(see pic) , and try to explain, i forgot how to do them

let f be the function given above. which of the following statements are true about f?

(a) none
(b) i only
(c) ii only
(d) i and ii only
(e) i, ii, and iii

  (D) I and II only

Step-by-step explanation:

A function has a limit at a point if the limit from the left and the limit from the right are the same value.

Here f(3) = 5, and the linear function defined for x ≤ 3 is continuous, so the left limit exists.

The function defined for x > 3, when evaluated at x = 3, also has a value of 5. That function, too, is continuous up to x = 3, so the right limit is defined.

The left and right limits at x=3 are y=5, so the limit exists. (Statement I is true.)

__

The function f(x) is defined as 5 for x=3, so the limit exists and is the same as the function value at x=3. That means the function is continuous at x=3. (You can draw the graph through that point without lifting your pencil.) (Statement II is true.)

__

The slope of f(x) for x < 3 is 1; the slope for x > 3 is 4. There is a discontinuity in the slope at x=3, so the function is not differentiable there. (Statement III is false.)

_____

The graph shows the function in red and its derivative in blue. You will notice there is a discontinuity (step change) at x=3.

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

gregory's graph is incorrect because it shows 2 inches of growth for each week when it should show 0.75 inches of growth each week.