The function
f ( x ) = 2 x 3 − 42 x 2 + 270 x + 9 \displaystyle {f{{\left({x}\right)}}}={2}{x}^{{3}}-{42}{x}^{{2}}+{270}{x}+{9} f ( x ) = 2 x 3 − 42 x 2 + 270 x + 9
has one local minimum and one local maximum. Use a graphing calculator or Desmos to graph the function. Use the graph to estimate these local extrema.
This function has a local minimum at
x \displaystyle {x} x =
Preview Question 6 Part 1 of 4 with output value
Preview Question 6 Part 2 of 4
and a local maximum at
x \displaystyle {x} x =
Preview Question 6 Part 3 of 4 with output value
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Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)