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: A function is defined by z = x2y - xy2. Identify the independent and dependent variables.

A: Given function is

Q: Shift the function f(x) = x² + 2x + 1 two steps rightward and one step upward. Graph the original…

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Q: Determine whether the equation xy - 5y = 1 defines y as a function of x.

A: Here we determine whether the equation xy-5y=1 defined y as a function of x.

Q: x²y" + 3ry – 24y = 0, y(1) = -8, y'(1) = –7. y =

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Q: 5- -4 -5 -4 -2 -3 -5 -5 0 -5 -4 -3 -2 2. ent

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Q: Check the function y=x²+1 whether have a symmetry about x or y axis

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Q: IDENTIFYING FUNCTIONS 1. Which table does NOT represent y as a function of x? C y y -4 -3 0. -3 -3 2…

A: Given:

Q: Which of the functions has the y-axis as the line of symmetry?

A: Generally we check three kinds of symmetries for the graphs. Symmetry about X axis Symmetry about Y…

Q: Construct the graph of the following function Y = x3 - 2x2 - x + 3, indicating its domain, range,…

A: The given function is y=x3-2x2-x+3. Consider some values for x and evaluate the corresponding values…

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

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Q: 3. Which representation shows y as a function of x? A C y 3 -5 -1 7. 3 -2 -1 7. B D ((-3,6). (-2,6),…

A: If for a value of x, there are 2 values of y, then the relation will not be a function.    A) In…

Q: Show whether the function y=x² is considered as even or odd function

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Q: Draw the function of y = x 2 / 3 + x2

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Q: Which of the following relations is NOT a function? y = (x+2}° y =tVx 8 y x-3 y = 2"

A: The objective is to find which relation is not a function.

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.