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can you help me with these please 6. Given the graph of the function y = f(x) be

ID: 3018066 • Letter: C

Question

can you help me with these please

6. Given the graph of the function y = f(x) below: 24 pts. 7 3 5 Answer questions a-j. Estimate if needed. Use interval notation for all intervals. a) What is the domain and range of f? b) Evaluate f(-6) and f c) For what value(s) of x is f(x) = 0 ? d) What is f(x) when 2 e) For what x-interval(6) isf (x) s0? f) For what value(s) of x is f(x) = 2? 8) For what open x-interval(6) is ffe) increasing h) For what open x-interval (s) is fA) decreasing? D What is the minimum value of fxy)?_ ) Express all x values for which the minimum value of fxj occur?

Explanation / Answer

6)

a)

domain [-6,2]

range [-2,2]

b)

f(-6)=-2 , f(1)=0

c)

f(x) =0 for x= -2, 1

d)

when x=2, f(x) =f(2)=-2

e)

f(x)0 for x in interval [-6,-2]U[1,2]

f)

f(x) =2 for x=0

g)

f(x) increasing in (-4,0)

h)

f(x) decreasing in (0,2)

i)

minimum value of f(x) is -2

j)

minimum value of f(x) occur for x =[-6,-4]U{2}

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