1. Express the following function in terms of unit step functions: f(t)= t, 7-t, 0, 0 ≤ t < 2 2 < t < 5 5 ≤ t < 7 t>7

Q: Find the absolute maximum coordinate and absolute minimum coordinate of the function below on the…

A: Given information:The given piecewise function is show below:

Q: 2十 1. t. a) Express f(t) in terms of unit step functions

A: To express f(t) in terms of unit step functions.

Q: 1 65. Is the function given by G(x) = continuous бх + 8 at x = 2? Why or why not? 2.

A: To check the function G(x) = 1x2-6x+8 continuous at x = 2. G(x) = 1x2-6x+8

Q: Let f be the function given by f(x) = Jax + b for x 2 where a and b are constants

A:

Q: Consider the function f(x) that is described by the statment: “ the function decreases to the point…

A: Explanation of the answer is as follows

Q: If f(x)=14-x^(2) and g(x)=\sqrt(x+31), compute g(f(3)). Simplify your answer as much as possible.

A:

Q: Esc [3] Use a first derivative test with a well written conclusion to state the local min and max…

A:

Q: Since f(x) is continuous between a and b, the function needs to cross the x-axis. O TRUE O FALSE O…

A: Given fx is continuous between a and b

Q: Find the absolute maximum / minimum

A: Given,            f(x)=x(6-x) over the interval 1, 5

Q: let

A: F(s) = (s+1)/(s+9),

Q: f: X->Y and g: Y->X, f and g are functions. If gof= Ix , prof that f is 1-1 g is surjection…

A: Let f:X→Y and g:X→Y be 2 functions such that g∘f=Ix. Claim: If g∘f is injective, then f is…