Advertisements
Advertisements
प्रश्न
Determine whether the following function is odd or even?
f(x) = x + x2
उत्तर
f(x) = x + x2
f(-x) = (-x) + (-x)2 = -x + x2
Since f(-x) ≠ f(x), f(-x) ≠ -f(x).
∴ f(x) is neither odd nor even function.
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) = `log (x^2 + sqrt(x^2 + 1))`
Determine whether the following function is odd or even?
f(x) = sin x + cos x
Let f be defined by f(x) = x3 – kx2 + 2x, x ∈ R. Find k, if ‘f’ is an odd function.
If f(x) = ex and g(x) = loge x then find (fg)(1).
If f(x) = ex and g(x) = loge x then find (5g)(1).
Draw the graph of the following function:
f(x) = 16 – x2
Draw the graph of the following function:
f(x) = e-2x
The minimum value of the function f(x) = |x| is:
The graph of f(x) = ex is identical to that of: