Math  /  Word Problems

QuestionWhich function can have multiple increasing intervals? a. Square root b. Cube root c. Quadratic d. Cubic

Studdy Solution
Now let's consider the cubic functions. The general form is f(x)=ax3+bx2+cx+df(x) = ax^3 + bx^2 + cx + d. Depending on the values of aa, bb, cc, and dd, these functions can have more than one increasing interval.
For example, consider the cubic function f(x)=x33x29x+27f(x) = x^3 -3x^2 -9x +27. This function increases from -\infty to 1-1, decreases from 1-1 to 33, and increases again from 33 to \infty.
Therefore, the correct answer is d. Cubic.

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