Given the graph of a degree 3 polynomial below, complete the table of values for either the x-value of a zero, or the multiplici
1 answer:
The roots or zeros of a polynomial are the points it crosses the x-axis.
The roots of the polynomial in order from least to greatest are -5, 0 and 5
From the graph (see attachment), we have the following highlights
- <em>The graph cross the x-axis at x = -5</em>
- <em>The graph cross the x-axis at x = 0</em>
- <em>The graph cross the x-axis at x = 5</em>
The points at which the graph crosses the x-axis are the roots of the graph.
So, the roots are: -5, 5 and 5
Read more about the roots of a polynomial at:
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Step-by-step explanation:
Putting both functions into a graphing calculator, we can easily find the domain and range. (attatched)
By looking at the graph, we can tell that f(x) is a quadratic function because of the symmetry. We can also tell that it never goes below 4. Knowing this, we can determine the domain and range.
Domain: {x | all real numbers}
Range: {y | y > 4}
By looking at the graph, we can tell that g(x) is an exponential function because it has a curve, and never goes below the x. Knowing this, we can determine the domain and range.
Domain: {x | all real numbers}
Range: {y | y > 0}
