Question

need help with this assingment medal and fan

Answer 1

The town of West Mathington needs help planning some roads that will connect parts of their fair city. The town of West Mathington is laid out so that North is the positive y-axis, and East is the positive x-axis. The roads will follow the paths of graphs created from linear, quadratic, and exponential functions.

These samples provided will give you an idea of what a final map could look like.

Answer 2

http://learn.flvs.net/webdav/educator_algebraI_v17/module09/images/09_06_assessment/09_06_assessment_01.jpg

Answer 3

West Mathington’s most urgent need is a parabolic freeway. Create your own upward opening quadratic function, f(x), which has two real zeros. Prove that f(x) has two real zeros.

If you are doing this project collaboratively, then your partner will need to create a unique second freeway function, g(x), and prove that it also has two real zeros.

Two on-ramps need to be placed on the parabolic freeway. Decide where on the parabola of f(x) you are placing the on-ramp locations. Write those ordered pairs down.

If you are working collaboratively, identify four on-ramps, two on each function.

West Mathington wants to connect these on-ramps with some surface roads.
Create a linear growth function, h(x), that passes through both on-ramp points.
Create an exponential growth function, j(x), that passes through at least one of the on-ramp points.

Show all of the work you did to create both functions.

Collaborative pairs need to connect linear function h(x) through the on ramp points on f(x), and connect exponential function j(x) through any on ramp point on g(x). At least three of the four on ramp points will be used.

What important relationship do the x-coordinates of the on-ramp location points have with the system of equations formed by the two roads’ functions that are being connected? Provide justification and support for your explanation.

The city planner needs to identify the most northern road. Prove which road will eventually go the furthest to the north (positive y-direction). Create tables for your functions using an appropriate domain of five integers. Using the tables and graph, explain to the city planner which road will be the furthest north as the x-values continue to get larger (the road continues to go east). Provide reasoning why.

Collaborative groups should prove whether f(x) or h(x) is the most northern between the two, and whether g(x) or j(x) is the most northern between those two.
Include your graph that shows the functions that model each of the roads and the on-ramps.