Evaluating and Solving Quadratic Functions The function Ht) 2 0.23t2 + 1.4t + 20, where Mt) is height in feet, models the height of an "angry bird" shot into the sky as a function of time (seconds). Use this function to answer the following questions. Round all answers to two decimal places How high above the ground was the bird when it was launched? The bird was 0' feet above the ground when it was launched. After how many seconds does the bird reach its highest point? The bird reaches its highest point after 5' seconds How high is the angry bird at its highest point? The bird is 0' feet above the ground at its highest point After how many seconds does the angry bird hit the ground? The bird will hit the ground (1' seconds after it is launched If the bird is traveling at 16 feet per second, how far does the angry bird travel before it hit the ground? If the bird is traveling at 16 feet per second, it will travel ' ' feet before it hits the ground Determine the practical domain ofthis function. Write your answer in Interval Notation Practical Domain: l l Determine the practical range of this function. Write your answer in Interval Notation Practical Range: l l As the selling price ofa product increases, demand decreases. Fewer people will buy a product if it is more expensive. This is a very important concept. The demand equation for new iSmarts is given byp = 126 0.07:1: , wherep is the unit price (in dollars) of the iSmart and :1: is the number of units produced. We can determine the total revenue (money earned for selling :1: iSmarts) by multiplying the number of items we sell, :1: and the price p. The total revenue obtained by producing and selling :1: iSmarts is given by R = mp = 126:1: 0.07332. It makes sense that this function is quadratic. The company can price the iSmarts so high that no one will buy them and the revenue will be zero. The can also set the price to $0, but the revenue will still be $0, no matter how many iSmarts they "sell". In between, the graph is a parabola opening downward. Determine prices 31 that would keep revenue above 7110 dollars. Give your answers to 2 decimal places. The revenue will be above 7110 if price is between $l \\{Iower price) and $ ' (higher price) How many iSmarts will be sold at these prices? Give the nearest whole number of iSmarts. After all, who would buy a fraction of an iSmart? At the lower price, 'iSmar'ts will be sold and at the higher price, ' iSmarts will be sold. What price will maximize revenue, how many iSmarts is this, and what is the maximum revenue? The company will maximize revenue if they sell the iSmarts for SB" l. They will sell iSmarts and will have a revenue of 55'