4. Describe the behavior of the graph at the x-intercepts for the function f(x) = (2x-7)^7 (x+3)^4. Be sure to identify each x-intercept and justify your answer. How does each exponent change the look of the graph at the x-axis?

Question

4. Describe the behavior of the graph at the x-intercepts for the function f(x) = (2x-7)^7 (x+3)^4. Be sure to identify each x-intercept and justify your answer.  How does each exponent change the look of the graph at the x-axis?

Steve · Answer

roots with odd multiplicity: graph crosses the x-axis with even multiplicity, the graph bounces off the axis. compare x^2 and x^3