The truth table represents statements p, q, and r.

Mathematics

1 answer:

qaws [65]3 years ago

4 0

Answer:

Step-by-step explanation:

In the picture attached, the Truth Table for the operator “OR” is shown. With it we can compute the next table:

p q ∧ r p ∨ (q ∧ r)

T T T

T F T

F T T

F F F

We want that p would be false and p ∨ (q ∧ r) would be true, which corresponds to the third row of the previous table.

The only row from the table of the question that satisfies this criterion is row E.

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Which of the following statements are true about graphs of polynomial functions? Check all that apply. The local maximum and loc

Law Incorporation [45]

Answer: The answers are

(i) The local maximum and local minimum always occur at a turning point.

(iii) The ends of an even-degree polynomial either both approach positive infinity or both approach negative infinity.

Step-by-step explanation: We are given three statements and we are to check which of these are true about the graphs of polynomial functions.

In the attached figure (A), the graph of the polynomial function $x^3-6x^2+4$ is drawn. We can see that the local maximum occurs at the turning point P and local minimum occurs at the turning point Q. Also, the local maximum is not equal to the x-value of the coordinate at that point

Thus, the first statement is true. and second statement is false.

Again, in the attached figure (B), the graph of the even degree polynomial $x^2+5x+6$ is drawn. We can see that both the ends approaches to positive infinity and in case of $-x^2+5x+6$ , both the ends approch to negative infinity.