Determine the intervals on which the function fe) = 5x + x - 12 - 2x...
As the value of x increases, determine the intervals of x over
which the value of the function is increasing/decreasing. Express
your answer using interval notation. If no such interval exists,
enter (0,0).
b. Let g(x) = 5x/(x+8)(x-4)
On which intervals of x does the value of the function increase
as the value of x increases?
On which intervals of x does the value of the function decrease
as the value of x increases?
ii. On what interval(s) of z...
(7) For the following function, S(x) = 5x +40x+1 (a) Find the vertex (b)Determine whether there is a maximum or minimum value. Find that value (c) Make a rough sketch of the graph showing the point where the maximum or minimum value lies (d) Find the range (e) Find the intervals on which the function is increasing and the intervals on which the function is decreasing
2. (12) Use sign charts to determine over what intervals the graph of the function g(x)= x - 3x +3 is increasing, decreasing, concave up, and concave down,
2. (12) Use sign charts to determine over what intervals the graph of the function g(x)= x - 3x +3 is increasing, decreasing, concave up, and concave down.
etermine the open intervals on which the function is increasing, decreasing, or constant. (Enter your answers using interval notation. If an answer does not exist, enter DNI Mx)=x²- 2x increasing decreasing constant -2 (1. - 1)
5. Use the graph below to determine: a the intervals on which the function is increasing, if any b. the intervals on which the function is decreasing, if any c the intervals on which the function is constant, if any -4-3-2-11 1 234 -3 Examine the graph below, use possible symmetry to determine whether the graph is the graph of an even function, an odd function, or a function that is neither even nor odd. 6. -1,3) 10.2) (0, 2)...
a,b,c
Use the graph to determine (a) open intervals on which the function is increasing, if any. (b) open intervals on which the function is decreasing, if any. (c) open intervals on which the function is constant, if any. IN 32 2. Tal Select the correct choira helow and if noreccan fill in the new
Consider the following function. f(x) = 5x + 81 - 2 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing decreasing (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)...
12. Determine the intervals on which the function f(x) = 3x5 - 10x3 + 12x - 5 is concave up or concave down and identify any inflection points. Write intervals in interval notation.
2. Find the intervals on which the following function is continuous. tan r B( ) = V4-12 3. Find the derivatives of the following functions (a) f(z)= /5x +1 (b) gla) = (2r -3)(a2 +2) (c) y = In (x + Vx2 - 1) 4. Find the intervals on which the following function is decreasing. f(z) = 36x +3r2 - 2r 5. Evaluate the following integrals. r dr (a) sec2 tan (b) dar 3 (c) da 5x+1 1. Sketch the...