3. Consider the following function: f(x) = 3x + 9x, + 2x2 - X1X2 + 4 | (a) Determine whether the function f is convex, concave, or neither. (b) max, global min, or none of these? Explain your answer. Suppose x* is a stationary point of the function f. Is it a local max, local min, global

Q: (1-4x, if x -2 f (x) = { 1+4x, if x >-2

A: Given : piecewise function. To find: f(-3) =  f(-2) =  f(1) =

Q: Consider the function: = f(x) 7x3+7x² + x Step 2 of 2: Evaluateƒ"(-8), ƒ" (-2), and f" (-6), if they…

A: Step 1:To evaluate the second derivative f′′(x) of the function f(x)=7x3+7x2+x, we need to follow…

Q: 8) f(x)= x³ + x²; Find f(-6) 3120 - x; Find w(-4) 10) w(x)=-3x²- (2--2-2; Find 12) h(x) = 4x + 3;…

A: We can evaluate each of the function in the below steps.

Q: What is a piecewise function?

A:

Q: (2-3x -15xS1 (x)={x-2 nsider the piecewise linear function given by the formula f (x) =< Determine…

A: To find the solution of the given equations

Q: The graph of a function fis formed by vertically stretching the graph of y = √x by a factor of 2,…

A: WSe have to apply the given transformation on the graph

Q: Assume that the number N of concert tickets which can be sold at a price of P dollars per ticket is…

A: Given The number N of concert tickets which can be sold at a price of P dollars per ticket is a…

Q: Determine the domain of the function. G(u) = 1/ (u2 -4)

A: Consider the given function. Gu=1u2-4 To find the domain, put the denominator equal to zero.…

Q: Which of the following series is divergent? ° 3n² 1+n² n=0 O n=0 n=0 8 4 n2n n=1 None of the given…

A: Solution :- Check each series for divergent :- 1. ∑n=0∞ 3n21+n2Apply the constant multiplication…

Q: x, if -1くx<

A:

Q: determine which statement is true (A) Not a function (B) Function; domain: R (C) Function;…

A: Graph÷

Q: 4 m 8 9 10 11 12 + -12-11-10-9/-8-7-6-5 -31-2-1 Give the equation for the function whose graph…

A: The graph of function f(x) is given,The aim is to write the equation of the function f(x).

Q: A store has determined that the number of Blu-ray movies sold monthly is approximately n(x) =…

A: It is provided that n(x)=67500.928x. We need to determine the revenue function, profit function. We…

Q: B. INSTRUCTION: Graph the following piece-wise function 1. r(x) = (x - 1, - Isıs, x< - 1

A: 1) f(x) = x -1      x-1 =0,      x=1

Q: The average water level in a retention pond is 6.8 ft. During a time of drought, the water level…

A: We will solve the following.

Q: Y 1 +D

A:

Q: Determine whether the function has a concave up and/or concave down. f(x)=x/5+x^2

A:

Q: Which of the following values of x would not be in the domain of the function defined by f(x)=*-?…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: