Task My sister's birthday is in a few weeks and I would like to buy her a new vase to keep fresh
flowers in her house. She often forgets to water her flowers and needs a vase that holds a lot of
water. In a catalog there are three vases available and I want to purchase the one that holds the
most water. The first vase is a cylinder with diameter 10 cm and height 40 cm. The second vase
is a cone with base diameter 16 cm and height 45 cm. The third vase is a sphere with diameter
18 cm
22
Cylinder Vase
Show off your flowers in this beautiful Vase.
Cone Vase
This vase holds your flowers in place

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).