## 4 which function has the greatest rate of change

A rate of change is a rate that describes how one quantity changes in relation to another quantity. Time Driving (h) xDistance Travelled (mi) y28041606240.

Determine which function has the greater rate of change 1.The rates of change are equal. 2.The graph has a greater rate of change. 3.The table has a greater rate of change. 4.none of the above . asked by HELP on April 28, 2015; Math Rate of Change. In the examples above the slope of line corresponds to the rate of change. e.g. in an x-y graph, a slope of 2 means that y increases by 2 for every increase of 1 in x. The examples below show how the slope shows the rate of change using real-life examples in place of just numbers. Given the formula of a function, Sal finds the interval where the function has an average rate of change of 1/2. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy Comparing features of functions presented in different formats. Compare each of the functions shown below: f(x) x y 0 0 pi over 2 4 π 0 3 pi over 2 −4 2π 0 g(x) sine curve with points at 0, 0 and pi over 2, 4 and pi, 0 and 3 pi over 2, negative 4 and 2 pi, 0 h(x) = 4 sin(x) + 2 Which function has the greatest rate of change on the interval from x = π to x = 3 pi over 2 4 ­ 2 2 1 6 2 = 2 = 3 a) b) So (b) has the greater rate of change Now let's put it all together. What if we are given a graph, an equation, and a table? y = 9x + 3 x y 2 12 4 18 6 24 a) b) c) * Remember: rate of change = slope = rise run m = 4 1 m = 9 m = 3 b) has the greatest rate of change. Question 1014825: Which function has the greatest rate of change? A.14x – 2y = 8 B. y = 6x – 5 C. x y −2 −7 −1 −2 0 3 D. A linear function that goes through point 1, 3 and point 0, negative 2

## The rates of change are equal 2. The slopes are equal 3. The function rule has a greater slope 4. A parabola 5. A curve 6. A straight line 7. -3, -2, 1, 6 ^I promise

Activity 2 Functions from Tables and Graphs • Activity 3 Which Function has the Greater Rate of Change • Activity 4 Linear Functions • Activity 5 Fun With  For a function, this is the change in the y-value divided by the change in the x- value for two distinct points on the graph. Any of the following formulas can be used. The same goes for the steepness of a line. The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between  This question asks: "For this particular value of x, what will be the value of the What is the change in value of the function between x0 and x1? a certain change in value over a short interval will correspond to a greater rate of change than,  The norm of the gradient at the point $(2, 0)$ is therefore $\| \nabla (2, 0) \| = \sqrt{ 0 + 4} = \sqrt{4} = \pm 2$. The maximum rate of change is therefore $2$ and  enue functions, this rate is also the slope of the line that is the graph of the revenue function. In nection between average rates of change and slopes for linear functions to define the aver- from smallest to greatest, and explain your choice. Each worksheet has 6 problems drawing a line with a greater or less slope. Each worksheet has 20 problems identifying the rate of change for an equation in

### The 3rd line has a slope of -2, and so its absolute value is 2. The last line has slope of -1, with absolute value 1. Therefore, the line that has the greatest rate of change is the 1st line, choice A.

1 Expert Answer. Rate of change can be either positive (acceleration) or negative (deceleration). Therefore, it is the magnitude (absolute value) that determines the "amount" of rate of change. Bottom line: -4 is a greater rate of change than +2 (assuming the units are the same in both instances). Stanley has 1.45 in dimes and quarters. If he has 10 coins in total, how many of ecah does he have.

### Given the formula of a function, Sal finds the interval where the function has an average rate of change of 1/2. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy

READY, SET, GO Homework: Linear and Exponential Functions 2.1. 2.2 Shh! Our family has a small pool for relaxing in the summer that holds 1500 gallons of water. I decided to fill State which situation has the greatest rate of change. 1. Activity 2 Functions from Tables and Graphs • Activity 3 Which Function has the Greater Rate of Change • Activity 4 Linear Functions • Activity 5 Fun With  For a function, this is the change in the y-value divided by the change in the x- value for two distinct points on the graph. Any of the following formulas can be used. The same goes for the steepness of a line. The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between  This question asks: "For this particular value of x, what will be the value of the What is the change in value of the function between x0 and x1? a certain change in value over a short interval will correspond to a greater rate of change than,  The norm of the gradient at the point $(2, 0)$ is therefore $\| \nabla (2, 0) \| = \sqrt{ 0 + 4} = \sqrt{4} = \pm 2$. The maximum rate of change is therefore $2$ and

## Algebra 2: Functions of All types help? 1) f(x) = 3 cos 2x + 4. h(x) x y-6 -11-5 -6-4 -3-3 -2-2 -3-1 -6. 0 -11. Which of those functions has the greatest maximum y-value? -3 -27-2 -8-1 -1. 0 0. 1 1. 2 8. 3 27. 4 64. h(x) = (x + 4)2 + 2. Which one of these two functions has the greatest rate of change on the interval from x=o to x=4? 3) f(x

READY, SET, GO Homework: Linear and Exponential Functions 2.1. 2.2 Shh! Our family has a small pool for relaxing in the summer that holds 1500 gallons of water. I decided to fill State which situation has the greatest rate of change. 1. Activity 2 Functions from Tables and Graphs • Activity 3 Which Function has the Greater Rate of Change • Activity 4 Linear Functions • Activity 5 Fun With  For a function, this is the change in the y-value divided by the change in the x- value for two distinct points on the graph. Any of the following formulas can be used. The same goes for the steepness of a line. The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between  This question asks: "For this particular value of x, what will be the value of the What is the change in value of the function between x0 and x1? a certain change in value over a short interval will correspond to a greater rate of change than,  The norm of the gradient at the point $(2, 0)$ is therefore $\| \nabla (2, 0) \| = \sqrt{ 0 + 4} = \sqrt{4} = \pm 2$. The maximum rate of change is therefore $2$ and

Compare each of the functions shown below: f(x) x y 0 0 pi over 2 4 π 0 3 pi over 2 −4 2π 0 g(x) sine curve with points at 0, 0 and pi over 2, 4 and pi, 0 and 3 pi over 2, negative 4 and 2 pi, 0 h(x) = 4 sin(x) + 2 Which function has the greatest rate of change on the interval from x = π to x = 3 pi over 2 4 ­ 2 2 1 6 2 = 2 = 3 a) b) So (b) has the greater rate of change Now let's put it all together. What if we are given a graph, an equation, and a table? y = 9x + 3 x y 2 12 4 18 6 24 a) b) c) * Remember: rate of change = slope = rise run m = 4 1 m = 9 m = 3 b) has the greatest rate of change. Question 1014825: Which function has the greatest rate of change? A.14x – 2y = 8 B. y = 6x – 5 C. x y −2 −7 −1 −2 0 3 D. A linear function that goes through point 1, 3 and point 0, negative 2 This precalculus video tutorial explains how to calculate the average rate of change of a function over an interval. This video contains plenty of examples and practice problems. Precalculus New Algebra 2: Functions of All types help? 1) f(x) = 3 cos 2x + 4. h(x) x y-6 -11-5 -6-4 -3-3 -2-2 -3-1 -6. 0 -11. Which of those functions has the greatest maximum y-value? -3 -27-2 -8-1 -1. 0 0. 1 1. 2 8. 3 27. 4 64. h(x) = (x + 4)2 + 2. Which one of these two functions has the greatest rate of change on the interval from x=o to x=4? 3) f(x