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How will the rule for a function fx change if the graph is translated left or right by k?
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Given that (7-6) is on the graph f(x) find the corresponding point for the function f(x plus 2)?
When the x coordinate is changed by adding a constant amount this is the same as translating (shifting) the graph of the function f(x) that amount parallel to the x-axis; if the amount is positive the graph is translated to the left, if it is negative it is translated to the right. As (7, -6) is on f(x), then under the translation f(x + 2), the graph is translated to the left (2 x-values), so the point (7-2, -6) which is the point (5, -6) is the corresponding point on the graph to (7, -6).
When the points on a graph tend to go downward from left to right you say they indicate what?
They mean the graph/function is decreasing.
If the slop of the function y equal -3.5x plus 12.8 is changed to 1.5 then describe the graph of the new function?
The straight line in the graph goes 'uphill' from left to right
How do you find the function of a slope if you're given the graph and not the function?
If the graph is not a straight line, then it has different slopes at different points, and there's no easy general way to measure it. It's a lot easier if the graph is a straight line. Here's how to do it: -- Mark off a section of the line, and ignore the rest of it. -- Measure how much that part of the line rises from its left end to its right end. That's the change in 'y'. -- Measure how much of the 'x' axis that part of the line covers, from its left end to its right end. That's the change in 'x'. -- Divide (the change in 'y') by (the change in 'x'). The result of the division is the slope of the line.
What is the linear parent function?
The linear parent function is y=x. The line on a graph passes through the origin(0,0) with a slope of 1. The line will face left to right on the graph like this /.
You are told that the average rate of change of a particular function is always negative What can you conclude about the graph of that function and why?
It is a function whose graph starts in the top left and goes to the bottom right. There could be some intervals in which the graph moves upwards to the right. This follows from the definition of average rate of change.
How do you change graph types on Microsoft Excel 2007?
Right-click on the graph and select Change Chart Type.
Given that (7-6) is on the graph f(x) find the corresponding point for the function f(x plus 2)?
When the x coordinate is changed by adding a constant amount this is the same as translating (shifting) the graph of the function f(x) that amount parallel to the x-axis; if the amount is positive the graph is translated to the left, if it is negative it is translated to the right. As (7, -6) is on f(x), then under the translation f(x + 2), the graph is translated to the left (2 x-values), so the point (7-2, -6) which is the point (5, -6) is the corresponding point on the graph to (7, -6).
When the points on a graph tend to go downward from left to right you say they indicate what?
They mean the graph/function is decreasing.
If the slop of the function y equal -3.5x plus 12.8 is changed to 1.5 then describe the graph of the new function?
The straight line in the graph goes 'uphill' from left to right
How do you find the function of a slope if you're given the graph and not the function?
If the graph is not a straight line, then it has different slopes at different points, and there's no easy general way to measure it. It's a lot easier if the graph is a straight line. Here's how to do it: -- Mark off a section of the line, and ignore the rest of it. -- Measure how much that part of the line rises from its left end to its right end. That's the change in 'y'. -- Measure how much of the 'x' axis that part of the line covers, from its left end to its right end. That's the change in 'x'. -- Divide (the change in 'y') by (the change in 'x'). The result of the division is the slope of the line.
What is the linear parent function?
The linear parent function is y=x. The line on a graph passes through the origin(0,0) with a slope of 1. The line will face left to right on the graph like this /.
The value of the determines whether the graph of an exponential function increases or decreases from left to right?
base
When an odd function has a negative leading coefficient what happens to the graph?
the left end of the graph is going in a positive direction and the right end is going in a negative direction.
What methodare you going to use in determining that graphs are function or not?
Use the vertical line test...pass a vertical line from left to right across the graph. If you hit the graph more than once at a time, there is x-sharing, and it is not a function.
What does a one to one function graph look like?
A one-to-one graph must pass both the horizontal and the vertical line test. That means that no x-value can have two y-values and no y-value can have two x-values. An example of a one-to-one function is a line. Things like parabolas and the graph of an absolute function cannot be one-to-one.
How does the parity evenness oddness of a polynomial functions degree affect its graph?
An even function is symmetric about the y-axis. The graph to the left of the y-axis can be reflected onto the graph to the right. An odd function is anti-symmetric about the origin. The graph to the left of the y-axis must be reflected in the y-axis as well as in the x-axis (either one can be done first).
