(a) Find f (2).
(b) Find f (7).
(c) Find x such that f (x)
(d) Find x such that f (x) = 4 .
(a) f (2) ≈ 4.2
(b) f (7) ≈ 4
(c) x ≈ 8.6
(d) x ≈ 1.8, 4.6, 7
Example: Find all x such that f (x) = 0.
f (x) = x(x - 5)2 (2 x + 3)
Solve for x.
x(x - 5)2 (2 x + 3) = 0
Domain & Range
Terminology A function as signs each input one and only one output.
Input ---------------------------> Output
The domain of a function is the set of all possible inputs. The range of a
function is the set of all outputs.
Domain -------------------------> Range
The independent variable represents the input of the function. The dependent
variable represents the output of the function.
Independent Variable --------> Dependent Variable
Use the graph of f(x) and g(x) below to answer parts a-f. Note that g(x) is the
thicker graph and f(x) is the thinner graph.
(a) Find the domain of f(x).
(b) Find the range of f(x).
The domain of the thinner function, f (x), is (-1, 4]. This can be written as -1
< x ≤ 4.
The range of f (x) is (-3, 4], that is -3 < y ≤ 4.
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