Suppose f(x) is defined as shown below.
a. Use the continuity checklist to show that f is not continuous at 1 .
b. Is f continuous from the left or right at 1 ?
c. State the interval(s) of continuity.
f(x)={(x^(2)+3x if x>1),(2x if x<=1):}
a. Why is f not continuous at 1 ?
A. Although lim_(x->1)f(x) exists, it does not equal f(1).
B. f(1) is not defined.
C. lim_(x->1)f(x) does not exist.
b. Choose the correct answer below.
A. f is continuous from the left at 1.
B. f is not continuous from the left or the right at 1.
C. f is continuous from the right at 1 .
c. What are the interval(s) of continuity?
(Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.)
7. a. For the function and point below, find f^(')(a).
b. Determine an equation of the line tangent to the graph of f at (a,f(a)) for the given value of a.
f(x)=4x^(2)+2x,a=-1
a. f^(')(a)=
b. y=
6. Suppose fx is defined as shown below. a. Use the continuity checklist to show that f is not continuous at 1. b. Is f continuous from the left or right at 1? c.State the interval(s)of continuity x2+3x if x>1 f(x)= 2x if1
a. Why is f not continuous at 1? OA.Althoughlim f(xexists,it does not equal f1
B.f1is not defined. O C.lim f(x does not exist. X1 b.Choose the correct answer below OA.f is continuous from the left at 1 O B.f is not continuous from the left or the right at 1 O c. f is continuous from the right at 1 c. What are the interval(s) of continuity?
7.a.For the function and point below,find f'(a) b. Determine an equation of the line tangent to the graph of f at (af(a)) for the given value of a. f(x=42+2x,a=-1 a.fa=
b.y=