Provide an appropriate response.Graph the function f(x) = -tan x on the interval . Explain why it is correct to say that f is decreasing on the interval , but it is incorrect to say that f is decreasing on the interval  .

What will be an ideal response?


f is continuous and decreasing on . Since there is an asymptote at x = , f is not continuous on . Therefore, it is not correct to say that f is decreasing on the entire interval  .

Mathematics

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Use the information in the table to answer the question.Which category had the greatest change in 2006?

A. Supplies B. Decorations C. Hospitality D. Telephone

Mathematics

Provide an appropriate response.The altitude (in feet) of a rocket t seconds into flight is given by h = -t3 + 20t2 + 900t + 10, t ? 0. Use Newton's method to approximate when the rocket will hit the ground.

Fill in the blank(s) with the appropriate word(s).

Mathematics

The augmented matrix of a system of equations has been transformed to an equivalent matrix in row-echelon form. If the system is consistent, then give the solution. If it is not, then state that it is inconsistent.

A. (2, 5) B. (5, 2) C. (4, - 2) D. Inconsistent

Mathematics

Provide an appropriate response.Are both  and  natural numbers, integers, or irrational numbers?

A. Integers B. Natural numbers C. Irrational numbers D. None of the above

Mathematics