f(x) = 2x - 8x² + 1 has a: neither a minimum or maximum maximum minimum
f(x) = 2x - 8x² + 1 has a: neither a minimum or maximum maximum minimum
Answer
Explanation:
Step1: Identify the function type
The function $f(x)=2x - 8x^{2}+1$ is a quadratic function of the form $y = ax^{2}+bx + c$, where $a=-8$, $b = 2$, $c = 1$.
Step2: Determine the sign of $a$
For a quadratic function $y=ax^{2}+bx + c$, if $a>0$, the parabola opens upward and has a minimum. If $a<0$, the parabola opens downward and has a maximum. Here, $a=-8<0$.
Answer:
maximum