Show that f (x) = 2x2 -3 is an even function. Explain why itsgraph is symmetric about the y-axis.

Q: is this a function and why y = x2 + 3

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

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Q: What is the end behavior and removable discontinuity of the function y= x-4/3-2x ?

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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: The range of the function y = -3(x + 2) ^2 -12 is

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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…

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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: -4 6-4-3-2-41 -2- 43-

A: For the y-intercept we have to mean that we have to looking for x=0 and looking for y coordinate…

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

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Q: Is y=2x+1 a function or not?

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Q: Does the relation x(x + y) = 1 specify a function? Explain.

A: Refer to the question, we have to specify the relation, x(x + y) = 1 is a function.Then according to…

Q: Explain why z2 = x + 3y is not a function of x and y.

A: The given equation is z2=x+3y. The objective is to explain why it is not a function of ‘x’ and ‘y’.…

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.