Questions: Choose the end behavior of the graph of each polynomial function. (a) f(x)=-4x^6+4x^5-8x-3 - Falls to the left and rises to the right - Rises to the left and falls to the right - Rises to the left and rises to the right - Falls to the left and falls to the right (b) f(x)=6x^3+3x^2-7x+4 - Falls to the left and rises to the right - Rises to the left and falls to the right - Rises to the left and rises to the right - Falls to the left and falls to the right (c) f(x)=-x(x-3)(5x+2) - Falls to the left and rises to the right - Rises to the left and falls to the right - Rises to the left and rises to the right - Falls to the left and falls to the right

Choose the end behavior of the graph of each polynomial function. (a) f(x)=-4x^6+4x^5-8x-3 - Falls to the left and rises to the right - Rises to the left and falls to the right - Rises to the left and rises to the right - Falls to the left and falls to the right (b) f(x)=6x^3+3x^2-7x+4 - Falls to the left and rises to the right - Rises to the left and falls to the right - Rises to the left and rises to the right - Falls to the left and falls to the right (c) f(x)=-x(x-3)(5x+2) - Falls to the left and rises to the right - Rises to the left and falls to the right - Rises to the left and rises to the right - Falls to the left and falls to the right
Transcript text: Choose the end behavior of the graph of each polynomial function. (a) $f(x)=-4 x^{6}+4 x^{5}-8 x-3$ - Falls to the left and rises to the right - Rises to the left and falls to the right - Rises to the left and rises to the right - Falls to the left and falls to the right (b) $f(x)=6 x^{3}+3 x^{2}-7 x+4$ - Falls to the left and rises to the right - Rises to the left and falls to the right - Rises to the left and rises to the right - Falls to the left and falls to the right (c) $f(x)=-x(x-3)(5 x+2)$ - Falls to the left and rises to the right - Rises to the left and falls to the right - Rises to the left and rises to the right - Falls to the left and falls to the right
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Solution

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Solution Steps

Step 1: Identify the Degree and Leading Coefficient

The degree of the polynomial is 6, and the leading coefficient is -4.

Step 2: Determine the End Behavior

Based on the degree and leading coefficient, The graph falls to the right and falls to the left.

Final Answer:

The end behavior of the polynomial function is such that The graph falls to the right and falls to the left.

Step 1: Identify the Degree and Leading Coefficient

The degree of the polynomial is 3, and the leading coefficient is 6.

Step 2: Determine the End Behavior

Based on the degree and leading coefficient, The graph falls to the left and rises to the right.

Final Answer:

The end behavior of the polynomial function is such that The graph falls to the left and rises to the right.

Step 1: Identify the Degree and Leading Coefficient

The degree of the polynomial is 3, and the leading coefficient is -1.

Step 2: Determine the End Behavior

Based on the degree and leading coefficient, The graph rises to the left and falls to the right.

Final Answer:

The end behavior of the polynomial function is such that The graph rises to the left and falls to the right.

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