Given below is the graph of f (x). Choose all the points where the function has a jump discontinuity. 4 -2 -1+ 10 -8 -6 6 10 -4+

Q: Where does the graph of the function x* +x - 6 cross the x-axis? O At x = -6 O At x = -3 and x - 2 O…

A: We use condition if any graph cuts or crosses X-axis then y coordinate becomes 0.

Q: 1. Let X be the graph of f(x) = x2/3 given below

A: Sol

Q: Graph g(x) and –g() -9() from g(x)? on the same axes for the x-interval x E [0, 5]. How did you get

A: we have to get the graph -g((5-x)/2) from g(x)

Q: endpoints

A:

Q: Q3) Let f(x) = x², draw the graph of (x + 2)², what is type of this shifting and what is the value…

A:

Q: Below is the graph of function f(x) with restricted domain x>1. What is the range? -4- -3- -2- 1- 0.…

A: Domain of given graph is x>1 Range of given graph :The curve touches maximum at y=4. It…

Q: Use the graph to determine a. intervals on which the function is increasing, if any. b. intervals on…

A: A function is increasing in a range if the slope of the tangent is Positive. This can also be…

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: Given that, gx=9-x2, -2≤x≤3 The absolute maximum or minimum of any function occurs at its critical…

Q: Use the graph to determine a. intervals on which the function is increasing, if any. b. intervals on…

A:

Q: Find the value of k that makes the following function continuous. Graph the function. x2- k, if x…

A:

Q: Given the graph of f(x) = x² as shown, graph the function f(x + 1). 6. 5. 4. 3. 2. 7 -6 -5 -4 -3 -2…

A:

Q: 4 -4 Correctly identify the end behavior of the graph of f(x). -2

A: From the graph it is easily seen that the function is continuous everywhere on R.

Q: For the function whose graph is shown below, at which value of x is the graph continuous and…

A: Sol

Q: Identify the vertex of the following.f(x) = x2 − 4Use a graphing utility to verify your results.(x,…

A: Important points: 1. To find the vertex, first we will write the given equation in a parabola…

Q: 6. Dharma graphed the parent function f(x) = x and h(x) on the same grid. If h(x) is steeper than…

A: The function f(x)=x represents linear equation. So, the graph of f(x) should be a straight line. If…

Q: What is the domian of f'(x)?

A:

Q: 了 21 1- -2 斗

A: Given: To evaluate: The value of f(f(-4)).

Q: wich is the graph of f(x)=3

A: Given function, f(x)=y=3

Q: Attached

A: Given graph of y = f(x),

Q: Compared with the graph of f(x) the graph of x' 1 g(x) : 1 is shifted 2 units , and x + 2 1 unit

A: Given : Compared with the graph of f(x) = 1x , the graph of g( x) =1x + 2 - 1 is shifted 2 units…

Q: Draw the graph of g(x) = f(x + 3) below. The graph of y = f(x) is shown below. After finishing the…

A:

Q: If the graph of f(x) is given by 1 Then the graph of is

A: Gien a graph of some function f(x), the graph of the reciprocal function i.e. 1f(x) can be obtained…

Q: c. If A(x) = x² In(f(x)), what is the value of A'(2)? What does this result say about the behavior…

A:

Q: Select the choice that is a graph of the function f(z) = - 4- I – 3 (x + 3)(x – 4) 4 -5 2 -3 -5 -2…

A: Given:            x- axis interception points of f(x) : (3,0)    y- axis interception points of f(x)…

Q: 2. Select all of the following graphs which represent y as a function of x. -2- -2 -2 d. e

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

Q: Use the graph of y=f(x) to answer the following. 4- 3+ 10 -1- -2+ -3- Part 1 of 8 (a) Determine f…

A:

Q: Use the graph of f(x) to sketch the graph of g. 2 g(x) =+5 %3D y 10 f(x) = -4 -2 2 4. -5 10

A: Vertically translating a graph is equivalent to shifting the base graph up or down in the…

Q: Which of the following graphs represents the function below? (5, x 4 -2 <x<4

A:

Q: 3. Determine whether the graph belongs to a function, a) b) 团) NA 4. Given the finction f(r) = < a)…

A: A graph belongs to a function if for each x value, there is a unique f(x) = y value. This can be…

Q: True or false: The graph of g(x) = √(x + 4) is the graph of f(x) = √x shifted horizontally to the…

A: we have to tell whether the given statement is true or false. Statement : The graph of g(x) = √(x +…

Q: 13. Use the idea of transfr-mation to sketch the function y = -2f(x+2) + 3 if the graph of y = f(x)…

A: Given: The graph of y=f(x) is

Q: Use the graph of y=f(x) to graph the given function. 4 y = f(x) -3 -2 -2- -3 -4- y=f(-x) 4. 3- 2-

A: Please see the below picture for detailed solution.

Q: The function f, shown below, is comprised of a semi-circle and piecewise linear segments. What is…

A:

Q: (a) Consider the following graph of a function y = f(x): 2 2 3 -2

A:

Q: b. The graph of f(x) = V is horizontally compressed by a factor of then shifted to the left 3 units…

A: I have appended the concept used in the solution part.

Q: The graph below is of a function g(x) with domain (-∞0, 0). 1 1

A:

Q: 1 Graph the function f(x) -1. - 5- 4 -5 -4 -3 -2 -1 3 4 5 -1 -2 -3 -4- -5+ Clear All Draw:

A:

Q: The function f(x) graphed below has a jump discontinuity at 2 1 -1 1 2 4 -1 X- 4 only. O*- -1 only.…

A: Jump discontinuity is when left hand limit is not equal to right hand limit.

Q: Given the graph of y = f(x) below, find the value f(-3). 4 3 2 -8 -7-6 –5 –4 –3 –2-1 1 2 3 4 56 7 8…

A:

Q: True or false: The graph of f(x) = (x + 5)2 + 3 has its vertex at (5, 3)._______

A: For  f(x)=a(x-h)2+k, vertex is (h,k)

Q: 6. Graph the function f(x) = 3*-1

A: The given function is fx=3x-1. Consider some values for x and find the corresponding f(x) values and…

Q: 10) Given the graph of f(x), graph g(x) = -f(x-2)-3

A:

Q: What is the value of h(3)? The piecewise function h(x) is shown on the graph. O-2 O-1 0 1 4 O 2 2

A: Given the graph of a piecewise function

Q: Consider the function f(2) = 1 + 2, |리 < 2 Draw the graph be- Its range is low.

A:

Q: Use the graph to determine a. intervals on which the function is increasing, if any. b. intervals on…

A: We have given a graph and from this graph we have to identify the intervals where the   function is…

Q: The following is a graph of f'(x). At which value of a does f(x) have a maximum? y=f(x) -5 -2

A: The derivative of a function has a great importance in determining the analytical nature of the…

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.