#### Question

The function f(x) = x^{9} + 3x^{7} + 64 is increasing on

(a) R

(b) (−∞, 0)

(c) (0, ∞)

(d) R_{0}

#### Solution

(a) R

\[f\left( x \right) = x^9 + 3 x^7 + 64\]

\[f'\left( x \right) = 9 x^8 + 21 x^6 > 0, \forall x \in R\]

\[\text { So,f(x)is increasing on R } .\]

Is there an error in this question or solution?

Solution for question: The Function F(X) = X9 + 3x7 + 64 is Increasing on (A) R (B) (−∞, 0) (C) (0, ∞) (D) R0 concept: Increasing and Decreasing Functions. For the courses CBSE (Science), CBSE (Commerce), PUC Karnataka Science, CBSE (Arts)