7. R = f(x) = (x – 2)² D = {-4, 0, 4}

Q: Find the point P on the graph of the function y = x closest to the point (2, 0) The x coordinate of…

A:

Q: Find the domain and range for the following function; y = -V1 - x2

A: Explanation Given that,  y=-1-x2     Concept Used: Domain: Domain is the set of all real numbers…

Q: Find the local extreme values of the function: f(x,y)=xy-x^2-y^2-3x-3y+12.

A: It is given that, fx,y=xy-x2-y2-3x-3y+12We have to find the local extreme values.

Q: increasing and decreasing. 5) f(x) = -x² +4 fx) -4 위

A: Given :  f (x) = - x 2 + 4    To determine : The intervals on which f (x) is increasing or…

Q: 1 Find the range of the function y =x+ 3 when the domain is: a (-1, 0, 1, 2} b {x: -1 Sx S 2} c R

A:

Q: Given a function f(x,y,z) = 2x2 In (6y + 3z). Find the range of the function.

A:

Q: t(x, y) x² + y?

A:

Q: Q:4 Find the domain, codomain and range of the function f(x) = (2³).

A: Given: The given function is: fx=x5 And provided graph is:

Q: -Which of the functions below has a range of y<-2?

A: Idea: Construct the line y = -2. If the graph remains below the line y = -2 then the function have…

Q: Q6: Find the local extreme values of the function: f(x, y) = x2 + y² – 6y + 5

A:

Q: The range of function y=(x² – 1) is

A: on solving this we get the

Q: Determine the range of the following functions. Express your answers using interval notation y =…

A: The graph of y=3x2, -2≤x≤2 is shown below:

Q: For the piecewise linear function, complete the fol if x s 5 f(x) = 39 - x if x > 5 %3D (a) Draw its…

A: Here we have to graph a piecewise linear function.  Given:- f(x)=x if x≤59-x if x&gt;5

Q: which shows the function f(x)=7x after a vertical translation down 4 units

A:

Q: S(9) = r* +x' - 4x. f(x):

A: Given : fx = 14x4+x3-4x

Q: 5. a) Find the slope and intercepts and then sketch the graph of the given function. 4 f (x) = --x +…

A: Given,           fx=-43x+4To find :  The slope and intercepts and then sketch the graph of the given…

Q: For what x-value(s) is this function not differentiable? x² – 9 f(x) x + 3

A:

Q: Q1) Find the local extreme values of the function f(x, y) = 3y2 - 2y3 – 3 x? + 6xy

A:

Q: Q1) Find the local extreme values of the function f(x, y) = 3y2 - 2y - 3 x + 6xy

A: We use second order partial derivative to find maximum, minimum and saddle points

Q: 3) What is the range of the function y = -/x + 5? A) {y]y2 -5} B) {y]y> 0} C) {y]ys -5} D) {y]ys 0}

A:

Q: use the given graph of y = f(x) to find the intervals where f'(x) > 0, the intervals where f'(x) < 0…

A: Recall the fact that the function is increasing on the interval when f'x&gt;0 and is decreasing on…

Q: Find the domain and range of f(x,y) = e* + /y + 2

A: We can find the answer given below

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: Consider the given function,First find the derivative of the given function,

Q: Use the graph of y = f(x) to graph the function g(x) = 2f(x). %3D y = f(x) Ay 4- 2- -6 -4 -2 2 -4…

A:

Q: Q3) A) Find the Range and the Domain (for two only). 1. у %3 x+1 1 2. y = 3. у %3D х2 +1 %3D Vx

A: A function's domain is set of points such that the function is defined on those set of points. To be…

Q: Determine the range of the following functions. Express your answers using interval notation. y =…

A: Topic-function

Q: Find the domain and range of the function f(x,y) = √√y − 4 + x2

A: Given: Domain: We must have y-4&gt;=0 and x to be not equal to 0. So,          Domain = -∞, 0∪0,…

Q: Find the domain of the function:f(t) =∛(t + 4)

A: Given function is: ft=t+43 We have to find the domain of f(t).

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=x3−4x2+5x.…

A: The slope of the secant line between x = −1 and x = 2 on the graph of the function f(x) = x3 − 4x2 +…

Q: For the function f(x, y) = /(x – 1)² + y² +1 a) Categorize the domain and range for function f(x, y)

A: Given,  f(x,y)=(x-1)2+y2+1

Q: Y 1 +D

A:

Q: 4. Find the domain and the range for the following functions. Then, sketch its graph. (a) :=+/8-x² -…

A:

Q: What is the range of the function y=f(x) =2sin 57 A [-3,7] B B [-7,-3] В © [-7,3] D D [3,7]

A: We have to find range of give function.

Q: Find the domain and range of the following functions.

A:

Q: Q5: Find the max and min points for the function: F(x,y) = x2+xy2-4x+1

A:

Q: 1. Find the domain and the range of each of the following functions. (a) Vr - y2, (b) e2+y + 1.

A:

Q: A) Find the Range and the Domain 1 1. y = x+1 2. y = J %3D 3. y x2 +1

A: 1. y=1x+1; the denominator can't be zero.so we can have all real values for x as domain except…

Q: Find the range of the function y =1+ x2

A: Introduction :

Q: How much revenue does the company get from a customer who uses exactly 30 therms of gas in a month?…

A:

Q: Find the slope of the secant line between x = -1 and x = 2 on the graph of the function f(x) = 5x° –…

A: Given function is f(x)=5x3-5x2+2x+3

Q: Find the local extreme values of the function: f(x,y) = x² + y? - 6y + 5

A: We need to find the local extreme values of the function f(x, y)=x2+y2-6y+5. Here,      ∂f∂x=2x…

Q: Q1/ Find the local extreme value of the function F(x.y)=4xy – x* – y*

A:

Q: Consider the function defined by f(x,y) = 4x² + y? (a) Find the domain and range of f.

A: Given function: fx,y=4x2+y2To find: Domain and range of f.

Q: Find the domain and range of the function. - 4 g(z) = Vz+1

A: Domain is the possible range of values where is the function is defined and range is set of values…

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0, 2)

A: Given: f(x)=x2 ,        0,2

Q: 4 Sketch the graph of the following functions, within the specified domains and hence determine…

A: The graphs of the given functions are sketched and their ranges are determined as shown below.

Q: 5. Use the following graph of the function y = f(x) to find (a) f(-4) = (b) f(-2) = (c) f(0) = (a)…

A: To get value of f(x) take point on graph of f(x) corresponding to x then from this point on graph…

Q: Find the slope of the secant line between x = -2 and x = 3 on the graph of the function f(x) = -2x2…

A:

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x², (0, 7)…

A: Consider the provided function and the point, fx=x2,  0,7 Find the points on the graph of the…