2n + 3) = 90
⇒ 2n2 + 3n - 90 = 0
⇒ (2n + 15)(n - 6) = 0
⇒ n = 6 or n = -7.5
As n must be a (positive) integer, the solution n = -7.5 can be ignored, leaving n = 6, giving 2n + 3 = 15.
Thus the two positive integers are 6 and 15.
PLUS has two extra New functions....
Random integer
New Equation mode
A line is just a line, but the y-coordinate (the point where the line intersects the y-axis) is termed the y intercept. This point has an x coordinate that is always zero and the y coordinate can be positive, zero, or negative
It is the function toolbar. The fx is a mathematical way of representing functions.
It is the function toolbar. The fx is a mathematical way of representing functions.
It is the function toolbar. The fx is a mathematical way of representing functions.
It is the function toolbar. The fx is a mathematical way of representing functions.
It is the function toolbar. The fx is a mathematical way of representing functions.
It is the function toolbar. The fx is a mathematical way of representing functions.
It is the function toolbar. The fx is a mathematical way of representing functions.
It is the function toolbar. The fx is a mathematical way of representing functions.
It is the function toolbar. The fx is a mathematical way of representing functions.
It is the function toolbar. The fx is a mathematical way of representing functions.
It is the function toolbar. The fx is a mathematical way of representing functions.
Use trigonometric identities to simplify the equation so that you have a simple trigonometric term on one side of the equation and a simple value of the other. Then use the appropriate inverse trigonometric or arc function.
That depends on the original relation. For any relation y = f(x) the domain is all acceptable values of x and the range, y, is all answers of the function. The inverse relation would take all y values of the original function, what was the range, and these become the domain for the inverse, these must produce answers which are a new range for this inverse, which must match the original domain. IE: the domain becomes the range and the range becomes the domain.
Ex: y = x2 is the original relation
the inverse is y = =/- square root x
Rules to find the inverse are simple substitute x = y and y = x in the original and solve for the new y.
The notation is the original relation if y = f(x) but the inverse is
denoted as y = f -1(x), (the -1 is not used as an exponent, but is read as the word inverse)
No. Up-down is vertical. Horizontal is perpendicular to vertical.
The answer will depend on the original coordinates of A: these have not been provided so neither has an answer.
