The graph of the function f(x)=x is transformed to form function g(x) such that g(x)=3f(x). Which graph represents f and g?

Answer 1

The graph of g(x) = 3f(x) would be three times as steep as the graph of f(x)=x. This means that g(x) would pass through the points (0,0), (1,3), (-1,-3), etc., creating a steeper straight line.

Here is a rough sketch of what the graphs of f(x) and g(x) would look like:

f(x)=x: a straight line passing through points (0,0), (1,1), (-1,-1), etc.

g(x)=3f(x): a steeper straight line passing through points (0,0), (1,3), (-1,-3), etc.

Unfortunately, I'm unable to draw the exact graphs, but this description should give you an idea of what they would look like.