MATH 1261 Lecture 3: Chapter 1-4
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A function p is called a polynomial, if it can be written as xp xa n n a. Where n is a nonnegative integer and are constants the numbers na aa. A quadratic function can be expressed in the standard form xf bx c ax. The graph s a parabola with vertex (h,k); the parabola opens upward if a is positive or downward if a is negative. A function of the form xf nx where a is a constant is called a power function. 3 x x xf xf x xf x. A rational function f is a function formed by dividing one polynomial by another: xf xp xq. The domain consists of all values of x such that q(x) 0. When the output value of a function is proportional to the input value, we say the output y varies directly with the input x.