Can you draw different functions that have the same x-intercepts and the same domain and range?

I'm pretty sure the answer is no. A function looks like this: f (x) = mx + c. Let's add another function, f (y) = ny + d. If the x-intercept is the same, we can subtract c and d from their respective equations. f (x) = mx, f (y) = ny. If the domains are the same, then x and y can have the same value, so we divide it out. f (x) = m, f (y) = n. Finally, if the ranges are the same, the value of f (x) = f (y). So by the substitution property, m=n. Since all the variables equal each other, both functions are equal to f (x) = mx+c! Therefore, they can only be the same function.

Answer: No