Consider the given functions.Select the true statement regarding the end behavior of the functions. A. As the value of x increases, f and h both approach positive infinity. B. As the value of x increases, f and g both approach positive infinity. C. As the value of x increases, g is the only function to approach 0. D. As the value of x increases, f is the only function to approach 0.

Increasing, decreasing or constant behavior of a function is the same as the end behavior of a function.Question 2Select one:TrueFalse

Consider the functions below.𝑓⁡(𝑥)=𝑥𝑔⁡(𝑥)=15⁢𝑥Which of the following statements describes the graph of function g? A. The graph of g is one-fifth as steep as the graph of f. B. The graph of g is one-fifth of a unit to the left of the graph of f. C. The graph of g is five times steeper than the graph of f. D. The graph of g is one-fifth of a unit to the right of the graph of f.

Use the graphs of f and g in the accompanying figure tofind the limits that exist. If the limit does not exist, explainwhy.(a) limx → 2 [f(x) + g(x)]

Consider the functions c( ) 3 sin osx xf x += where 0 ≤ x ≤ π and g (x) = 2x where x ∈  .(a) Find ( f  g)(x) .

1. Let g(n) be a function. For each of the following statements, mark in the answer sheetswhether it is correct (true = correct, false = incorrect).(a) Θ(g) = {f (n) : There exist positive constants c1, c2 and n0 such that0 ≤ c1 · g(n) ≤ f (n) ≤ c2 · g(n), for all n ≥ n0}(b) Θ(g) = {f (n) : There exist positive constants c1, c2 and n0 such that0 ≤ c1 · f (n) ≤ g(n) ≤ c2 · f (n), for all n ≥ n0}(c) Θ(g) = O(g) ∩ Ω(g)