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13 Nov 2019
Consider the function f(x)=[(x3)/(x2-4)] - (x/2) - 1
a) Find all critical points (relative maxima and minima) and points of reflection of f(x). Write each point as an ordered pair with values rounded to the tenth.
b) State open intervals on which the function is increasing, decreasing, concave up, and concave down. Write each interval in interval notation with values rounded to the tenth.
c) Use part a-c to create a graph of the function. Clearly label all relative extrema and points of reflection.
d) Find the equation of the line tangent to f(x) at the point where the graph crosses the x-axis. Round all numbers to the thousandths.
Consider the function f(x)=[(x3)/(x2-4)] - (x/2) - 1
a) Find all critical points (relative maxima and minima) and points of reflection of f(x). Write each point as an ordered pair with values rounded to the tenth.
b) State open intervals on which the function is increasing, decreasing, concave up, and concave down. Write each interval in interval notation with values rounded to the tenth.
c) Use part a-c to create a graph of the function. Clearly label all relative extrema and points of reflection.
d) Find the equation of the line tangent to f(x) at the point where the graph crosses the x-axis. Round all numbers to the thousandths.
Sixta KovacekLv2
7 Apr 2019
