53) Use the graph of y = 3* to graph the function. Write the domain and range in interval notation. f(x) = 3*+ 5 + 2

Q: w, find the value of g(f(-2)).

A: Initially find f(-2) then find g(f(-2)), using value of f(-2).

Q: The graph of f(x)=-x -5x+6 has the point (2, -6) on it. O True O False

A: We can check the answer is true or false as below

Q: Write the domain and range of h using interval notation.

A: As from the graph    The domain is the value of x for which graph is given…

Q: Based on the graph, find the range of y = f(x). 1 if x * 0 f(x) = -7 if x = 0 -10 -5 (0,-7) -10 A)…

A: NOTE: Refresh your page if you can't see any equations. . the given graph is

Q: Describe the concavity of the graph of f(x)=(x-2)5/3 And find the inflection points(if any)

A: See the attachment

Q: if x 0

A: Topic : Functions

Q: 5. Use the equation to classify the function as odd, even, or neither. g(x) = 4x3- x %3D

A:

Q: What is the value of k in the function f(x)=112-kx if f(-3)=121

A: Put x= -3 in given function and solve for k,

Q: Use interval notation to describe the domain and range of the functions graphed below: 3. 4.

A:

Q: find the domain of the function f(x)=-3x2+2x-3 write in interval notation

A: Solution of the problem as follows

Q: snip

A: Given function is fx=-x2+4x+5. Vertex form of a quadratic equation is given as: fx=ax-h2+k, where…

Q: Draw the graph of f(x)=3x+5  Give the domain of f(x)=3x+5    Give the range of f(x)=3x+5

A:

Q: 23. List the sequence of steps required to graph the function f (x) = -(x - 4)2 – 6 %3D

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 16. What is the range of the function f(x) = 9 + 6x for the domain {-2, 0, 2, 4}?

A:

Q: -6 9. 4- -6-

A: First, from graph we will find values of f(2) and g(2) and then we will find (f+g)(2) as shown below

Q: 2. Express your answer using set notation. Find the domain and range of f (x) = L+x

A: Given, f(x)= 2/(x+7)

Q: 4. Sketch a graph of f(x) = x2 + 2x-3 and use the graph to solve: x2 + 2x-3 <0. Write your answer in…

A:

Q: 8. True or False The graph of f(x) = 2x² + 3x – 4 opens up.

A: The quadratic function, fx=ax2+bx+c If a &lt; 0 then the graph of f(x) is open down and if a &gt; 0…

Q: Which transformation is used to obtain the graph of f(x)= -2X from grape of f(x) = 22?

A:

Q: Write the domain of the function in interval notation f(x)= 3squareroot x-12

A: Important: The value 'in the root' is always positive.

Q: Find the interval notation of the domain

A:

Q: Find and sketch the graph for x=3

A: Solution: The objective is to graph the given line

Q: x9 + 7X -3 %3D anction f(x):

A: Explanation of the solution is given below...

Q: Write the domain in interval notation. x-3 (a) f(x) x-4 x- 3 (b) g (x) : x¯-4 x- 3 (c) h (x) = 2…

A: Domain is defined as the set of values of x for which the function is defined.

Q: Write the domain and range of the function in interval notation. q(x) = 2x2 - 12x + 2 Select one:

A: Given:     qx= 2x2-12x+2

Q: In the function:  f(x)= (9x^2)/ ((x^2)-49) Indicate the domain and range in interval notation.  What…

A: Denominator of the function can not be equal to 0.

Q: Sketch the graph of f(x) = x2 − 4x + 3. Identify the vertex and x-intercepts.

A: Use a graphing utility to sketch the graph of f(x)=x2-4x+3. Since the function is of second order;…

Q: Use the graph of f (x) to identify the graph of f(x). 10 -2 4 -6 10f

A: Option 1 is correct Explanation is given below...

Q: Without using the graph, determine all inflection points of a + x².

A: For inflection point , set f''(x)=0.

Q: 6+ Write the domain of the function using interval notation.

A: Domain:- All possible value of x

Q: Find the domain of the function in interval notation  g(x)= x/ x^2-49

A: We need to find out the domain of the function given.

Q: Use a graphing calculator to find the intervals on which the function is increasing or decreasing…

A:

Q: Sketch the graph of f.

A: Consider the given function. fx=x-2x2-x-6 Find, the factor of the denominator.…

Q: Use a graph to find the range of the function f(x)=x2-9, on the domain -3≤x≤4.

A: Substitute the different values of x in f (x) = x^2-9 as shown below in Table 1.

Q: Draw the graph of f(x) = 5*-2

A: We need to draw the graph of the following function fx = 5x-2

Q: What are the x-intercepts on the graph of f.

A: The x intercepts are the points where the output of the function or y becomes 0. In the give curve,…

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: Concept: Concavity: if f''(x)&gt;0 ∀ x∈R implies that f(x) is concave upward  And if f''(x)&lt;0 ∀…

Q: For what values of x is the function f(x) = |x2 − 9| differentiable? (Enter your answer using…

A:

Q: Answer 22. 2x2 - 5x – 3 if æ # 3 f (x) = x - 3 a = 3 if x = 3

A:

Q: Graph the function f(θ)=7sin(θ).

A: To graph the given function

Q: 3. Determine the domain and range of the function y = 2cosx

A:

Q: find the natural domain and graph the function   f(x)=square root (-x+5)

A: Consider the function fx=-x+5 The function fx is defined when -x+5≥0⇒x≤5⇒x∈(-∞ , 5] Hence, the…

Q: Graph the function g (x) = 2** and give its domain and range using interval notation. 4- Domain: […

A: Explanation of the answer is as follows

Q: t) Find the domain of the function 6. f(x): x² – 7x write your answer in interval notation. Domain:

A:

Q: Determine the domain of f(x). Give your answer using interval notation 4 if -1 xs 6 x2 12x27 4х + 5…

A: Consider the given function.It is known that the domain of the function is the set of all inputs for…

Q: Which pair of statements describes the end behavior of the graph of the function f(x)= x3 + 2x2²…

A: First draw the curve , it is a cubic curve for large values of positive x, f(x) will be very large.…

Q: Which statement below describes the relationship between the graphs of f(x)= Inx + 2 and g(x) =…

A: Given,      f(x)= ln(x)+2      and     g(x) = 2ln(x)

Q: True or False The y-coordinate of the vertex of f(x) = - x2 + 4x + 5 is f(2).

A: Given function is fx=-x2+4x+5fx=-x2-4x-5fx=-x2-4x+4-9fx=-x2-4x+4+9fx=-x-22+9

Q: Give the range of the function in interval notation. F (x) =-3(x+4)2 -5

A: The given function is, F(x) =-3(x+4)2 -5 The graph of F(x) is as shown below :

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.