Choose the graph that shows the correct sum.

Question

asked Jan 20, 2020 208k views

2 Answers

Alpinista · Answer 1 · 2020-01-23T00:44:08+0000

Answer:

The graph that shows the correct sum is:

Graph B

Explanation:

We are given a graph of a function f(x) as a straight line that passes through (0,2) and (2,0).

Hence, the equation of f(x) is:

y=-x+2

Also the graph of g(x) is a upward open parabola with vertex at (0,-3)

Hence, the equation of g(x) is:

y=x^2-3

Now the sum function i.e. (f+g)(x) is given by:

(f+g)(x)=f(x)+g(x)

Hence,

(f+g)(x)=x^2-x-1

Hence, the graph that denotes this function is:

Graph B.