The graph of any polynomial function will always pass through the y-axis.

The graph of a piecewise-defined function is continuous everywhere on the real line.

When we evaluate a floor function, we round down the given value to the nearest integer.

Step functions are considered as piecewise-defined functions.

No part of the graph of any polynomial function is constant except if it is a constant function.

A polynomial function of degree 3 can have at least 3 x-intercepts or zeros.

If the degree of the polynomial function is even and the leading coefficient is positive, then it has a global maximum.

A linear function is an example of a polynomial function.

When we evaluate piecewise functions, we use the rule that corresponds to the subdomain where the given value belongs.

When we look for the range of the function, we look at the horizontal span of the graph.

It is possible for a polynomial function not to cross the x-axis.

The graph of a step function is discontinuous at several values of x.

All linear functions have inverses.

If we are looking for the 5th term in a binomial expansion, then the value of r in our formula will be 4.

The sum of the numbers on the 5th row of the Pascal's triangle is 34.

Mr. Galpao is 33 years old.

The first meal Mr. Galpao ate when he arrived here in the US was a hamburger.

Dragon Ball Z is Mr. Galpao's most favorite anime to watch.

If $f$ and $g$ are inverses of each other, then $\left(f\ \circ\ g\right)\left(x\right)=x$ .

The graph of a square root function is continuous everywhere in its domain.

The graph of a quadratic function is a parabola that opens either to the left or to the right.

The graph of a polynomial function has smooth round turns or curves.

The domain of any polynomial function is the set of all real numbers.

All polynomial functions have inverses.

Mr. Galpao went to New York City last Christmas.

Mr. Galpao began his teaching career as a high school Mathematics teacher.

In his Facebook account, Mr. Galpao has a separate photo album for all his gaming-related posts.

Mr. Galpao once dreamt of becoming an astronaut someday.

Mr. Galpao has an Instagram account.

In going to college, Mr. Galpao's first program of choice was teaching.

Mr. Galpao loves spicy foods.

Mr. Galpao was able to visit one of the NASA Space Camps here in the US.

Mr. Galpao graduated in college at the age of 19.