Provide an appropriate response.Use the definition of continuity to show that f(x) =  is continuous at x = 3.

What will be an ideal response?


f(3) is defined (= 2);f(x) exists (= 2);f(x) = 2 = f(3). Thus f is continuous at x = 3.

Mathematics

You might also like to view...

A school board has determined that there should be 3 teachers for every 60 students. How many teachers are needed for an enrollment of 3,180 students? 

A. 134 teachers B. 170 teachers C. 159 teachers D. 175 teachers E. 216 teachers

Mathematics

Graph y = f(x) and y = |f(x)| in the standard viewing rectangle. Determine the x-intercept for the graph of y = |f(x)|.y = 2x + 2.8

A.

x-intercept is 1.4.
B.

x-intercept is 2.
C.

x-intercept is -1.4.
D.

x-intercept is 0.

Mathematics

Simplify the expression. ÷ 

A.
B.
C.
D.  

Mathematics

Find the vertex of the parabola.f(x) = -2x2 + 3x + 1

A.
B.  
C.
D.  

Mathematics