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: 2x-y=5

A:

Q: State the domain and range of the function. (Enter your answers using interval notation.) y = Vx + 4…

A:

Q: Use the graph to determine whether y varies directly as some power of x or inversely as some power…

A: Variation statement y is proportional to x implies the variation equation y=kx. Here k is the…

Q: Find the number of units the function y = |x + 6| + 3 is translated from the parent function.…

A: This question can be solved using the concept of general equation of parabola.

Q: Which relation is a function? 2x - 5y -24 a. с. = 1 b. y= 2x-3x +7 d. y =-x+3y O A Ов O D

A: Explanation of the answer is as follows

Q: State the domain of the function. g1t2= 1 /1 + t2

A: Given: gt=11+t2 we know that for domain of this function denominator not has to be zero here,…

Q: Graph the function. y= CSC Choose the correct graph below. O co utv O C. O D.

A:

Q: Graph the function. y=(-3x)2/3 +3 O C. **** O A. Q O B.

A:

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: For each equation, determine if y is a function of x. a. x² + y² = 25 O Function 0 0 O Not a…

A:

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

A:

Q: every Saturday morning,you go for a jog.the distance you jog can be modeled by the equation…

A: every Saturday morning,you go for a jog.the distance you jog can be modelled by the equation…

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: Evaluate the following functions: (y-1)(y²+2y-3) y²-2y+1 a. b. 2 x-3x-4 x+1

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.