use a table of values to estimate the intercepts and turning points of the function. f(x)=x^3+2x^2-5x-6

Answer 1

You can use a TI 83 or 84 (or similar Casio graphing calculator) to graph and produce a table.

You can also use the free online Desmos graphing calculator, and I did just that to produce this graph and table:

https://www.desmos.com/calculator/txb0pqghtp

From that table, it is easy to see the x-intercepts, the one and only y-intercept, and rough approximates for the turning points (maximums and minimums, one each in this case).

Answer 2

Hi Destiny B.

This looks like a question from Quizlet or some other website; “use a table of values to estimate the intercepts and turning points of the function. f(x)=x^3+2x^2-5x-6”.

You can generate a table of values by assigning values for x and calculating values for f(x). Also since, the highest power of the function is 3 there is the possibility of 3 x intercepts, plus one y intercept at x = 0.

When x = 0 that says that your y intercept is -6, (negative 6). When x = 1, f(x) = -8, when x = -1, f(x) = 0.

For your table you always want to check, the y intercept, and the simplest form of the function at x = 1 and proceed from there. Next you would want to check on the coefficients of x, for example you may have an x intercept at 2, or 5.

I hope this helps you to generate a table of values.

I don’t quite understand your question do you want us to generate a table of values for you?

Answer 3