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Find the range of the function f(x) = |x|.
|x| is defined as
|x|= x; x>=0
-x; x<0
The value of |x| is never a negative value.
Hence range of |x| is [0, ∞).
Find the set of values for which the function f(x) = 1 – 3x and g(x) = 2x2 – 1 are equal.
Find the set of values for which the function f(x) = x + 3 and g(x) = 3x2 – 1 are equal.
Let X = {–1, 0, 2, 5} and f : X → R Z: f(x) = x3 + 1. Then, write f as a set of ordered pairs.
Let A = {–2, –1, 0, 2} and f : A → Z: f(x) = x2 – 2x – 3. Find f(A).
Let f : R → R : f(x) = x2.
Determine (i) range (f) (ii) {x : f(x) = 4}
Let f : R → R : f(x) = x2 + 1. Find f–1 {10}.
Let f : R+ → R : f(x) = loge x. Find {x : f(x) = –2}.
Let A = {6, 10, 11, 15, 12} and let f : A → N : f(n) is the highest prime factor of n. Find range (f).
Find the range of the function f(x) = sin x.
Write the domain and the range of the function,.
If then find dom (f) and range (f).
Let f = {(1, 6), (2, 5), (4, 3), (5, 2), (8, –1), (10, –3)} and g = {(2, 0), (3, 2), (5, 6), (7, 10), (8, 12), (10, 16)}.
Find (i) dom (f + g) (ii) dom .
If , find the value of .
If , where x ≠ –1 and f{f(x)} = x for x ≠ –1 then find the value of k.
Find the range of the function, .
Find the domain of the function, f(x) = log |x|.
If = for all x ϵ R – {0} then write an expression for f(x).
Write the domain and the range of the function, f(x) = .
Write the domain and the range of the function, f(x) = –|x|.