Answer:
1) increases on all interval of x = only g(x)
2) approaches an integer as x approaches -∞ = only f(x)
3) y-intercept at (0, 4) = only g(x)
4) x-intercept at (1, 0) = f(x) and h(x)
Step-by-step explanation:
1) The functions that increases on all interval of x are;
f(x) = -2(3)ˣ + 6 decreases on all interval of x
The function g(x) which is 4 × 4ˣ increases on all interval of x
The function h(x) is observed to be decreasing as x increases, therefore, the only function that increases on all interval of x = g(x)
2) The function that approaches an integer as x approaches -∞ = -2(3)ˣ + 6
-2(3)ˣ + 6 approaches 6 as x approaches -∞ which is only f(x)
3) The functions that have a y-intercept at (0, 4) is only g(x)
4) The function that have a x-intercept at (1, 0) are f(x) and h(x).
