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Questions in Grade College

[Done] Consider the function [tex]f(x)=\left\{\begin{array}{ll}x^2-5 x & \text { if } x\ \textless \ 3 \\ 7 x-4 & \text { if } x \geq 3\end{array}\right.[/tex]. Evaluate [tex]\lim _{x \rightarrow 3^{-}} f(x)[/tex] and [tex]\lim _{x \rightarrow 3^{+}} f(x)[/tex]. A. [tex]\lim _{x \rightarrow 3^{-}} f(x)=-6[/tex] [tex]\lim _{x \rightarrow 3^{+}} f(x)=-6[/tex] B. [tex]\lim _{x \rightarrow 3^{-}} f(x)=-6[/tex] [tex]\lim _{x \rightarrow 3^{+}} f(x)=17[/tex] C. [tex]\lim _{x \rightarrow 3^{-}} f(x)=17[/tex] [tex]\lim _{x \rightarrow 3^{+}} f(x)=-6[/tex] D. [tex]\lim _{x \rightarrow 3^{-}} f(x)=17[/tex] [tex]\lim _{x \rightarrow 3^{+}} f(x)=17[/tex]

[Done] Which functions are odd? Choose two correct answers. [tex]f(x)=4 x+9[/tex] [tex]f(x)=\frac{1}{x}[/tex] [tex]f(x)=x^3-x^2[/tex] [tex]f(x)=x^5-3 x^3+2 x[/tex]

[Done] Study the solutions of the three equations on the right. Then, complete the statements below. There are two real solutions if the radicand is $\square$ There is one real solution if the radicand is $\square$ There are no real solutions if the radicand is $\square$ 1. $y=-16 x^2+32 x-10$ $x=\frac{-32 \pm \sqrt{384}}{-32}$ 2. $y=4 x^2+12 x+9$ $x=\frac{-12 \pm \sqrt{0}}{8}$ 3. $y=3 x^2-5 x+4$ $x=\frac{5 \pm \sqrt{-23}}{6}$

[Done] 4) [tex]$\left(2^{-4}\right)^{-3}$[/tex]

[Done] When writing a thank-you message, you should begin by A. thanking the reader B. asking a question C. advertising other services D. discussing your qualifications

[Done] Which graph matches the equation $y+3=2(x+3)$?

[Done] Which of the following characteristics are shared by all living things? Select all that apply. the ability to acquire energy the ability to use energy the ability to use energy for movement the ability to convert solar energy into chemical energy

[Done] A 50-year-old woman has hot flashes and mood swings. Labs show low estradiol and high FSH. No visual changes or nipple discharge are reported. Which dysfunction best fits her findings? A) Pituitary suppression reducing hormone output B) Ovarian failure reducing hormonal feedback C) Prolactin excess lowering estrogen levels D) Thyroid activity causing menstrual disruption

[Done] Which of the following refers to the expected effect that exercise has on the heart?

[Done] What effect does a convex lens have on distant objects? a. It makes them appear larger and clearer b. It blocks light from passing c. It spreads light rays from the object d. It makes them appear smaller