Advertisements
Advertisements
प्रश्न
Determine whether the following function is odd or even?
f(x) = sin x + cos x
बेरीज
Advertisements
उत्तर
f(x) = sin x + cos x
f(-x) = sin(-x) + cos(-x)
= - sin x + cos x
= - [sin x – cos x]
Since f(-x) ≠ -f(x) (or) f(x) ≠ -f(x)
∴ f(x) is neither odd nor even function.
shaalaa.com
Functions and Their Graphs
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Differential Calculus - Exercise 5.1 [पृष्ठ १०५]
APPEARS IN
संबंधित प्रश्न
Determine whether the following function is odd or even?
f(x) = `((a^x - 1)/(a^x + 1))`
Determine whether the following function is odd or even?
f(x) = x + x2
Draw the graph of the following function:
f(x) = 16 – x2
Draw the graph of the following function:
f(x) = `|x|/x`
If f(x) = x2 – x + 1 then f(x + 1) is:
The graph of y = ex intersect the y-axis at:
If f(x) = 2x and g(x) = `1/2^x` then (fg)(x) is:
f(x) = -5, for all x ∈ R is a:
The range of f(x) = |x|, for all x ∈ R is:
If f(x) = x2 and g(x) = 2x + 1 then (fg)(0) is:
