Answer:
- A zero can be found between input values of x = - 1 and x = 0 because one zero of the function is approximately - 0.5 .
Step-by-step explanation:
The first pictured attached contains the table with the data for this question.
The input values are the values of x.
Since the function, f(x), changes sign between x = - 1 (y = - 0.5) and x = 0 (y = 2.5), if you assume the function is continuous, you can assert that the graph of the function crosses the x-axis between those two values.
The x-coordinate where the graph crosses the x-axis is a zero of the function.
Then, you can assert that there is a zero between the input values of - 1 and 0.
That zero is approximately - 0.5. This is, the function crosses the x-axis approximately at x = - 0.5.
The second picture skecthes a graph showing the given points where you can see that the dotted curve crosses the x-axis close to x = - 0.5.