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Guide Questions:
1. The degree of functions A, B & C is 3, an odd degree. What can you say about the end behaviors
of their graphs? How many turning points the graphs have?
2. The degree of functions D, E & F is 4, an even degree. What can you say about the end
behaviors of their graphs? How many turning points the graphs have?
3 The leading numerical coefficient of function A is positive 1, while of function B
is negative 2. How does the end behaviors of the two graphs differ?
4. The leading numerical coefficient of function D is positive 1, while of function E
is negative 2. How does the end behaviors of the two graphs differ?​


Sagot :

Answer:

1. A polynomial can also be classified as an odd-degree or an even-degree polynomial based on its degree. Odd-degree polynomial functions, like y = x3, have graphs that extend diagonally across the quadrants. Even-degree polynomial functions, like y = x2, have graphs that open upwards or downwards.

2.The other degrees are as follows: Degree 0: a nonzero constant. Degree 1: a linear function. ... Degree 4: quartic or biquadratic.

3.Test to determine the end behavior of the graph of the polynomial function f(x)=−x3+5x . ... Because the degree is odd and the leading coefficient is negative, the graph rises to the left and falls to the right as shown in the figure.

4.The leading coefficient in a polynomial is the coefficient of the leading term. Since the leading coefficient is negative, the graph falls to the right. Use the degree of the function, as well as the sign of the leading coefficient to determine the behavior.

Step-by-step explanation:

It is the common ways for the functions and behaviors thats the correct ✓