a local maximum of the function f(x) occurs for which x - value?\n|x|f(x)|\n|-4|16|\n|-3|-2|\n|-2|0|\n|-1|6|\…
a local maximum of the function f(x) occurs for which x - value?\n|x|f(x)|\n|-4|16|\n|-3|-2|\n|-2|0|\n|-1|6|\n|0|0|\n|1|-2|\n-4\n-3\n-2\n-1
Answer
Answer:
-1
Explanation:
Step1: Identify local maximum concept
Local maximum is highest $f(x)$ in local area.
Step2: Compare $f(x)$ values
Compare values in table: $f(-4)=16$, $f(-3)= - 2$, $f(-2)=0$, $f(-1)=6$, $f(0)=0$, $f(1)=-2$.
Step3: Determine local - maximum $x$ - value
Among these, $f(-1) = 6$ is relatively high compared to nearby $x$ values. So local maximum occurs at $x=-1$.