The graph of a function f is shown below.Use the graph of the function to find its average rate of change from x= -4 to x 2.Simplify your answer as much as possible.6-4.-8-6-48.102--6--8-

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Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter10: Radical Functions And Equations

Section10.2: Graphing Cube Root Functions

Problem 17Q

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When Date Are Unevenly speed. If data are evenly spaced, we need only calculate differences to see whether the data are linear. But if data are not evenly spaced, then we must calculate the average rate of change over each interval to see whether the data are linear. If the average rate of change is constant, it is the slope of the linear function. This fact is used in Exercises 23 and 24. In the following table, show that the average rate of change from 2 to 5 is not the same as the average rate of change from 5 to 6. This shows that the data are not linear, even though the differences in y are constant. x 1 2 5 6 y 3 6 9 12
High School Graduates The following table shows the number, in millions, graduating from high school in the United States in the given year. Year Number graduating in millions 1985 2.83 1987 2.65 1989 2.47 1991 2.29 a. By calculating difference, show that these data can be modeled using a linear function. b. What is the slope for the linear function modeling high school graduations? Explain in practical terms the meaning of the slope. c. Find a formula for a linear function that models these data. d. Express, using functional notation, the number graduating from high school in 1994, and then use your formula from part c to calculate that value.
A) What is the average rate of change of the function f(x)=1/x^2 from -4 to -1/2? B)What is the equation of the secant line through (-4,f(-4))and (-1/2,f(-1/2))? write your answer in terms of reduced fractions. C) sketch a graph of f and the secant line.
A linear function has a rate of change of -2 how much does y change for x - values increases by 3? A.y decreases by 2 B. Y decreases by 6 C. Y increases by 6 D. Y increases by 2.
The graph shows the function f(x). What is the average rate of change for the function f(x) over the interval [0,3]? Enter your answer as a number, like this: 42
Women in the Workforce Using data starting with 1950 and projected to 2050,the number of women (in millions) in the workforce is given by the function P=0.79x+20.86, Where x equals the number of years after 1950. (a)Find the Value of P when x=70 .Explain what it means. (b) What value of x represent 2030? Use the model to find the number of women in the worforce in 2020.
11. Please explain how to get the domain, y-intercepts, zeros of the function, the x-intercepts, average rate of change from 0 to 3 of f(x)=2x^2+9x-5/4x^2+5x-6 (I don’t know If I started this right)
Water temperature in a river is being modeled as a function of air temperature. If the degrees of freedom for error is 9, R2 = 0.4, and SSE = 200, if the estimated coefficient of air temperature is 0.8, what is the standard error for the coefficient of air temperature? Please report your answer in 3 decimal places.
The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 1 and x = 3.
Women in the Workforce Using data from 1950and projected to 2050, the number of women (inmillions) in the workforce is given by the functionP = 0.79x + 20.86, where x equals the number ofyears after 1950.(Source: U.S. Census Bureau)a. Find and interpret the P-intercept of the graph ofthis function.b. What is the slope of the graph of this function?c. Interpret the slope as a rate of change.
The points (−1.9,2.2)(-1.9,2.2) and (3.2,10.36)(3.2,10.36) are on the graph of a linear relationship between two variables, x and y. What is the constant rate of change of y with respect to x? Write a formula that expresses y in terms of x. What is the value of y when x=103
Hey can someone help me with these 2 questions, thank you loads! Two students in your class, Tucker and Karly, are disputing a function. Tucker says that for the function, between x = −3 and x = 3, the average rate of change is 0. Karly says that for the function, between x = −3 and x = 3, the graph goes up through a turning point, and then back down. Explain how Tucker and Karly can both be correct, using complete sentences. You are having a conference call with the CEO of a paper company. You have interpreted the number of trees cut down versus profit as the function P(x) = −x^4 + x^3 + 7x^2 − x − 6. Describe to the CEO what the graph looks like and, in general, how to sketch the graph without using technology. Use complete sentences, and focus on the end behaviors of the graph and where the company will break even (where P(x) = 0).

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The graph of a function f is shown below. Use the graph of the function to find its average rate of change from x= -4 to x 2. Simplify your answer as much as possible. 6- 4 -8 -6 -4 8. 10 -2- -6-