View the step-by-step solution to:

# 5 0 0.5 f(x) -1 -4 -6 -7 -6 1.

x     -1.5     -1.0   -0.5    0    0.5   1.0   1.5
f(x)  -1       -4     -6     -7     -6   1.0    -7
f'(x) -7       -5     -3      0      3    5      7
Let f be a function that is differentiable for all real numbers.  The table above gives the values of f and its derivative f' for selected points x in the closed interval -1.5 0 for -1.5Let graph of g be the function given by
2x^2-x-7 for xg(x) =     and
2x^2+x-7 for x>or equal 0
The graph of g passes through each of the points (x,f(x)) given in the table above.  Is it possible that f and g are the same function?  Give a detailed reason for your answers

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