The table shows the heights y of a dropped object after z seconds. Verify that the data showa quadratic relationship. Then write a function that models the data. Time (seconds), x 0.5 1 1.5 2.5 Height (feet), y 150 146 134 114 86 50 The function y = models the data. How long is the object in the air? Round your answer to the nearest hundredth. It is in the air for about seconds.

Q: Write the inverse of each function. Then give the domain and range of the funetion and its inverse,…

A: Topic = Functions As per guidelines, At a time only one question can be answered out of different…

Q: The table shows the number of llamas born on llama ranches worldwide since 1988. Find a cubic…

A: Draw the graph using the graphing utilities and fins the function that best fits for the data: The…

Q: Write the equation for the graphed function. y = y 4 2 -6 -4 -2 4 6. 2.

A: General equation of a parabola is: y = a(x-h)2 + k where (h,k) denotes the vertex

Q: Part III. Write equations for the piecewise are 1 for every square. 9.

A: we need to write piecewise function from given graph

Q: graph the function. Describe the domain and range. |-4x, if x 0

A: We have to solve

Q: 2. Diana Nyad was the first person to swim from Cuba to the Florida Straits without a shark cage, a…

A: Given: Diana Nyad completed a 110-mile journey. a. As she took 1.9 miles per hour to complete this…

Q: Please build the linear function that models this data. You must show how you found the slope and…

A:

Q: A rectangle has perimeter of 64cm. Write an equation which relates the length of the rectangle as a…

A:

Q: 57 4- 3- 2- 1- -7 -6 -5 -4 -3 -2 -i 0l i e 3 4 5 6 7 -3- -4- -5+

A: Consider the given graph and from the graph it can be seen that:

Q: You have $100 saved and plan to save $20 each month. Write a rule for the amount saved (in dollars)…

A: Let, Y = 20 X + 100 Where, Y = amount saved and X = number of months The amount saved is dependent…

Q: Write an equation for the function graphed below. Use y as your output. 5 y= 2 + ++ -8 -7 -6 -5 -4…

A: see below the answer and explanation

Q: Determine whether each equation is a function or not. Please write "function" if it is a function or…

A: we have to determine the given equation is a function or not. 1. y=5-x32,y8 = x4

Q: The table describes a linear function. Fill in the missing numbers. x -4 2 . 4 Y 9 4.5 -3

A: Given:xy-49?4.52?4-3We are required to find:

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.