Function Properties Quiz

The domain is $R$ and the range is $[0, \infty[$.

The function is decreasing for $]-\infty, 0[$ and it is increasing for $]0, \infty[$.

The types of functions studied before include the straight line function, the quadratic function, the cubic function, the root function, the rational functions, the trigonometric functions, the general exponential functions, the natural exponential and logarithmic functions, and the general logarithmic functions.

<p>The graph of the function $f(x) = x^2 + 6x + 10$ is the parabola $y = x^2$ shifted 3 units to the left and then 1 unit upward.</p> Signup and view all the answers

<p>New functions can be obtained from old functions through shifting, reflection, and scaling.</p> Signup and view all the answers

<p>Critical thinking is the cognitive skills and intellectual dispositions needed to effectively identify, analyze, and evaluate arguments and truth claims, discover and overcome personal biases, and formulate convincing reasons in support of conclusions.</p> Signup and view all the answers

<p>Not thinking critically looks like blindly reproducing old learned reactions, believing TV and political commercials blindly, and blindly accepting information from textbooks or organizations without evaluation.</p> Signup and view all the answers

<p>The text mentions contextual sensitivity as a method of critical thinking, which involves being sensitive to the context in which information is presented.</p> Signup and view all the answers

<p>The goal of critical thinking is to make reasonable, intelligent decisions about what to believe and what is true based on careful evaluation and reasoning.</p> Signup and view all the answers

<p>Critical thinking involves actively and thoughtfully evaluating information, arguments, and truth claims, while not thinking critically involves blindly accepting information and not engaging in analysis and evaluation.</p> Signup and view all the answers

<p>Critical thinking is the cognitive skills and intellectual dispositions needed to effectively identify, analyze, and evaluate arguments and truth claims, discover and overcome personal biases, and formulate convincing reasons in support of conclusions.</p> Signup and view all the answers

<p>Not thinking critically looks like blindly reproducing old learned reactions, blindly believing TV commercials, blindly trusting political commercials, blindly accepting and saying that if the textbook says it, it must be so, and blindly accepting and saying that if the organization does it, it must be right.</p> Signup and view all the answers

<p>Critical thinking looks like having contextual sensitivity, being sensitive to the context in which one is thinking.</p> Signup and view all the answers

<p>The methods of critical thinking include contextual sensitivity - being sensitive to the context, identifying, analyzing, and evaluating arguments and truth claims, discovering and overcoming personal biases, and formulating and presenting convincing reasons in support of conclusions.</p> Signup and view all the answers

<p>The purpose of critical thinking is to make reasonable, intelligent decisions about what to believe and what is true.</p> Signup and view all the answers