Question

Given f(x) and g(x) = f(k⋅x), use the graph to determine the value of k.A.) - 2B.) -1/2C.) 1/2D.) 2

Answer 1

In order to solve this problem we have to remember that the equation of any line takes the form

`y(x)=mx+b`

Therefore,

`y(kx)=\text{mkx}+b`

In other words, multiplying k by x is just multiplying the slope m by a factor of k.

The slope of g(x) is

`m=2`

and the slope of f(x) is

`m=1`

We see than the slope of g(x) is 2 times the slope of f(x); therefore, k = 2 which is choice D.