27.3k views
3 votes
Is the function p(x) = 3x^2 - 4 a linear function?

A. True
B. False

1 Answer

3 votes

Final answer:

The function p(x) = 3x^2 - 4 is not a linear function but instead a quadratic function, as identified by its x^2 term. The graph of this function is a parabola, not a straight line, so the answer is B. False.

Step-by-step explanation:

The function p(x) = 3x^2 - 4 is not a linear function. Linear functions have the general form y = mx + b, where m and b are constants, and the graph of a linear function is a straight line.

Since p(x) is a polynomial of degree 2 (due to the x^2 term), it is actually a quadratic function, not linear. The graph of a quadratic function is a parabola, which is a curved line.

Therefore, the correct answer to whether p(x) is a linear function is B. False.

User Maxshuty
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.