1. Graph a function f(x), with the following properties. Label the y-intercept and all zeros and turning points. f(x)20 when x e[- 5,- 1], [3, ) • f(x) < 0 when x e(- 0,- 5), (-1,3) • f(x) is increasing when x e(- 0o,- 3), (1, 0) • f(x) is decreasing when x e(-3, 1) • Pick your own "a" value. x-intercepts: Turning Points at: Sign Diagram (or number line):

Q: 2. Select the graphs that indicate that y is a function of x. А. В. TY 3+ A. • 3- C 2. 2- 1-0 1+ -3…

A: We have to check that which graph shows that y is a  function of x .

Q: 2. The domain of the function y = 2159/ (k+1- x^2)^(0.5) where keR and k> -1, is: a) - (k+1)^0.5 s x…

A:

Q: EXAMPLE 3.1.1 Find the equation of the tangent line to the graph of f() = x² at z = 2 . Solution m =…

A: We have to find the equation of tangent.

Q: -. The graph of f(0) = 0+2sin 6, for 0 <0< 2n, has a relative maximum at...

A:

Q: 3. With general positive values of V and K, compute and simplify R'(s) and use this to confirm the…

A: we have been given the function R(s)=VsK+s where V=10μM and K=5μM

Q: 24: Find the extreme points of the function f(x) = x + y ху On the circle x+y=2

A: We shall find out extreme points of the function in the next using the a equation of circle.

Q: 3. The cost C of manufacturing transformers in a factory varies with the output N per day according…

A: minimum cost

Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in…

A:

Q: f(x) = (x +2)²(x – 1) f'(x) = 3x(x+2) f"(x) = 6x +6 %3D

A:

Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings​ (in…

A: given S'x=150-x2C'x=x2+114x where S'x is the rate of annual saving and C'x is the rate of annual…

Q: Look at the given graph of the function V(x) from question 1 above. 150- -140+ -10- -120 -110 -100-…

A: By observing the graph ;

Q: Show that f(x) = ln xn /x is a decreasing function for x &gt; e and n &gt; 0.

A: Given function is, But, Hence,

Q: 10) Use the graph of y = f (x) shown below to describe the concavity in the graph of y = f (x) on…

A: Given information: The graph and the concavity in the interval [0,4]

Q: Find the global maximum and minimum for the function on the closed interval. x + 1 f(x) - 1<x< 2 x²…

A: We have to find global maximum and minimum.

Q: (3 +x if x < -1 if -1 sx< 1. (2 - x if x 2 1 Let f(x) = {x2 Sketch the graph of f. y y 3 -3 -2 -1 1…

A:

Q: If n is positive and even, where is the graph of f(x) = xn increasing and where is it decreasing?

A: For f(x)= xn  where n is positive and even. for these type of function the general graph is given…

Q: Find the absolute minimum and absolute maximum of the function f(1) = e*+21 on the closed interval…

A:

Q: a. What are the net total savings during the first year of use of the​ machine? b. What are the net…

A:

Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings​ (in…

A: Given that

Q: 18. Find the coordinates of the absolute maximum and absolute minimum value of the function…

A:

Q: Which statement is true about the graph of f(x) = |x| + 43 at the point (0, 43)? ) A. The graph has…

A: D option is the correct option. to make this question easier will look at the graph of this function…

Q: 1. Come up with the equation of any function f (x, y) satisfying fx = x + y and fy = x + 3y³

A: The objective is to find the function f(x,y) satisfying fx=x+y and fy=x+3y3 Now take, fx=x+y Now…

Q: The total number of local maximum and minimum points of the function whose derivative, for all x, is…

A: 1st derivative of function is f'(X) =x(x-3)^2(x+1)^4 For critical point we must have f'(X)=0 Hence…

Q: -4 Find the linearization L(x) of the function at a. 3. f(x) = /x, a = 4

A: fx=x=x12 f'x=12x12-1=12x-12   At a=4,  f4=412=2 f'4=124-12=1212=14

Q: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].(a) Over what interval is…

A: Given: Suppose that the function y = f(x) is decreasing on the interval [ - 2, 7].

Q: 3. If y = 2 x –-1, find the length of the graph of f from point z = 0 to z = 1.

A:

Q: Find the extreme values of the function f(x; y) = x2 + y2 + xy on the curve x2 + 2y2 = 1.

A:

Q: 5. Create a graph of the function: t -1 %3D x+2 Ay

A: Given:         Equation is y=-1x+2below graph is plotted using online tool

Q: 5. Find the maximum and minimum values of the function f(x) = x e-2a on the interval [0, 1].

A:

Q: 1. Use the graph below to state the absolute and local maximum and minimum values of the function. y…

A: Explained below

Q: 7. What is the equation of the asymptote for the function f(x) = 3(2x+³) + 2 a) y = -5 b) y = 3 c) y…

A:

Q: 1. y - x+ 4x - 5 S) - x - 3x 3. sC) - x'+ x- 4x'+ 3 4. Sketch the graph and find the relative…

A: Solution of the problem as follows

Q: 12. The graph on the right is NOT differentiable at x = 1. For what reason is it not differentiable?

A: Yes, given graph is correct.Given function:f(x) = x-1f(x) = -x+1        x&lt;1x-1           x≥1

Q: We found that the marketing research department for the company that manufactures and sells memory…

A: (A) Graph of revenue function R(x)=x(90-4x)=90x-4x2 will be So, (A) is correct answer.

Q: (c) Sketch the graph of a function that has a local maximum at 3 and is not continuous at 3. y 3 2 2…

A: For the graph to have a  local maximum at x=3 , and also it should be discontinuous at x= 3. The…

Q: 2. Let g(x) | f(t)dt, where f is the function whose graph is given as below and r is in [0,6]. -1…

A:

Q: x2 – 16 This Graph of f(x) = %3D x – 4 4, but the function is undefined at x = limit as x → 4…

A: Given function is fx=x2-16x-4. We know that a rational function is defined if it's denominator is…

Q: Find the level curve of the function at c=2 for g(x,y)=(x^3-y)

A: A scalar function g(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: 4. The function f(x, y)= (x² +2y² )exp| . +8xy is homogenous in x and y of degree 5 The function…

A:

Q: Consider the graph of the function f(x) = 2 x^(5/3) - 5 x^(4/3), the relative minimum is located at…

A: Note :- A relative minimum of a function is all the points x, in the domain of the function, such…

Q: Use the following information to graph y=f(x) 1) f is increasing at (-∞, -2) and (0, ∞) f is…

A:

Q: Sketch the graph of y = (x – 3)*(x + 1)³(x - 1) by finding its intercepts and its limits as x → o…

A: topic - functions

Q: For what values of a and b does f(x) = a(x- bln a) have a local minimum at the point (2, 5)? Figure…

A:

Q: х — 2 Consider the function f(x) = x - 4 Use the graphing utitlity to graph f. (x- 2) (x - 4) f(x) =…

A:

Q: Graph the function for the glven domaln. y = 2x D-2,0,2, 4 20 16 12 -8 -12 -16 -20 -n 4. -2 -1 0 1 2…

A:

Q: Find the global maximum and minimum of the function f(x)=√3−2x on the interval [−3,1).

A:

Q: The population of the United States can be modeled by the function p(x) = 80.21e131x where x is the…

A: We have to graph P(x) and predict population in given years.   According to our guidelines we can…