Finding minimum and maximum values from graph
Finding minimum and maximum values from graph
Last updated at April 16, 2024 by Teachoo
Example 14 Find the maximum and the minimum values, if any, of the function f given by f (𝑥) = 𝑥2 , 𝑥 ∈ R f(𝑥)=𝑥^2 First we plot the Graph of 𝒙^𝟐 At x = 0 f(0)=0 And, we note that f(𝑥)>0 for all 𝑥 except 0 Thus, Minimum value of f(𝑥)=𝟎 at 𝒙 = 0 Also, Since f(𝒙)>𝟎 for all 𝑥 except 0 So, we cannot find a maximum value Example: f(100)=(100)^2 = 10000 f(1000)= (1000)^2 = 1000000 Hence , we cannot find maximum value of f(𝑥) on 𝒙 ∈ R