Finding minimum and maximum values from graph
Finding minimum and maximum values from graph
Last updated at April 16, 2024 by Teachoo
Example 15 Find the maximum and minimum values of f , if any, of the function given by f(x) = |x|, x ∈ R. 𝑓(𝑥)=|𝑥|={█(−&𝑥, 𝑥<0@&𝑥, 𝑥≥0)┤ 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|=100 f(1000)= |1000|=1000 Hence , we cannot find maximum value of f(𝑥) on 𝒙 ∈ R