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Given the following piecewise function:
f(x)=piecewise { 4x+4} for x < -2
{-2 } for -2 ≤ x ≤ 4
{-2x } for x > 4
a. Find the domain
b. Find the range
c. Find the intercepts
d. If f continous on its domain? If not, state where f is discontinuous
find the total length of the perpendiculars |CD|+|DE|+|EF|+|FG|+... in terms of b and theta.
For the following problems, determine how many years it will take for the two accounts to reach the same amount. A 1000 dollar investment at a rate of 3% compounded monthly and an 1100 dollar investment at a rate of 3.02% compounded annually.
the lifetime of a light bulb is normally distributed with a mean life of 1000 hours and a standard deviation of 30 hours. Find the probability that a randomly selected light bulb lasts longer than 1045 hours.
a car traveling at 45 miles per hour is brought to a complete stop, at a constant deceleration, 132 feet from where the brakes are applied. How far has the car moved when its speed has been reduced to 15 miles per hour? How far has the car moved w..
What makes an equation linear? If an equation is linear, must it be a function? If so, explain why. If not, then provide a counterexample and explain why it is not a function.
reading readiness of preschoolers from an impoverished neighborhood n20 was measured using a standardized test.
Under plan B, Giselle would pay the first $140, but only 20% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over $140 in bills.
A pendulum is 18 feet long. Its central angle is 44º. The pendulum makes one back and forth swing every 12 seconds. Each minute, the pendulum swings _____ feet.
in a recent year about two-thirds of u.s. households purchased ground coffee. consider the annual ground coffee
Please explain how to create a function whose graph has the indicated characteristics for each of a and b
A production center is available for 8 hours a day in a factory. It is comprised of several rotary parts and the worker operating it, is required to lubricate these rotary parts regularly each day.
Use the Generalized Power Rule to find the derivative of the function.
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