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Oksi-84 [34.3K]
2 years ago
15

<

Mathematics
1 answer:
irinina [24]2 years ago
8 0

Answer:

Step-by-step explanation:

Remark

f(x) = 9x^2 - 5x + 3 is given. The notation means that wherever you see and x on the right, you replace it with the x in the brackes on the left. f(3) is a direction, not anything you have to adjust or manipulate.

Solution

f(-3) = 9*(-3^2) - 5*(-3) + 3       (-(3))^2 = -3 * -3 = 9  two minuses make a +

f(-3) = 9*(-3)(-3) + 15 + 3          -3 times an operation of minus equals a +

f(-3) = 9 * 9 + 15 + 3

f(-3) = 81 + 15 + 3

Answer: f(-3) = 99

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The x-intercepts of the piecewise function are 1.59 and 17 and the intervals where g(x) is positive are (-2,0) and [2,17)

<h3>The graph of the function</h3>

The piecewise function is given as:

g(x) = \left[\begin{array}{cc}x^3-4x &x < 2\\-\log_4(x - 1) + 2 &x \ge 2\end{array}\right

See attachment for the graph of the piecewise function.

<h3>The x-intercepts of the piecewise function</h3>

This is the point where the piecewise function crosses the x-axis.

From the attached graph, the graph crosses the x-axis at x = -2, x = 0 and x = 17

Hence, the x-intercepts of the piecewise function are -2, 0 and 17

<h3>The intervals where g(x) is positive</h3>

This is the range of x value where g(x) > 0

From the attached graph, g(x)> 0 between x = -2 & x = 0 and between x = 2 (inclusive) & x = 17

Hence, the intervals where g(x) is positive are (-2,0) and [2,17)

Read more about piecewise function at:

brainly.com/question/11827078

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