Two Truths and a Lie Math Analysis

Which of the following is NOT TRUE?

• A function has an inverse if it passes the Horizontal Line Test.

• A polynomial function can have two or more y-intercepts.

• The domain of a greatest integer function is the set of all real numbers.

Which of the following is NOT TRUE?

• If a vertical line intersects the graph at more than one point, then it is a function.

• Quadratic functions may have at most two zeros.

• If the degree of the polynomial function is odd and the leading coefficient is negative, then the graph rises to the left and falls to the right.

Which of the following is NOT TRUE?

• The graph of a polynomial function is continuous everywhere on the real line.

• The range of step functions will always be a set of integers.

• An absolute value function is an example of a polynomial function.

Which of the following is NOT TRUE?

• 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.

Which of the following is NOT TRUE?

• North Carolina was the first state Mr. Galpao was able to reach upon arriving here in the US.

• Mr. Galpao is playing Genshin Impact.

• Geometry is Mr. Galpao's favorite branch of Mathematics.

Which of the following is NOT TRUE?

• 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.

Which of the following is NOT TRUE?

• 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.

Which of the following is NOT TRUE?

• 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.

Which of the following is NOT TRUE?

• 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.

Which of the following is NOT TRUE?

• 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.