Question

Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
k = ____

Answer 1

k=3

Explanation:

Given f(x) and g(x) = f(x) + k

We have to look at the graph and determine the value of k.

as we can clearly see in the graph that:

f(0)=2 and g(0)=5

Hence, it must satisfy the equation

i.e. g(0)=f(0)+k

5=2+k

Hence, k=3

Answer 2

We notice that f(0)=2. Also, we can see that g(0)=5 from the graph.

Since g(x) = f(x) + k for all x, then for x=0 we have:

g(0) = f(0) + k, that is 5=2+k, which yields k=3.


Answer: k=3