Polynomial Functions

What is the leading coefficient of the polynomial function $$f\left(x\right)=2x+x^3+4$$ ?

How should the polynomial function $$f\left(x\right)=2x+x^3+3x^5+4$$ be written in standard form?

Which of the following could be the graph of the polynomial function $$y=x^3-4x^2+3x-12?$$

From the choices, which polynomial function in factored form represents the given graph?

If you will draw the graph of $$y=x\left(x+2\right)^2$$ , how will you sketch it with respect to the x-axis?

What are the end behaviors of the graph of $$f\left(x\right)=-2x+x^3+3x^5-4$$ ?

You are asked to illustrate the sketch of $$f\left(x\right)=x^3-3x^5+4\$$ using its properties. Which will be your sketch?

Which of the following is a polynomial function?

A car manufacturer determines that its profit, P, in thousands of pesos, can be modeled by the function $$P\left(x\right)=0.00125x^4+x-3,\$$ where x represents the number of cars sold. What is the profit at $$x=150?$$

Which of the following could be the value of $$n$$ in the equation $$f\left(x\right)=x^n$$ if $$f$$ is a polynomial function?