Graph the functions in parts (a) and (b) in the same rectangular coordinate system : a. Graph f(x) = lxl using the ordered pairs (-3, f(-3)), (-2, f(-2)), (-1, f( -1)), (0, f(0)), (1, f(1)), (2, f(2)), and (3, f(3)). b. Subtract 4 from each y@coordinate of the ordered pairs in part (a). Then graph the ordered pairs and connect them with two linear pieces. c. Describe the relationship between the graph in part (b) and the graph in part (a).

Q: Sketch the graph of the function. (4 - x2, x < -2 h(x) = 5+ x, -2 <x < 0 %3D 2+1, x 2 0 y

A: Given : for x &lt; -2 it is parabola opens downward as  sign of x2 is negative: for [-2, 0) it is…

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A: Explanation of the answer is as follows

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A:

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A: The given equation is x2+y2=1. This implies that,

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A:

Q: 2. Determine if the equation x-3y =1 is a %3D function.

A:

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Q: Does the graph shown below represent y as a linear function of x?

A: Linear function are those whosegraph is a straight line.

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A:

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A: We have to find the x intercept of given function.

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A: we have to Sketch the graph of the function. y = 3x/2

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A: Given that, 2x2 + 3y2 = 1

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A: Concept: A definition of a function is that a relation from a set of inputs to a set of possible…

Q: determine whether the equation defines y as a function of x.   x + y2 = 1

A: Given- x+y2=1 To determine- whether the equation defines y as a function of x

Q: Graph the function for the given domain. y=x2-3 D3,-2,-1,0, 1}

A:

Q: Determine whether the equation defines y as a function of x. x2 - 4y2 = 1

A: Given equation is x2 - 4y2 = 1

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A:

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A: To determine whether the equation defines y as a function of x.           y = x2

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A:

Q: Graph the function y= x² [1, (1< x< 2). 2x+4, x2

A: Given function, y=x22x+4x2 , 1≤x≤2 To sketch the graph of the function.

Q: Determine whether the equation defines y as a function of x. 2x - 4y2 = 3

A: To Determine whether the equation defines y as a function of x. 2x - 4y2 = 3

Q: Graph g(x), where f(x) = 3x − 1 and g(x) = f(x + 1).

A:

Q: 4) y= V4x + 8 -2 9-

A:

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A:

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Q: y = (x +2)x² - 1

A:

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A: we have to determine whether the equation defines y as a function of x. 2x2 - 4y2 = 3

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A:

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A:

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A: Given:y=14x

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A: To determine whether the equation given below defines y as a function of x :- x+y2=5 -(i)

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A: We have to graph of y=csc x2 First, we will make a table of cosec x2

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A: Given: y2=4-x2

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A: Given: z2−y2−x2=1

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A: x2+y2=16 On simplification, we get y2=16-x2⇒y=±16-x2

Q: 7- 6- -4- 2 -5 -4 -3 -2 -1 -1 1 23 4 -2- -3

A:

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.