Question

You are starting your own business. Congratulations! A bank has reviewed your business plan with you and has created a model of the expected value of your company. The graph shows the expected value (y) in hundreds of thousands of dollars over (x) years. What are the zeros of the function and what do they mean for your company?

What's a possible equation for the graph in question 1?

Would the function in question 1 be an even or odd degree function? Explain how you know.

How many years will it take for the value of your company to reach $0? What are some ideas for sustaining your business and employees during those years where it has a negative value?

After 4 years, how much is your company worth? Justify your reasoning with words and/or by creating a graph in Desmos and attaching it.

After 4 years, how much is your company worth? Justify your reasoning with words and/or by creating a graph in Desmos and attaching it.

Answer 1

The zeros of the function represent the years when your company breaks even. The equation for the graph would be in the form y = f(x), where x represents the number of years. The degree of the function can be determined by the highest power of x in the equation.

Step-by-step explanation:

Zeros of the function:

To find the zeros of the function, you need to identify the x-values where the graph intersects the x-axis. These points represent the years when the expected value of your company is zero. In other words, they are the years when your company breaks even. You can find the zeros by setting the equation equal to zero and solving for x.

Possible equation for the graph:

Since the graph represents the expected value of your company over time, the equation for the graph would be in the form y = f(x), where y represents the expected value in hundreds of thousands of dollars and x represents the number of years.

Degree of the function:

The degree of the function can be determined by the highest power of x in the equation. In this case, if the equation is linear, it would be a degree 1 function. If it is quadratic, it would be a degree 2 function. If it is a cubic, it would be a degree 3 function, and so on.

Years for the value of the company to reach $0:

To determine how many years it will take for the value of your company to reach $0, you need to find the x-value when y = 0. This can be done by setting the equation equal to 0 and solving for x. The resulting x-value represents the number of years it will take for the company's value to reach $0.

Ideas for sustaining the business during negative value years:

If the expected value of your company is negative, it means that your company is incurring losses. To sustain the business and employees during these years, you could consider implementing cost-cutting measures, exploring new revenue streams, seeking financial support from investors or lenders, or diversifying your product or service offerings.

Value of the company after 4 years:

To determine the value of your company after 4 years, you need to substitute x = 4 into the equation and solve for y. This will give you the expected value of your company in hundreds of thousands of dollars after 4 years.