A stereotype is a generalization made by a group. What stereotype do you think hippies might have formed about mainstream Americans? What stereotype do you think mainstream Americans might have formed about hippies? Why?

In your opinion, why didn't the hippies succeed?

What if the Equal Rights Amendment had been ratified? Speculate on how women's lives might have been different. Use reasons to support your answer.

What generalization does the second writer make about most teenagers who are out late?

A They are causing trouble with other kids.

B They are working evening jobs.

C They belong to gangs.

D They are just getting from one place to another.

Compare the graphs of $y = \sqrt[3]{x}$, $y = \sqrt{x}$, $y = x$, $y = x^2$, and $y=x^3$ on the interval $0 \leq x \leq 2$. Write a generalization based on what you find out about graphs of equations of the form $y=x^{p/q}$, where $x \geq 0$ and $p$ and $q$ are positive integers.

How did drug use in the counterculture movement lead to new laws and a change in government policy?

Try out your generalization by sketching the graphs of

$$f ( c x ) \text { for } c = 1 , \text { and } c = \frac { 1 } { 2 } , \text { and } c = \frac { 1 } { 4 }$$

for a function of your choice.

Using the given words complete the given statements.

induction circumstantial evidence deduction begging the question case study hasty generalization sign false analogy causality ignoring the question correlated

"My client's presence at the scene of the crime does not mean that she is guilty," argued the attorney. "Her presence is merely ___ .

Using the given words complete the given statements.

induction circumstantial evidence deduction begging the question case study hasty generalization sign false analogy causality ignoring the question correlated

If the authors of this book asked you, "How do you like this great quiz so far?" they would be ___ .

Prove the following generalization of the Eisenstein Criterion. Let $f ( x ) = a _ { 0 } x ^ { n } + a _ { 1 } x ^ { n - 1 } + \cdots + a _ { n }$ have integer coefficients and suppose that there is a prime $p$ such that $p \nmid a _ { 0 } , p \left| a _ { 1 } , p \right| a _ { 2 } , \ldots , p \left| a _ { n - 1 } , p \right| a _ { n }$ but $p ^ { 2 } \nmid a _ { n } ;$ then $f ( x )$ is irreducible in $\mathbb { Q } [ x ]$

What is the meaning of stereotype in paragraph 8 ?

It is suggested that the number of pieces into which a pie is divided is doubled with each additional cut across the pie. Do you believe this is a valid generalization, or can you find a counterexample?

For each part below, use a graphing calculator and a standard window to graph each pair of functions and their sum. What generalization can you make about the graphs? a. $f(x)=x \text { and } g(x)=\frac{1}{x}$ b. $f(x)=3 x \text { and } g(x)=\frac{1}{x}$ c. $f(x)=-2 x+1 \text { and } g(x)=\frac{1}{x}$

The writer of the second online response claims that -

A concepts of trust and responsibility are learned best from one's parents

B teenagers cannot be trusted to behave correctly at night

C the idea that "young people cannot be trusted" is a false notion

D teenagers learn about trust when given fewer restrictions