Advertisements
Advertisements
प्रश्न
Determine whether the following function is odd or even?
f(x) = x2 – |x|
योग
Advertisements
उत्तर
Given f(x) = x2 – |x|
f(-x) = (-x)2 – |-x|
= x2 – |x|
= f(x)
∴ f(x) is an even function.
shaalaa.com
Functions and Their Graphs
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 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) = `log (x^2 + sqrt(x^2 + 1))`
If f(x) = `x^3 - 1/x^3`, then show that `"f"(x) + "f"(1/x)` = 0
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) = |x – 2|
Draw the graph of the following function:
f(x) = e-2x
If f(x) = x2 – x + 1 then f(x + 1) is:
f(x) = -5, for all x ∈ R is a:
