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How are a reasonable domain and range determined for a function?
By having some knowledge about the functions involved. The natural domain is the domain for which the function is defined. For example (assuming you want to work with real numbers): The square root of x is only defined for values of x greater or equal to zero. The corresponding range can also be zero or more. The sine function is defined for all real numbers. The values the function can take (the range), however, are only values between -1 and 1. A rational function (a polynomial divided by another polynomial) is defined for all values, except those where the denominator is zero. Determining the range is a bit more complicated here.
What do the zeros of a polynomial function represent on a graph?
The zeros of a polynomial represent the points at which the graph crosses (or touches) the x-axis.
To find the factors of a polynomial from its graph follow this rule If the number is a root of a polynomial then x - a is a factor?
B
How do you graph function g?
use y = g(x) make a table of y values for several x values Find max/min values using derivative. graph the ordered pairs.
When the zeros of a polynomial function are 1 divided by2 and negative 1 what is the function?
Any multiple of X^2+X/2-1/2
