Transformation of Graphs
The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.
Exponential Functions
The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.
Use the Leading Coefficient Test to determine the end behavior of the graph of the given polynomial function, f(x) = -x4 + 1 . Then use this end behavior to match the polynomial function with its graph. [The graphs are labeled (a) through (d), see attached]
Given the function:
Given the graphs:
For the given function:
degree of polynomial, (even)
leading coefficient, (odd)
Hence by using leading coefficient test, for a polynomial with even degree and off leading coefficient, the graph will fall to the left and right.
Step by step
Solved in 3 steps with 2 images