Advertisements
Advertisements
प्रश्न
Draw the graph of the following function:
f(x) = `|x|/x`
Advertisements
उत्तर
If f: R → R is defined by
f(x) = `{(|x|/x if x ≠ 0),(0 if x = 0):}`
= `{(x/x if x > 0),((- x)/x if x < 0):}`
= `{(1 if x > 0),(- 1 if x < 0):}`
The domain of the function is R and the range is {-1, 0, 1}.
APPEARS IN
संबंधित प्रश्न
Determine whether the following function is odd or even?
f(x) = `log (x^2 + sqrt(x^2 + 1))`
Let f be defined by f(x) = x3 – kx2 + 2x, x ∈ R. Find k, if ‘f’ is an odd function.
For f(x) = `(x - 1)/(3x + 1)`, write the expressions of `"f"(1/x) and 1/("f"(x))`
If f(x) = ex and g(x) = loge x then find (5g)(1).
If f(x) = x2 – x + 1 then f(x + 1) is:
The graph of the line y = 3 is
The graph of y = ex intersect the y-axis at:
The minimum value of the function f(x) = |x| is:
Which one of the following functions has the property f(x) = `"f"(1/x)`?
The graph of f(x) = ex is identical to that of:
