The range of the function f(k)=k^2+2k+1 is {25, 64}. what is the function’s domain?

The domain is [-9, -6] and [4,7]

Step-by-step explanation:

The range of the function is the output values which the function has on its graph. The function f(k)=k^2+2k+1 has a range of {25, 64}. Since these are the boundaries of the range, then the boundary of the domain will be the corresponding inputs which map to these values. Graph the function and identify the input values for f(k) = 25 and f(k) = 64.

Consider the point marked on the graph below. The x value of the furthest left point is the left boundary of the domain. The x value of the furthest right point is the right boundary of the domain. You'll notice the range is only a particular section of the complete the graph. This means there will be two sets for the domain.

The domain is [-9, -6] and [4,7].

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step-by-step explanation: