Answer:
maximum
Step-by-step explanation:
Given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0), then
• If a > 0 then minimum value
• If a < 0 then maximum value
Given
f(x) = 5 - x² + 2x = - x² + 2x + 5 ← in standard form
with a = - 1 < 0
Thus f(x) has a maximum value
Answer:
differentiate with respective to x
f'(×)=-2x+2
f'(×) >0 for x<1
f'(X)<0 for x>1
therefore the function keeps increasing from -infinty to 1 and starts decreasing from 1to +infinity. ie the graph has a maximum
