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Use the graph to determine the following a) f(4) b) the domain c) any x-values for which f(x) = 3 d) the...

Use the graph to determine the following
a) f(4)
b) the domain
c) any x-values for which f(x) = 3
d) the range
a) Find f(4).
f(4) = (Type an integer or a simplified fraction.)

Answer

  1. f(4): To find f(4), locate x = 4 on the graph and find the corresponding y-value. The y-value is 0, so f(4) = 0.

  2. The domain: The domain is the set of all x-values for which the function is defined. From the graph, the domain is all real numbers from -2 to 6, inclusive. So, the domain is [-2, 6].

  3. Any x-values for which f(x) = 3: To find x-values where f(x) = 3, locate y = 3 on the graph and find corresponding x-values. The x-value is 0, so x = 0.

  4. The range: The range is the set of all y-values that the function can take. From the graph, the range is all real numbers from -2 to 3, inclusive. So, the range is [-2, 3].

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