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Which of the following graphs could be the graph of the function f(x) = x3 + 8?

Tara Andrews

in Mathematics

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Donald Ward on September 4, 2018

It seems that you forgot to load graphics given with the question. So I'm going to draw the graphic myself and then explain the answer.f(x)=x^3+8 is the given function that is created from the parent function f(x)=x^3Graph of x^3 is like the graph of any degree is odd, the function that starts from the bottom and going to the top due to the positive leading coefficient.then there is +8, which means father of the function is shifted 8 units up.You can directly connect some numbers to find points at which f(x)=x^3+8 then join the points to obtain the graph easily.as we use the numbers x=-2,-1,0,1,2,...I will show you the calculation for x=-2f(-2)=(-2)^3+8=(-2)(-2)(-2)+8=-8+8=0Hence first point (-2,0)in the same way, you can find more points, then use them to find the final graph, as shown in the attached image.


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