please help me solve the math problem thank you Consider the

please help me solve the math problem, thank you

Consider the polynomial function graphed to the right: Answer the following questions and then, write a function, of lowest degree, in factored form, whose graph matches the one shown. Is the degree of the function even or odd? Explain. Is the leading coefficient positive or negative? Explain. Is the multiplicity of the zero x = 1 the same or different than the multiplicity of the zero x = 3? Explain. Write a possible function for this graph in factored form.

Solution

i. Here the graph starts from up and ends in the downward direction. So the degree is odd of this graph

ii. Here the graph starts in upward direction and ends in downward direction,so the leading coefficient is negative

iii. Since at none of these points,the graph changes its direction,so their multiplicities are odd

iv. f(x)= (x+1)(x-1)(x-3)