Define g to be the function 2x2 – 5x – 3 if x + 3 g(x) = - 3 х — if x = 3 Sketch a graph of g. Determine any values where g is discontinuous and explain why.

Q: Given the ordered pair (3, 0). Perform the transformations described in the function below: 글f(z +6)…

A: Given order pair (3,0) That means f(3) =0    And the transformation of function 18f(x+6)+2

Q: Use the graph of f and g to find the following: f(-2)+g(-1) f(g(-3)) f(2)+g(0) g(f(0))

A: Find the values of f(-2)+g(-1), f(g(-3)), f(2)+g(0), and g(f(0)).

Q: Find the domain of the function using the interval notation.

A: Given,          fx=x-6x-4

Q: Find the x-intercept(s) of the following function. f(x)=x² - 4x +3 Give your answer as ordered pairs…

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Q: Sketch the graph of the function

A: given,          y=5ex2+5

Q: Graph the given functions,f(x) = x2, g(x) = x2 + 1,in the same rectangular coordinate system. Select…

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Q: (x(x+1), if x S-2 f (x) ={ 4x +5, if -2< x<1 - 2x +3, if x 2 1

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Q: 2. State the domain and range of each function. a) y = 2(x – 3)² + 1 b) y* x + 5

A: Domain of a function is the all possible input for the function where the function is defined. Range…

Q: (a) y = (1-2x²)³ (b) h(t) = 2t+3) 3 6-t²

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Q: Use the given graph of f to select the graph for the following function. y= {2x) 6 4 + (-4, 2) 2 +…

A: Given : graph of f(x)  To find the graph of y = f(2x)

Q: Find an expression for the function f(x) whose graph is a line passing through the points (4, 5) and…

A: Find the slope of the line. Start with the slope formula.

Q: If the point (2,8) is on the graph of a one-to-one function f(x), find the value of f(2)+f−1(8).

A: We need to find value of function.

Q: 2. Sketch the graph of following functions -1 a) y = x(x-5) b) y -3 (x+3)² +++++

A: The given functions, a) y=-1xx-5 b) y=-3x+32. We have to sketch the graph of the functions.

Q: fy=2+x+5

A: We are assuming that you require the solution of part f.The graph of the function is attached below.

Q: Enter the letter of the graphed function. a.y=(x + 2)(x - 1)(x-3) b.y = (x + 2)(x - 1)(x - 3)² c. y…

A: Topic = Functions Correct option = d

Q: (x(x+1), if x -2 f(x) ={ 4x+5, if -2くxく1 - 2x +3, if x 21

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Q: - Determine the coordinates of the vertex of f(x) = -2x². - - (5, 35) .(-5, –15) .(-5, –40) 1. (-5,…

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Q: 6. Indicate verbally how the graph of each function relates to the graph of one of the six basic…

A: Definitions:

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.