5. f(x) = (x² – 9)2/3 a. Find the domain. Domaini R = (-0,) %3D b. Find the x-intercept(s) and the y-intercept, if any. (x- 9)- 2. y=f(x) =0 > X-intercepts (3,0) 3,0) %3D c. Find any symmetry in the graph.

Q: In (IR, Tu), if A = (3,5) n (Q – N) then A %3D

A: Given that in the topological space ℝ, τu ( the usual topological space )            A=3,5∩ℚ-ℕ Then…

Q: Explain how the graph of f(x) = 2Vx – I + 3 is related to the graph of y = Vx.

A:

Q: . Sketch the graph of y = m(x) in Figure 2. FIGURE 2. Graph of y = m(x) r- 3, rS-1 m(x) = 1< x < 5 2

A:

Q: For problems 19 & 20, let f(x)=2x-3, g(x)=4x-2, and find the following. 19. f(2)+g(3) 20. (f+gXD)…

A:

Q: Q3// Graph and describe y = x² – 4x + 3.

A:

Q: 2(4). The given lines are the main diagonal and the graph of f (x). Graph f (x) if it exists. If…

A: We need to graph the inverse function. Firstly, check whether the function is one-one and the…

Q: b) f(x)=2*² +3. x- intercept: y-intercept: Domain: Range: f(-1) = f(5) =

A: First make graph  .then answer the following questions.

Q: Consider the graph between two curves. Which of the following is the correct set up for the area of…

A: Consider the graph between two curves. To determine the set up of integral  that represents the area…

Q: Consider the following. y = (x − 6)2 + 1 (a) Tell how the graph of  y = x2  is shifted.

A: Please look at the graph below:

Q: Draw the graph of y + 2 = 7(x – 1).

A: Given- y+2=-23x-1 To draw- The graph of the above equation.

Q: Explain the two transformations that occur to the graph of y = Vx to produce the graph of y =-Vx +2.

A: Given:            y=x  to   y=−x+2.

Q: Consider the graph of Cx + Ay = B where A, B, and C are all positive consta (a) Find the coordinates…

A: Given: Cx+Ay=B

Q: Sketch the graph of the equation y − 1 = 3(x + 4)

A: y-1=3(x+4) We need to plot the graph of the equation.

Q: If b is the y-intercept of the graph of y =   ƒ(x), what is the y-intercept of the graph of the…

A: Solution: y-intercept: A y-intercept or vertical intercept is a point where the graph of a function…

Q: ......... c. Draw the graph. f(x) = 2x3 – x4 – 1 %3D

A: Observe that x=1 is a root of the given function. Find some of the values of the function. At x=0,…

Q: 5. Identify and sketch the graph of y = x² + 1 in R³.

A: To identify and Sketch: the curve y=x2+1 in ℝ3.

Q: Sketch the graph of:

A: Given fx=2x+3,x≤1-x+4,x&gt;1

Q: Graph y=3/2 csc(x-π/2)

A: To graph: y=32cscx-π2 Explanation: Let y=acscbx-c+d, thenAmplitude: aPeriod: 2πbPhase Shift…

Q: The graphs of y = a-xand y = a (1/a)x are identical. Why

A: Simplify y=a1ax, using the quotient property of exponent, aman=am-n. To plot the graph of y=a1-x,…

Q: The graph of y = x' is shift right by 2 units, reflected across the x-axis, then shift down by 3…

A:

Q: Where is the graph of R(x) = x3 - 8/x2 - 25above the x-axis?

A: The graph of the equation x3-8x2-25

Q: Sketch the graph of:

A: Given: fx=-x2-6,x≤-4x+5,x&gt;-4 For drawing graph of given function, we will use graphing calculator

Q: What is the egualion of Hhe line over the intereval (5, ] ? What would the exact value of the…

A: Given Points (-5,-3), (-2,4) through which the required line passes.

Q: Sy > x +1 Graph: y < - x + 2

A: We have to graph the following-

Q: 5 4 3 1 -5 -4 -3 -2 1 3 4 -1 -2 -3 -4 -5

A:

Q: Given the graph: ot 구 -10 -R 10 7 Write an equation in the form f(x) = A cos(Bx – C') + D.

A: the given graph is: we have to write the equation of the given graph in the form fx=Acos(Bx-C)+D

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.