If we have the question
[tex]y=-2x^4+7[/tex]To get the range of the function
Let us plot the graph
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually)
The range of the function is
[tex]\begin{bmatrix}\mathrm{Solution\colon}\: & \: y\le\: 7\: \\ \: \mathrm{Interval\: Notation\colon} & \: (-\infty\: ,\: 7\rbrack\end{bmatrix}[/tex]Thus, the answer is option C:
[tex]y\le7[/tex]