SOLUTION: f is a continuous function with a domain [−3, 9] such that
f of x equals 3 for x between negative 3 and 0 including negative 3, equals negative 1 times x plus 3 for x betwee
Algebra.Com
Question 1021214: f is a continuous function with a domain [−3, 9] such that
f of x equals 3 for x between negative 3 and 0 including negative 3, equals negative 1 times x plus 3 for x between 0 and 6 inclusive, and equals negative 3 for x greater than 6 and less than or equal to 9
and let g of x equals the integral from negative 2 to x of f of t, dt.
1. On what interval is g increasing? Justify your answer.
2. For 0 ≤ x ≤ 6, express g(x) in terms of x. Do not include +C in your final answer.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
a) g increases from [-3,3]. From the graph the function f cross the x axis and the total area starts decreasing.
.
.
.
.
.
.
.
b) Break up the integral into 3 regions.
[-3,0]
.
.
.
[0,6]
.
.
.
[6,9]
RELATED QUESTIONS
f is a continuous function with a domain [−3, 9] such that
f of x equals 3 for x... (answered by Fombitz)
If f is a linear function, f(0.1) = 9.3, and f(0.4) = −6.3, find an equation f(x)... (answered by CubeyThePenguin)
Suppose f is a function such that f(f(x)) = x for all x in the domain of f, and suppose... (answered by CPhill)
(a)Find the domain of the function, (b) decide if the function is continuous, and (c)... (answered by lwsshak3)
To two decimal places, find the value of k that will make the function f(x) continuous... (answered by Boreal)
Suppose you have a function y = f(x) such that the domain of f(x) is 1 ≤ x ≤... (answered by jim_thompson5910,robertb)
1)The equation defines a one-to-one function f. Determine f -1 and verify that f f -1... (answered by solver91311)
Suppose f is the function whose domain is the interval [−2, 2], with f defined by... (answered by richard1234)
Linear Equation from slope and point: Suppose that f is a linear function with slope 2.6... (answered by stanbon)