click and drag the red zero points at x = 0 and x = 1 on top of the zero at x = 2. the shape of the graph of…

click and drag the red zero points at x = 0 and x = 1 on top of the zero at x = 2. the shape of the graph of f(x) near x = 2 behaves like which type of function? use the interactive figure to find your answer. use the left and right arrow keys to move along a slider as needed. click here to launch the interactive figure. choose the correct answer below. a. constant b. linear c. quadratic d. cubic

click and drag the red zero points at x = 0 and x = 1 on top of the zero at x = 2. the shape of the graph of f(x) near x = 2 behaves like which type of function? use the interactive figure to find your answer. use the left and right arrow keys to move along a slider as needed. click here to launch the interactive figure. choose the correct answer below. a. constant b. linear c. quadratic d. cubic

Answer

Brief Explanations:

When we have multiple zero - points overlapping at a particular value of (x), the multiplicity of the zero affects the shape of the graph near that point. If we have three zero - points (from (x = 0), (x = 1) being dragged onto (x = 2)), the zero at (x=2) has a multiplicity of 3. A function with a zero of multiplicity 3 has a cubic - like shape near that zero. A constant function has a flat graph and no non - trivial zeros. A linear function has a zero of multiplicity 1. A quadratic function has a zero of multiplicity 2.

Answer:

D. Cubic