3. For the following functions, sketch the general shape of each: a. f(x) = -x - 3x + 2x+ 1 b. g(x) = x + 1

Q: Find the value f(a+h) for the function f(x)=9

A: Here is given function is f(x)=9 Here is f(x) is constant function

Q: Starting with the graph of f(x)=7x, write the formula for the function that results from (a)…

A: The given function is fx=7x. a)  Write the formula for the function that results from shifting fx 5…

Q: Determine where the graph of the function is concave upward and where it is concave downward.…

A:

Q: Consider the following function: -4x – 7 f(x) : x +5 Step 1 of 2: At what x-value is the function…

A: The given function is fx=-4x-7x+5. Rational functions are continuous everywhere except when the…

Q: Let us try to find where a function is increasing or decreasing given the following.  f(x) = x3−4x,…

A: Topic:- calculus

Q: Evaluate the function at the indicated values.

A: The given function is fx=x3+2x

Q: Use the given graph of the function to find the x-values for which f is not differentiable.

A: Using graph to find the x-values where function is not differentiable

Q: Find the domain and range of the function f(x) = −∣x + 1∣

A:

Q: 1. Differentiate the following functions: a) f(x) = 43x²

A: We have to differentiate of the given function

Q: 3. Find the domain for the following functions: - 1+x 1- f(x) = . 2- y = |x| -4x

A: To find the domain of the given functions

Q: Find the domain and sketch the graph of the function.

A:

Q: 1. For the function f (x) = x+1, evaluate the following : x2+3 a. f(x?+ 3) b. f(a - 1) b

A:

Q: Find an equation for f(x) using the secant function. (x) f(x) 10 x 3 -2 n 2) 2. 4. 6.

A: we will find the equation of fx using secant function. Let a function: fx=asecx By using graph we…

Q: Starting with the graph of f(x) = 4, write the formula for the function that results from (a)…

A: Given: The function is, f(x)=4x. Objective: Shifting fx 1 unit downward. Shifting fx 5 units to…

Q: Determine f '(x) for the following functions

A: Given, g. fx = xln2x3  h. fx = cos2x2+4   We have to find f'x

Q: What type of discontinuity does the function f(x)=xsecx have?

A:

Q: Iff is a one-to-one function with f(9) = 3 and f'(9) = 2, find the equation of the line tangent to y…

A:

Q: Consider the following function: 6x + 9 f(x) = x+ 8 Step 1 of 2: At what x-value is the function…

A:

Q: f(x) = x* + 4x° + 3x +1

A: A curve f(x) is said to be concave upward if f''x>0 and concave downward if f''x<0. The given…

Q: For the following​ function, make a rough sketch of the graph that shows the behavior at the​…

A: Given fx=-34x-12x+13

Q: Differentiate the following function using the 4-step method, indicate each step and explain it,…

A: Given:    f(x) = √(x2+3)   Solve using 4-step method

Q: Determine f (x- 1) for the following function.

A:

Q: Find the value of the constant bl that makes the following function continuous on (-00, 00). if x 6…

A: The given function is fx=2x-6if x≤6-3x+bif x>6. it is given that, the given function is…

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

A: Topic-function

Q: Explain why the function is discontinuous at the given number a. f(x) = {* 2* x + 3 _ifx -1 a = -1

A: For continuity left hand limit and right hand limit should be same if not then function will be…

Q: Which of the following describes the end behavior of the function f(x)=√x −4 on the right?

A:

Q: Determine f (x-1) for the following function. f(x) 3 Vx-4+8

A:

Q: 3. For the following piecewise function, sketch a graph, determine whether the function is…

A:

Q: Explain why the function is discontinuous at x = 1. f(x) = (3 Зх for x 1

A: We have to find the left and right-hand limit of f(x) at x=1 So the right and left hand limits are…

Q: Identify the parent function of f(x) = (x + 3)°.

A: Given function is f(x)=(x+3)3 Parent function of the given function.

Q: Graph the function. f(x) =. * for x<0 x+3, for x20 Choose the correct graph below. OA. OB. OC. OD.

A: Given, fx= 18x      for  x &lt;0x+3   for   x ≥ 0  We have to graph the function.

Q: Starting with the graph of f(x) = 6ª, write the formula for the function that results |3D from (a)…

A:

Q: Q1:- Find the domain of the following functions: a) f(x) = |x|+

A: See the attachment

Q: Which of the following describes a true relationship between the functions f(x) = (x- 3)2 +2 and…

A: We have the following graph

Q: For what values of x is the function f(x) = x* - 2x? strictly increasing?

A: fx=x4-2x2 Differentiating with respect to x, we get f'x=4x3-22x=4x3-4x

Q: For the function whose graph is shown, list the following quantities in increasing order, from…

A:

Q: Explain why the function h is discontinuous at a = -2. 1 x = -2 h(x) = x + 2 1 x = -2

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: 4. If f(x) = ax' +bx', determine a and b so that the graph of f will have a point of inflection at…

A: we need to determine the values of a and b.

Q: Find  f −1(x)  for the function. f(x) = 8 − x f −1(x) =

A: Given the

Q: Consider the following. x² - 1, f(x) 5x + 1, x > 0 Sketch the graph of the function. 10H

A: Use online graphing calculator and sketch the graph of the function as follows. From the above…

Q: Starting with the graph of f(x) = 5", write the formula for the function that results from %3D (a)…

A:

Q: For the function f(x) =-, complete the table below: f(x+h)- f(x) xh 2. 4.

A:

Q: (c) Explain why the following function is discontinuous at x = 1. (x² f (x) = if x + 1 х2 — 1 - 1 if…

A:

Q: 9. For the following piecewise function, find f(-4). [2x+1 f(x)=1-2x+3 if x21 if x<1

A:

Q: Consider the following functions. f(x) = x and g(x) = x2 – 10 Step 4 of 4; Find -(-2).

A:

Q: For the following functions find f(-2), f(-1), f(0), and f(1) f(x)=x3

A: Given that - Function,f(x)=x3   .....(1) Now find out- f(-2), f(-1), f(0), f(1) =?

Q: Find the domain and range of the function.

A:

Q: Given the function f(x) = - (x+4)3, which of the following statement talks about its relative and…

A:

Q: Find  f −1(x)  for the function. f(x) = x/x+6 f −1(x) =

A:

Q: Starting with the graph of f(x) = 52, write the formula for the function that results from (a)…

A: Shifting of graph problem

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: