Manipulate the graph to display the inverse of y = f(x) by dragging each given point on y = f(x) to the corresponding point on y = f1(x):

Q: Graph the functions

A: The vertical asymptote occurs if the denominator is 0 Since the degree of the denominator is more…

Q: Write the equation of the translation and reflection of f(x) =|x| as illustrated in this graph:

A: Given, f(x) =|x| The graph of f(x) =|x| is as shown below :

Q: Write the equation of a line tangent to the graph of f(x) = -2x³ + 5æ3 – 5x — — —1 3 at the point x…

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Q: Graph the functions

A: We will make a table for the function.

Q: Find the inverse function in slope-intercept form (mx+b): f (x) = -x + 5 Answer: f(x) = Submit…

A: We will find the inverse of the function

Q: Consider the function y=f(x). Describe the graph of each transformed function: a) y=-f(x-2)-1 b)…

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Q: A hot air balloon is at 400 feet above sea level and begins rising at a rate of 105 feet per minute.…

A: The rate is equal to the slope of the linear relationship between balloon elevation as a linear…

Q: what is the inverse of f(x)=3x-6 sketch the graph of f

A: Inverse of a function and its graph

Q: Given the function f(x)=x²-3x + 5, determine the inverse relation.

A: To Find the Inverse function we will exchange y with x and will calculate forward accordingly.

Q: Explain why g(x) = across the y-axis, or by shifting the graph of f one unit to the right and…

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Q: Graph the functions

A: Given:y=1x-2

Q: Graph the functions

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.