Recall that a one-to-one function y= f(x)has an inverse function that is defined (implicitly)by the equation x=f(y),In particular,the exponential function: y=f(x)=a^x,a>0,a≠1,
We give the meaning to expressions of the form a Where the base is a a positive real number and the exponent is r a positive real number. But what is the meaning of a^x,where
For a function y=f(x)to have an inverse function,f must be one-to-one.Then for each x in its domian there is exactly one y in its range;furthermore,to each y in the range,there corresponds exactly one x in the domain....
In this section we will find the complex zero of a polynomial function.Since the set of real numbers is a subset of the set of complex numbers,finding all zeros of a function requires finding all zeros of the form a +...
One property of a real number is that its square is nonnegative.For example,there is no rea number x for which x^2=-1.To remedy this situation we introduce a number called the imaginary unit,which we denote by i and w...
Polynomial functions are among the sim- plest expressions in algebra.They are easy to evaluate:only addition and repeated multipli- cation are required.Because of this,they are often used to approximate other more com...
A power function of degree n is a function of the form f(x)=ax^n.For large n,it appears that the graph coincide with the x-axis near the origin,but it does not;the graph actually touches the x—axis only at the origin.
A function f is even if and only if when- ever the point(x, y)is on the graph off then point(—x,y)is also on the graph.Algebrai- cally,we define an even function as follows: A function f is even if for every number x...