Question

Select the correct answer.Consider the functions below.f(x) = xg(x) = 3xWhich of the following statements describes the graph of function g?1. The graph of gis times as steep as the graph off.2. The graph of g is 3 units to left of the graph off.3. The graph of g is 3 units to right of the graph off.4. The graph of g is 3 times steeper than the graph off.

Answer 1

Both f and g are proportional relationship, but the slope of g is 3 times the slope of f.

As the slope of g is 3 times bigger than the slope of f, the graph of g is 3 times steeper than the graph of f.

Answer: 4. The graph of g is 3 times steeper than the graph of f.