Question

Find Absolute maximum & Absolute minimum.
value
i f(x) = ( 4 ) 2 +
in [2,25?
for the function​

Answer 1

Answer:

plz can u rewrite the equation I don't understand

Answer 2

Answer:

Step-by-step explanation:

Solution:

Given f (x) = |x + 2| ≥ 0 for x ∈ R

= f(x) ≥ 0 for all x ∈ R

So the minimum value of f(x) is 0, which attains at x =2

Hence, f(x) = |x + 2| does not have the maximum value.

4. f (x) = sin 2x + 5 on R

Solution:

Given f (x) = sin 2x + 5 on R

We know that – 1 ≤ sin 2x ≤ 1

= – 1 + 5 ≤ sin2x + 5 ≤ 1 + 5

= 4 ≤ sin 2x + 5 ≤ 6

Hence, the maximum and minimum value of h are 4 and 6 respectively.

5. f (x) = |sin 4x + 3| on R

Solution:

Given f (x) = |sin 4x + 3| on R

We know that – 1 ≤ sin 4x ≤ 1

= 2 ≤ sin 4x + 3 ≤ 4

= 2 ≤ |sin 4x + 3| ≤ 4

Hence, the maximum and minimum value of f are 4 and 2 respectively.