Mathematics, 04.02.2021 02:40 Kalle91106

PLEASE HELP ILL GIVE BRAINLEST Below is the graph of a polynomial function F with real coefficients. Use the graph to answer the following questions about F. All local extrema of F are shown in the graph.

(For the last question, the multiple choice answers are ‘4,5,6,7,8,9’ I am allowed to choose more than one if needed)

PLEASE HELP ILL GIVE BRAINLEST

Below is the graph of a polynomial function F with real coefficien

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Answer from: kaniyawilhite

(a) (-∞, -8) U (-4, 0) U (5, 9)

To find the intervals of decreasing, you just pay attention to where the graph is angled downward, when looking at it from left to right.

I usually do this by drawing lines on the x value where there is a local max/min and looking to see what the values are at that line.

You then make an ordered pair out of the two numbers.

This is the same process for finding both the increasing and decreasing intervals.

(b) -4, 5

A common mistake for this problem could be that you put the maximum and minimum x values in for this function, but the problem is only asking for the maximums.

If you look at the graph and find the point, the x-values are what you will use for this problem.

For these kinds of problems, I draw an imaginary vertical line through the middle of the function.

If the far right and left parts of the function are going up, then the function is positive. If the far right and left parts of the function are going down, then the function is negative. If the far left part of the function is going down while the far right part of the function is going up, then the function is positive. If the far left part of the function is going up while the far right part of the function is going down, then the function is negative.

These positives/negatives belong to the leading coefficient of f.

(d) 6

The degree of f relies on the number of times the function touches the x-axis.

Multiplicity: the number of times any given x-intercept appears in the equation

If an x-intercept passes through the x-axis, then that intercept has a multiplicity of 1If an x-intercept bounces off of the x-axis, then that intercept has a multiplicity of 2If an x-intercept passes through the x-axis, but flattens out when it touches the x-axis, then that intercept has a multiplicity of 3

Adding up the multiplicities of all of the x-intercepts gives you the degree of the function.

In this problem, there are x-intercepts that simply pass through the x-axis at -9, -6, 8, and 10, and an x-intercept that bounces off of the x-axis at 0, which makes it a function of degree 6.

Answer from: Quest

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

Which characteristics will prove that def is a right,isosceles triangle

Answer from: Quest

step-by-step explanation:

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