Average Rate of Change of a Function In Exercises 61-64, find the average rate of change of the function from x 1 to x 2 . function x -values f x = x 3 − 3 x 2 − x x 1 = − 1 , x 2 = 2
Average Rate of Change of a Function In Exercises 61-64, find the average rate of change of the function from x 1 to x 2 . function x -values f x = x 3 − 3 x 2 − x x 1 = − 1 , x 2 = 2
Solution Summary: The author calculates the average rate of change of the function, f(x)=x 3-32-x from the point.
Consider the quadratic function.
f(x)=-(x+4)(x-1)
(a) What are the x-intercepts and y-intercept?
(b) What is the equation of the axis of symmetry?
(c) What are the coordinates of the vertex?
(d) Graph the function on the coordinate plane. Include the axis of symmetry.
Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favor the
development of a recreational park on the west side of town. A community action group interested in preserving
the environment claims that 45% of the town's residents favor the development of a recreational park.
To determine whether the sample supports the population proportion, a simulation of 100 trials is run, each with
a sample of 200, using the point estimate of the population. The minimum sample proportion from the simulation
is 0.46 and the maximum sample proportion is 0.76.
(a) What is the point estimate of the population?
(b) The margin of error of the population proportion is found using an estimate of the standard deviation.
What is the interval estimate of the true population proportion?
(c) The margin of error of the population proportion is found using the half the range.
What is the interval estimate of the true population proportion?
(d) Is the community action…
Solve the system of equations. Show your work.
y = x²-3x+4
x+y=4
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