Question

Which equation could represent the graph shown below?

f(x)=3√x−2
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a) f(x)=3 √x+2
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b) f(x)=3 √x−2
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c) f(x)=3 √x+2
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d) f(x)=3 √x+2
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Answer 1

The equation that represents the graph is f(x) = 3 √x-2 (Option b).

Step-by-step explanation:

The equation that could represent the graph shown is f(x) = 3 √x-2 (Option b).

By comparing the given equation with the options, we can see that Option b matches the equation in the graph. The equation states that the function f(x) is equal to 3 multiplied by the square root of x minus 2.

This equation fits the graph because it has a positive value at x = 3, a positive slope that is decreasing in magnitude with increasing x. Therefore, the correct option is f(x) = 3 √x-2 (Option b).