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Learn about intervals and interval notation with free educational videos from Khan Academy.
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Finding the domain and range of a piecewise function where each segment is linear. Video transcript So we have a piecewise linear function right over here for different intervals of x. g of x is defined by a a line or the line changes depending what interval of x we're actually in.
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Introducing intervals, which are bounded sets of numbers and are very useful when describing domain and range. We can use interval notation to show that a value falls between two endpoints. For example, -3≤x≤2, [-3,2], and {x∈ℝ|-3≤x≤2} all mean that x is between -3 and 2 and could be either endpoint.
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And sometimes, it's easier thinking degrees. It's a 45-degree angle. This here, your x-coordinate and your y-coordinate is the same. You might remember, it's square root of two over two, square root of two over two. But the important thing is whatever you move in the x direction, you move the same in the y direction.
When you take f of that is equal to 0.5, f of this is equal to 0.5, f of this right over here is 0.5. So if you have multiple elements of your domain mapping to the same element of the range, then the function will not be invertible for that domain. So really what we're going to do is, we're going to try to restrict the domain so that, for that ...
Checking if an equation represents a function. Does a vertical line represent a function? Recognize functions from graphs. Recognizing functions from verbal description.