Function R and D give the height, in feet, of a toy rocket and a drone, t seconds after they are released. Here are the graphs of R(for the rocket) and D (for the drone). 1. For what value of t is R(t) = D(t) true? What does this tell you about the drone and the toy rocket?

Q: 1) Draw the graph for the function Y = x³ and then find (D7) & (R). %3D

A: The graph of the function and domain and codomain.

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A: Given that an oil slick spreading out in a circular pattern from it's source. Also given that oil is…

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Q: 2. Graph the function: f(x) = - er-1 +2 x y xy

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Q: Exercise 3: You challenge yourself and graph the given functions on your own 1. y= 2) -3 -2 -1 1. 3.

A: We have to find the graph

Q: 3. If f(2) = 3, g(3) = 2, f(3) = 4, and g(2) = 5, ƒ [(f • g)(3)]. %3D

A: Given: f2=3, g3=2, f3=4, and  g2=5

Q: Use the functions to find (f + g)(5). ƒ = {(4,8), (8,5), (5,9)} and g(x) = 3x + 8

A: Given : f = 4,8,8,5,5,9gx = 3x+8

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A: Given the graph of fx = -40.45x is

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Q: The average water level in a retention pond is 6.8 ft. During a time of drought, the water level…

A: We will solve the following.

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Q: Refer to the function below, and find z when h (a) = 18. h (x) = 4x+2 %3D

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Q: Use the graphs of f and g to evaluate the functions. y=f(x) y= g(x)| 3 2 (a) (f – g)(2) 2. 3.

A: from the given graph , we - have - toevaluate the functions (a) (f-g) (2)…

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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.