
Properties of Quadratic Functions & Other Polynomials
Quiz by Mrs. Renner
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A school wishes to form three sides of a rectangular playground using 240 meters of fencing. The playground borders the school building, so the fourth side does not need fencing.
As shown below, one of the sides has length x (in meters).
Find a function that gives the area A(x) of the playground (in square meters) in terms of x.



Melissa has 440 meters of fencing and wishes to form three sides of a rectangular field. The fourth side borders a river and will not need fencing.Â
As shown below, one of the sides has length x (in meters).
Find a function that gives the area A(x) of the field (in square meters) in terms of x.Â



Below is the graph of a polynomical function with real coefficients. All local extrema of the function are shown in the graph.Â
What is the sign of the function's leading coefficient?

Below is the graph of a polynomical function with real coefficients. All local extrema of the function are shown in the graph.Â
At which x-values does the function have local minima? If there is more than one value, separate them with commas and a single space in order from smallest to largest value.

Below is the graph of a polynomical function with real coefficients. All local extrema of the function are shown in the graph.Â
Over which intervals is the function decreasing? Choose all that apply.

Below is the graph of a polynomical function with real coefficients. All local extrema of the function are shown in the graph.Â
What is the sign of the function's leading coefficient?

Below is the graph of a polynomical function with real coefficients. All local extrema of the function are shown in the graph.Â
At which x-values does the function have local minima? If there is more than one value, separate them with commas and a single space in order from smallest to largest value.

Below is the graph of a polynomical function with real coefficients. All local extrema of the function are shown in the graph.Â
Over which intervals is the function decreasing? Choose all that apply.

Below is the graph of a polynomical function with real coefficients. All local extrema of the function are shown in the graph.Â
What is the sign of the function's leading coefficient?

Below is the graph of a polynomical function with real coefficients. All local extrema of the function are shown in the graph.Â
At which x-values does the function have local maxima? If there is more than one value, separate them with commas and a single space in order from smallest to largest value.

Below is the graph of a polynomical function with real coefficients. All local extrema of the function are shown in the graph.Â
Over which intervals is the function decreasing? Choose all that apply.

Below is the graph of a polynomical function with real coefficients. All local extrema of the function are shown in the graph.Â
Over which intervals is the function decreasing? Choose all that apply.

Below is the graph of a polynomical function with real coefficients. All local extrema of the function are shown in the graph.Â
What is the sign of the function's leading coefficient?

Below is the graph of a polynomial function with real coefficients. All local extrema of the function are shown in the graph.Â
At which x-values does the function have local maxima? If there is more than one value, separate them with commas and a single space in order from smallest to largest value.

Below is the graph of a polynomical function with real coefficients. All local extrema of the function are shown in the graph.Â
Over which intervals is the function decreasing? Choose all that apply.

Below is the graph of a polynomical function with real coefficients. All local extrema of the function are shown in the graph.Â
What is the sign of the function's leading coefficient?

Below is the graph of a polynomical function with real coefficients. All local extrema of the function are shown in the graph.Â
At which x-values does the function have local minima? If there is more than one value, separate them with commas and a single space in order from smallest to largest value.

Below is the graph of a polynomical function with real coefficients. All local extrema of the function are shown in the graph.Â
Over which intervals is the function decreasing? Choose all that apply.
