8. a. Use the given graph of the exponential function, f(x), and the line y x, to graph the inverse function of f(x). Label atleast two points on the graph of the inverse. -4 -3 -2 -1 2. 3 4. b. Find the equation of the inverse function for f(x) and state it's Domain and Range.

Q: Write the equation of the graphed exponential function in the form f (x) = a(b)*

A: Given,

Q: 7. Find the equation of the exponential function f(x). (No Decimals) Answer: 4 -3 -2 -1 5+ ++ 3 2-…

A: The general form of an exponential function is y=abx, where x,yare variables and a,bare constants.…

Q: Suppose that x and y vary inversely. Write a function that models each inverse variation. Graph the…

A:

Q: .Which of the functions is an exponential function? a. f(x) = x* b. h(x) = 4-I c. g(x) = 4 4x d.…

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: Find the inverse and identify the domain and range of the original function. 1. f(x)= 1/3x 2.…

A:

Q: Which function below matches this graph?

A: WE need to analyze the given graph. We know that sec(x) graph is a U shaded graph . sec(x) graph…

Q: B. Verify if the given pair of functions are inverses of each other. 1. fa) = and g(x) = 7x+ x-7 x-2

A: The solution is given as

Q: 7. Find the equation of the inverse for each function. State which of the following inverses are…

A:

Q: . Given the function y = - (x - 1)2 + 1. What is the parent function? Graph it. List, in order,…

A: Remember the following transformations:

Q: Explain why the function y=log, (x-4) doesn't have a y-intercept.

A: The domain is a set of x-values where the function is defined. In other words, the domain is the…

Q: graph each of the functions. f (x) = √-x

A: The given function is fx=-x

Q: 7.Find the inverse of the following function f (x) = 2(x – 4)² + 3. Graph both the function and the…

A:

Q: 9. Find the equation of the inverse of each function. Write appropriate domain restrictions when…

A:

Q: Plot the graph of the exponential function f(x) = -3x? + 12x + 5. Also write its vertex, axis of…

A: The function given is not an exponential function it is a Downward Opening Parabola.

Q: 1. Consider the functions f (x) = ÷x – 1 and g(x) = x² – 4. (a) Graph each function by filling in…

A: The two functions are given f(x)=12x-1 and g(x)=x2-4.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.