Use the graph of f to determine each of the following. Where applicable, use interval notation. a. the domain of f b. the range of f c. the x -intercepts d. they y -intercept e. intervals on which f is increasing f. intervals on which f is decreasing g. values of x for which f ( x ) ≤ 0 h. the numbers at which f has a relative maximum i. the relative maxima of f j. f ( − 2 ) k. the values of x for which f ( x ) − 0 i. Is f even, odd, or neither?
Use the graph of f to determine each of the following. Where applicable, use interval notation. a. the domain of f b. the range of f c. the x -intercepts d. they y -intercept e. intervals on which f is increasing f. intervals on which f is decreasing g. values of x for which f ( x ) ≤ 0 h. the numbers at which f has a relative maximum i. the relative maxima of f j. f ( − 2 ) k. the values of x for which f ( x ) − 0 i. Is f even, odd, or neither?
Solution Summary: The author explains the domain of f whose graph is: Solution: x -values are the input values to the function, the graph of which is plotted.
Use the graph of f to determine each of the following. Where applicable, use interval notation.
a. the domain of f
b. the range of f
c. the x -intercepts
d. they y -intercept
e. intervals on which f is increasing
f. intervals on which f is decreasing
g. values of x for which
f
(
x
)
≤
0
h. the numbers at which f has a relative maximum
i. the relative maxima of f
j.
f
(
−
2
)
k. the values of x for which
f
(
x
)
−
0
i. Is f even, odd, or neither?
Formula Formula A function f(x) attains a local maximum at x=a , if there exists a neighborhood (a−δ,a+δ) of a such that, f(x)<f(a), ∀ x∈(a−δ,a+δ),x≠a f(x)−f(a)<0, ∀ x∈(a−δ,a+δ),x≠a In such case, f(a) attains a local maximum value f(x) at x=a .
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