# How do you find the domain and range of f(x)=3x^4-10?

Jul 2, 2018

Domain: $x \in \mathbb{R} \mathmr{and} \left(- \infty , \infty\right)$
Range : $f \left(x\right) \ge - 10 \mathmr{and} \left[- 10 , \infty\right)$

#### Explanation:

$f \left(x\right) = 3 {x}^{4} - 10$

Domain : Possible input value of $x$ . Any input of $x$ is possible.

Domain: $x \in \mathbb{R} \mathmr{and} \left(- \infty , \infty\right)$

Range : Possible output value of f(x) ; x^4>=0 .

Range : $f \left(x\right) \ge - 10 \mathmr{and} \left[- 10 , \infty\right)$

graph{3x^4-10 [-40, 40, -20, 20]} [Ans]