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The range of a function is the set of all possible outputs the function can produce. Some functions (like linear functions) can have a range of all real numbers, but lots of functions have a more limited set of possible outputs.
Sal rewrites a quadratic equation in vertex form and shows how it reveals the vertex of the corresponding parabola.
The graph of y=log base 2 of x looks like a curve that increases at an ever-decreasing rate as x gets larger. It becomes very negative as x approaches 0 from the right. The graph of y=-log base 2 of x is the same as the first graph, but flipped over the x-axis. The graph of y=-log base 2 of (x+2) is the same as the first graph, but shifted to the left by 2.
Intro to arccosine. Evaluate inverse trig functions. Restricting domains of functions to make them invertible. Domain & range of inverse tangent function. Using inverse trig functions with a calculator. Inverse trigonometric functions review. Math>. Precalculus>. Trigonometry>.
When you are asked for the domain, you are to identify where a function exists with respect to the x-axis. As the x-axis is the horizontal axis (left to right), you would want to note the arrows on either end of the parabola.
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Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.
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