Problem 2041

What is the range of  f(x) = 2x2 + 1.

 

Solution:-

 

The range of the function  f(x) ≥1

The graph of the function is a parabola. The positive 2 in the equation will make the graph open up. The positive one shifts the graph up vertically. The range relates to they-values with respect to the graph. Therefore, the range is y ≥1.

 

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