Question

The table shows different values for functions f(x) and g(x), which are continuous for allOver which intervals does f(x)=g(x)?Select all that apply.[3,4][2,3][1,2][5,6][4.5)

Answer 1

The answer is [3,4].

Given:

the values of two functions f(x) and g(x) given corresponding to different values of x.

Find:

we have to find the interval for which f(x) can be equal to g(x).

Explanation:

As the range of f(x) for domain [3,4] is [0.68,0.86]

and the range of g(x) for domain [3,4] is [0,1],

So, it is clear that there exist a point in domain [3,4] at which f(x) = g(x).