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Consider the following function. f(x) = {16 − x2, x ≤ 0 −5x, x > 0 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) x = (b) Find the open intervals on which the function is increasing or decreasing. Increasing: (−∞, 0) (−∞, 16) (0, ∞) (16, ∞) Decreasing: (−∞, 0) (−∞, 16) (0, ∞) (16, ∞) (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = ( ) relative minimum (x, y) = ( ) (d) Use a graphing utility to confirm your results.

Consider the following function. f(x) = {16 − x2, x ≤ 0 −5x, x > 0 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) x = (b) Find the open intervals on which the function is increasing or decreasing. Increasing: (−∞, 0) (−∞, 16) (0, ∞) (16, ∞) Decreasing: (−∞, 0) (−∞, 16) (0, ∞) (16, ∞) (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = ( ) relative minimum (x, y) = ( ) (d) Use a graphing utility to confirm your results.Consider the following function. f(x) = {16 − x2, x ≤ 0 −5x, x > 0 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) x = (b) Find the open intervals on which the function is increasing or decreasing. Increasing: (−∞, 0) (−∞, 16) (0, ∞) (16, ∞) Decreasing: (−∞, 0) (−∞, 16) (0, ∞) (16, ∞) (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = ( ) relative minimum (x, y) = ( ) (d) Use a graphing utility to confirm your results.

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Consider the following function.
f ( x ) = { 16 − x 2 , x ≤ 0 − 5 x , x > 0
(a) Find the critical numbers of f . (Enter your answers as a comma-separated list.) x = ◻ (b) Find the open intervals on which the function is increasing or decreasing.
Increasing: ( − ∞ , 0 ) ( − ∞ , 16 ) ( 0 , ∞ ) ( 16 , ∞ )
Decreasing: ( − ∞ , 0 ) ( − ∞ , 16 ) ( 0 , ∞ ) ( 16 , ∞ )
(c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum ( x , y ) = ( ◻ ) relative minimum ( x , y ) = ( ◻ ) (d) Use a graphing utility to confirm your results.

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