Question

Which graph represents the function f(x) = 4\x|?

2
5-4-3-2-11
4 5
y
-2-11
12
3
5
X
-2
-3
a
V
34

Answer 1

The second from the left.

Explanation:

f(x) = |x| is shaped like a V with the vertex at the origin and passes through the point (1, 1).

The 4 stretches the graph vertically by a factor of 4 so the point (1, 1) moves to (1, 4), and the vertex stays at the origin to produce a much narrower V shape.