Question

Graphs of the functions f and g are given.

у
f
9
1
0
1
.X
(a) Which is larger, f(1) or g(1)?
f(1) is larger
g(1) is larger

Answer 1

g(1) is larger

Explanation:

Given

See attachment for graph

Required

Determine which is larger; f(1) or g(1)

From the attachment, the red curve represents f(x) while the blue curve represents g(x)

Next, we determine the values of f(1) and g(1).

f(1) is the point where x = 1 on the y-axis (for the red curve)

So:
`f(1) = 1`

g(1) is the point where x = 1 on the y-axis (for the blue curve)

So:
`g(1) = 2.8`

By comparison:

`2.8 > 1`

So, g(1) is larger