rcise 2. Sketch the graph of the following piecewise defined functions 1. f(x)={-2, if x <0 2, if x20 [2x +1, if x<3 5. g(x) = [10 - x, if x23 fx+2, if x21 2. f(x)=| x -1, if x<2 [ 2 - x, if x22 6. f(x)=- 1-x², if x<1 2x + 3, if x<1 St² +4, if t5-4 4-t, if t>-4 7. f(x) ={ 4, if x=1 (x +2, if x>1 3. F(t) = Me) ={ x, if xs2 8- 2x, if x> 2

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A: we use function transformation

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Q: 4) State the Piecewise Function for the graph below. { } f(x) = - { }

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A:

Q: 8. Determine algebraically if the function is even, odd or neither. y = -2' - |-2°|

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A: The easiest type of function to use for these types of problems are rational unctionsFor vertical…

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A: x=0 y=0   x=1 y=(8)^(1/2)   x=2 y=4((7)^(1/2))   x=3 y=9((6)^(1/2))

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A:

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A: P=(x,y) be a point on the graph of y=x2-5

Q: so if|x| 2 43. f(x)

A: Following is the graph plotted for individual functions.

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A: Sol

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A: As per our guidelines, we’ll answer the first question since the exact one wasn’t specified. Please…

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A: Question is solved.

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A: Topic:- function

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A: Topic:- calculus

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Q: 6. Graph the piecewise defined function. 1x+4] if x2

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A: We will solve the problem

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A:

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A:

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A: The solution is provided 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.