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lch7
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You are given a table and (maybe) a picture of a graph. Here are the points given: 0,0; 1,-.7568; 2,.99061; and 3,-.988. What is the function? Is it possible to figure out by hand?
lch7 said:You are given a table and (maybe) a picture of a graph. Here are the points given: 0,0; 1,-.7568; 2,.99061; and 3,-.988. What is the function? Is it possible to figure out by hand?
A function is a mathematical concept that describes the relationship between a set of inputs and outputs. It maps each input to exactly one output, meaning that each input has a unique output.
To identify the function represented by a given graph, you can look for patterns and relationships between the x and y values. A function will have only one output for each input, so you can also check for any repeating x values with different y values.
A linear function is a straight line on a graph, with a constant rate of change between the x and y values. A nonlinear function, on the other hand, does not have a constant rate of change and can take on various shapes such as curves or parabolas.
The slope of a linear function can be found by calculating the change in y values divided by the change in x values. This is also known as the rise over run, or the difference in the y coordinates divided by the difference in the x coordinates of two points on the line.
No, a function can only have one input for each output. This is known as the one-to-one correspondence property of a function. However, multiple outputs can correspond to the same input, as long as each input has a unique output.