Question

Which answer correctly shows the graph of f(x)=x2+5x−1 and its inverse relation?

Answer 1

Given the function:

`f(x)=x^2+5x-1`

Let's select the answer for the graph of the function and its inverse.

Let's find random points on the function.

When x = 0:

`f(0)=0^2+5(0)-1=-1`

When x = -6:

`f(-6)=-6^2+5(-6)-1=36-30-1=5`

Thus, we have the points:

(x, y) ==> (0, -1) and (-6, 5)

Now, the inverse of this function will contain the points:

(x, y) ==> (-1, 0) and (5, -6)

Where f(x) is the blue function.

From the graphs shown, the graph which contains the points for f(x) = (0, -1) and (-6, 5) and g(x) = (-1, 0) and (5, -6) is the first graph.

Therefore, the correct graph which shows the f(x) and its inverse is: