91Ó°ÊÓ

1. Define each term and explain how they are related.

a. solution b. root c. zero of a function d. x-intercept

Give an example of a quadratic function. Identify its quadratic term, linear term, and constant term.

Determine whether each function has a maximum or minimum value. Then find the maximum or minimum value of the function.

$f\left(x\right)=-x^2+7$

Solve each equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.

$25+x^2+10x=0$

Solve each equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.

$4x^2-7x-15=0$

Determine whether each function has a maximum or minimum value. Then find the maximum or minimum value of the function.

$f\left(x\right)=x^2-x-6$

Determine whether each function has a maximum or minimum value. Then find the maximum or minimum value of the function.

$f\left(x\right)=4x^2+12x+9$

Solve each equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.

$2x^2-2x-3=0$

Due to increased production costs, the Daily News must increase its subscription rate. According to a recent survey, the number of subscriptions will decrease by about 1250 for each 25¢ increase in the subscription rate. What weekly subscription rate will maximize the newspaper's income from subscriptions?

NUMBER THEORY Use a quadratic equation to find two real numbers whose sum is 5 and whose product is -14, or show that no such numbers exist.