Posted by **Kwena** on Sunday, March 11, 2012 at 10:10am.

Why f(x) and g(x) do not cut the x-axis at the same number of points. Why h(x) does not cut the x-axis. Why do all cut the y-axis at one point only.

- math -
**MathMate**, Sunday, March 11, 2012 at 10:42am
You probably have a graph of the three relations/functions in front of you, but we do not see it.

However, if f(x), g(x), and h(x) are functions, then the following statements are true:

1. Any defined function can intersect the x-axis any number of times, depending on the definition of the function. For example, the sine function cuts the x-axis infinite number of times.

2. By the definition of a function, any vertical line through any point on the domain of the function can intersect the function at exactly one point.

That is why the all the functions cut the y-axis at (at most) one point.

## Answer this Question

## Related Questions

- math - Why f(x) and g(x) do not cut the x-axis at the same number of points?
- science - In the below the results are given for the saprate mating of tomato ...
- MATH - Find the volumes of the solids generated by revolving the region in the ...
- Algebra - 43. For every real number x, y, and z, the statement (x-y)z = xz - yz ...
- Algebra,Math, graphs help - This is what the directions state to do: (A) ...
- graphing exponential function - P(x) = -(x-a)^4 (x-b)^3 (x-c) where a>0, b<...
- fractions - If I have three pizzas all the same size and one pizza is cut into ...
- Calculus - Find the volume of the solid obtained by rotating the region bounded ...
- Calculus - Find the volume of the solid obtained by rotating the region bounded ...
- Calculus - Find the volume of the solid obtained by rotating the region bounded ...