The graph of f (in blue) is translated a whole number of units horizontally and vertically to obtain the graph of k (in red). The function fis defined by f(x) =/x. Write down the expression for k (x).

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Given, f(x)=6-xx

Q: For the following functions, find (f-g)(7) (Enter an exact number.) f(x)=2x+7 g(x)=x-6

A: For the following functions, find (f-g) (7) (Enter an exact number.)

Q: Consider the graph of the function f (2) as shown on the coordinate grid. Which correctly describes…

A: Basically the question is based on the transformation of graphs ..

Q: f(x)= (x-2)e

A: the given function is f(x)=x-2e-1x the domain of the function is x>0 or x<0 find the x…

Q: How has the function g(), shown below, been transformed from the parent function, f(x) = x² ? g(x) =…

A: We can translate a graph of f(x) right c units by subtracting c inside the function argument f(x—c).…

Q: compare the graph of f(x) = x to the graph of f(x) = [x] and the graph of f(x) = \xl to the graph of…

A:

Q: (4) Draw the graph of the function f(x) = 2¹. (5) Draw the graph of the function f(x) = 3.

A: Consider the functions 4)     f(x)=2x5)     f(x)=3x

Q: Find the slope of the graph of the function at the given point.

A:

Q: Consider the graph of f(x) given below: 6 f(x>

A: Given,

Q: Find the domain and sketch the graph of the function.   f(x) = |2x+1 |

A: The given modulus function is well defined for all real numbers. Therefore, The domain of given…

Q: Use the graph of f(x) to graph the given function.

A: Given:   Graph is given

Q: Consider the function below. f(x) = √64-x² What is the Domain? What is the Range? Enter your answer…

A: Domain of  64-x2 :We must have 64-x2≥0So,  Solution:  -8≤ x≤ 8  Interval Notation: -8, 8

Q: f = (-0.17) =

A:

Q: Given the function f(x) = x² + Draw a sketch of the graph of f. 16 - X x>0

A: Follow the procedure given below.

Q: Use the graph of the given function f(x) to find x such that f(x) = - 3. 2- ->

A: f(x) implies y in a cartesian plane so the value of y is the value of f(x)

Q: 6. Use the graph of f(x) - to write an equation for the function whose graph is shown.

A: Given data: The given graph of the polynomial. The first point on the graph is (-2,0). The second…

Q: Sketch the graphs of the following functions. (a) f(x) = x2   (b) g(x) = x3    (b) h(x) = √x

A: Graph of fx=x2 We have f-x=-x2=x2 Graph is symmetric about y-axis.

Q: Starting with the graph of f(x)=9x, write the formula for the function that results from: a.…

A: If the graph of f(x) is shifted horizontally by 3 units to the right then that will be the graph of…

Q: For Exercise, use a graphing utility to graph the piecewise-defined function. S2.5x + 2 f(x) = l² -…

A: We will graph the piecewise function as two separate functions:

Q: Draw the graph of the function, f(x)=e^x

A: Givenf(x)=ex

Q: determine where the graph of the function is concave upward and where it is concave downward. g(x)=…

A: Differentiating with respect to x, we get Again differentiating with respect to x, we get

Q: Find the domain and range of the function without graphing f(x) = 2√x

A:

Q: 4. What is the domain and range of the parent function, and what is the domain and range of f (x)?…

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: Determine where the graph of the function is concave upward and concave downward and find all…

A:

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: The parent function f(x)=x3 is related to g. Use function notation to write g in terms of  f.…

A: The parent function f(x)=x3

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

A:

Q: Sketch the graph of the function f(x) = 2x − 1…

A: Given,           The function is fx=2x-1x+1x-3

Q: Find the value of k, if the constant k that makes the function continuous:

A: Given,          f(x)=x2+k2if x≤4kx+12if x>4

Q: The parent function f(x)=x² is related to g. Describe the sequence of transformations from f to g.…

A:

Q: Jx + 2 if x -1

A:

Q: Compare the properties of the graph of f(x)=-(2x+3)+4 to the base function f(x)=2x. 3.) Is there a…

A: Given the graphs and properties of the functions,  f(x) = 2x f(x) = -(2x + 3) + 4 To find the…

Q: What transformations were applied to the parent function, f(x)=x2, to create the new function f(x)…

A: first, we have the function f(x)=x2 we have to apply the transformation of the function f(x) to get…

Q: 6) f(x) = 4 .

A:

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

A: fx=x+2    if x≤-1x2        if x>-1 The domain of given function is the set of all real numbers.

Q: Use the graph of the given function f (x) to findf(1).

A: Given: Parabola graph is given.  Center (h,k) : ( 0 , -3)    Point: ( 1 , -1)

Q: Find the description and graph for the function k (x) = (x + 2)° – 3

A: Given: If the function x3 shifted 2 units left and shifted down by 3 units, we get the function…

Q: For the function f(x) whose graph is shown, what is the value of f(4)?

A:

Q: Use the graph to find the indicated value of the function. ..... f(4) =

A: Using graph ,

Q: Find the domain and range respectively for function 1+x2

A: The given function 1+x2

Q: Use the functions below to find the given value f(x) = ±x - ( - 3 g(x) = x3

A:

Q: Consider the graph of the functions f(x)=(x−5)² and g(x)=−3x+13. What are the points at which…

A:

Q: Use functions f(x) = x2 - 9 and g(x)= -x +9 to answer the questions below.

A: According to the guidelines we have to solve only first three subparts.  Kindly repost other…

Q: Simplify f(x). x2 + x - 20 f(x) x + 5 f(x) = x – 4 х — for x +-2 Sketch the graph of f.

A:

Q: Use the graph of f (x) shown to find the graph of f '(x).

A: Let f(x) be a function plotted on x y axis, then f'(x) is the slope of the graph. The graph of the…

Q: Given the functions - and g) -x-x determine the range of the combined function,

A: Domain : The set of value where function is defined. Range : The set of value of the function on…

Q: The parent function f(x)=x³ is related to g. Use function notation to write g in terms of f. g(x)=…

A: Given two functions, f(x)=x3 & g(x)=(x-1)3+1 We need to write g(x) in terms of f(x).

Q: What are the features of the function f(x) 1 graphed below?

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.