Graph each polynomial function. Estimate the x-coordinates at which the relative maxima and relative minima occur. State the domain and range for each...
5-4 Analyzing Graphs of Polynomial Functions Graph each polynomial equation by making a table of values. 4
3
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1. f (x) = 2x – 5x + x – 2x + 4 SOLUTION: Make a table of values.
Plot the points on the coordinate plane and connect them by a smooth curve.
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3. f (x) = 3x – 4x – 2x + x – 4 SOLUTION: Make a table of values.
Plot the points on the coordinate plane and connect them by a smooth curve.
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5-4 Analyzing Graphs of Polynomial Functions 4
3
2
3. f (x) = 3x – 4x – 2x + x – 4 SOLUTION: Make a table of values.
Plot the points on the coordinate plane and connect them by a smooth curve.
Determine the consecutive integer values of x between which each real zero of each function located. Then draw the graph. 3
2
5. f (x) = x – 2x + 5 SOLUTION:
The change in sign indicates that there is a zero between –2 and –1.
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5-4 Analyzing Graphs of Polynomial Functions Determine the consecutive integer values of x between which each real zero of each function located. Then draw the graph. 3
2
5. f (x) = x – 2x + 5 SOLUTION:
The change in sign indicates that there is a zero between –2 and –1.
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3
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7. f (x) = –3x + 5x + 4x + 4x – 8 SOLUTION:
The changes in sign indicate that there are zeros between 0 and 1 and between 2 and 3.
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5-4 Analyzing Graphs of Polynomial Functions 4
3
2
7. f (x) = –3x + 5x + 4x + 4x – 8 SOLUTION:
The changes in sign indicate that there are zeros between 0 and 1 and between 2 and 3.
Graph each polynomial function. Estimate the x-coordinates at which the relative maxima and relative minima occur. State the domain and range for each function. 3
2
9. f (x) = x + x – 6x –3 SOLUTION:
Graph the polynomial.
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5-4 Analyzing Graphs of Polynomial Functions Graph each polynomial function. Estimate the x-coordinates at which the relative maxima and relative minima occur. State the domain and range for each function. 3
2
9. f (x) = x + x – 6x –3 SOLUTION:
Graph the polynomial.
Relative maxima at ; Relative minima at Domain: {All real numbers} Range: {All real numbers} 3
2
11. f (x) = –x + 4x – 2x – 1 SOLUTION:
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Relative maxima at ; Relative minima at Domain: {All real numbers} 5-4 Analyzing of Polynomial Functions Range: {AllGraphs real numbers} 3
2
11. f (x) = –x + 4x – 2x – 1 SOLUTION:
Graph:
Relative maxima at ; Relative minima at Domain: {All real numbers} Range: {All real numbers}
