A. Determine whether the functions f(x)=−x and g(x)=−37x+67 intersect at x=2.(1 point)
1. Yes, because f(x)=g(x) when x=2.
2. No, because f(x)≠g(x) when x=2.
3. No, because f(x)=g(x)when x=2.
4. Yes, because f(x)≠g(x) when x=2.
B. Determine whether the following statement is true or false.
Given functions f(x) and g(x), the x-coordinate of the point of intersection of two functions is a solution of the equation f(x)=g(x).
1. The statement is false because, when you substitute the x-coordinate of the point of intersection in the equation f(x)=g(x), a false statement results.
2. The statement is true because, when you substitute the x-coordinate of the point of intersection in the equation f(x)=g(x), a false statement results.
3. The statement is true because, when you substitute the x-coordinate of the point of intersection in the equation f(x)=g(x), a true statement results.
4. The statement is false because, when you substitute the x-coordinate of the point of intersection in the equation f(x)=g(x), a true statement results.