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The complete graph of the function f is shown in the xy-plane above. For what value of x is the value of f (x) at its minimum?
- a)−5
- b)−3
- c)−2
- d)3
Correct answer is option 'B'. Can you explain this answer?
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The complete graph of the function f is shown in the xy-plane above. F...
The minimum value of the function corresponds to the y-coordinate of the point on the graph that has the smallest y-coordinate on the graph. Since the smallest y-coordinate belongs to the point with coordinates (-3, -2), the minimum value of the graph is f(-3) = -2. Therefore, the minimum value of f(x) is at x = -3.
Choice A is incorrect; -5 is the least value for an x-coordinate, not the y-coordinate, of a point on the graph of y = f(x). Choice C is incorrect; it is the minimum value of f, not the value of x that corresponds to the minimum of f. Choice D is incorrect; it is the value of x for which the value of f(x) has its maximum, not minimum.
Choice A is incorrect; -5 is the least value for an x-coordinate, not the y-coordinate, of a point on the graph of y = f(x). Choice C is incorrect; it is the minimum value of f, not the value of x that corresponds to the minimum of f. Choice D is incorrect; it is the value of x for which the value of f(x) has its maximum, not minimum.
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The complete graph of the function f is shown in the xy-plane above. For what value of x is the value of f (x) at its minimum?a)−5b)−3c)−2d)3Correct answer is option 'B'. Can you explain this answer?
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