Consider the function f(x) = Complete the table below and sketch its graph. x 2 |-1 |-0.5 -0.1 F(x) X 21 0.5 0.1 f(x) Does the limit of fix) exist as x approaches 0? Why?

Q: X-1 At what points is the function) continuous? (х+4) (х-5)

A: Given, x-1(x+4)(x-5)

Q: Evaluate the piecewise-defined function. f(x) =    6x    if   x < 0 8 − x    if   0 ≤…

A: Since -0.5 <0, the applicable equation is f(x) = 6x f(-0.5) = 6*(-0.5) = -3.0

Q: Let f(x)=4x-3. Sketch the graph of f and f-1 and find the rule of f 1,

A:

Q: 3. Find the domain or range of the following functions f(x) =x -|x| Find the range. f(x) =. 2-x Find…

A:

Q: Determine how the function f behaves at infinity. f(x) = (x³∕2x³) + (2/5x) -2

A:

Q: Give one way to restrict the domain of the function f (x) = X4-2to make the resulting function…

A: Given function is: fx=x4-2fx=x2

Q: Consider the function f(x)=2x* – 4x² +4. Isƒincreasing or decreasing at the point x - 0.5?

A: Since you have asked multiple questions in a single request, we would be answering only first…