Chapter 9, Problem 33RE

x2+2x+5, Show, x+2 Q1 Let f R\ {-2} → R be given by f(x) directly from the definition, that f is continuous at 3. =

(e) Use (a)-(d) to determine whether f is left-continuous, right-continuous, or continuous at r = -3 and a = 0. Make sure to explain your reasoning.

Consider the graph below. (-1,4) (1, 4) 1, 52) (3, 4) (-4, 5) Determine if f is continuous at x = c. (a) x = 4 (b) x = 1 (c) x = -1 (d) x = 3 (e) x = 5

false: If f(x) is differentiable in its domain then True or f must be continuous in its domain?

Provide an example of a function which is continuous on all of R and differentiable on all of R except when x = -4. Explain why your example satisfies the provided description.

ample 23: Show that the function f(x)=1-1-x² is continuous on the interval [-1.11.

2. Is the function f(x) =² continuous on the closed interval [-1, 1] ? Draw its graph illustrating its continuity or discontinuity. Selutien

Suppose that f(x) is a continuous function on the interval[ – 3, 1] with f( – 3) = - 9 and f(1) = 9. Determine which choice best describes the following statement. "f(x) = 0 for some r in the interval [-3, 1]" O Always false Always true Sometimes true and sometimes false

Describe the interval(s) on which the function is continuous. f(x) = sec 7EX 8 ..., (-16, -8), (-8, 0), (0, 8), (8, 16), ... O, (-167, -8π), (-87, 0), (0, 8π), (8л, 16л), ... O, (-12π, -4π), (-4π, 4π), (4, 12π), (12π, 20π), ... O, (-12,-4), (-4, 4), (4, 12), (12, 20), ... 0 (-0, ∞)