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Home Question Bank Math Pre Calculus Archive 2024 December 19

Pre-calculus Questions from Dec 19,2024

Browse the Pre-calculus Q&A Archive for Dec 19,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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\( | \frac { 2 } { \sqrt { x } } | < \varepsilon \) Part 1 of 4 Use a table of values to estimate the intercepts and turning points of the function. Then graph the function. \( f(x)=x^{3}+3 x^{2}-x-3 \) Use the leading coefficient test to determine whether \( y \rightarrow \infty \) or \( y \rightarrow-\infty \) as \( x \rightarrow \infty \) for the function. \( y=-10 x^{7}-x^{2}+5 \) Exercice Soient \( f \) et \( g \) deux fonctions définies par: \( f(x)=x^{2}-2 x+3 \) et \( g(x)=\sqrt{x+1} \) 1 Donner les tableaux de variations des fonctions \( f \) et \( g \). 2 Représenter les courbes représentatives \( \left(C_{f}\right) \) et \( \left(C_{g}\right) \) dans un repère orthonormé \( (O, \vec{i}, \vec{j}) \) 3 Déterminer graphiquement \( g([-1 ; 0]) \) et \( g([0 ;+\infty \mid) \) The graph of \( y=f(x) \) is shown below Draw the graph of \( y=\frac{1}{2} f(x) \). 26. Which two transformations can be used to obtain the graph of \( g(x) \) - graph of \( f(x)=\sqrt{x} \) ? A) A translation to the right 7 units followed by a reflection across the \( x \)-axis. B) A translation to the left 7 units followed by a reflection across the \( x \)-axis. C) A translation to the right 7 units followed by a reflection across the \( y \)-axis. D) A translation to the left 7 units followed by a reflection across the \( y \)-axis. Graph the exponential function \( g(x)=2^{x}+1 \). To do this, plot two points on the graph of the function, and also draw the asymptote. Then click on the graph-a-function button, Additionally, give the domain and range of the function using interval notation. 1.2 If \( f(x)=\frac{\sqrt{x+2}}{3-3 x^{2}} \), for which values of \( x \) is \( \begin{array}{ll}1.2 .2 & f(x) \text { non real. } \\ 1.2 .3 & f(x) \text { undefined } \\ 1.2 .4 & f(x)>0\end{array} \) Question 8 Select the graph of \( f(x)=\left\{\begin{array}{ll}-2 & \text { if } x \leq 0 \\ x+1 & \text { if } x>1\end{array}\right. \) 2. Describe the transformation from \( f(x) \) to \( g(x) \), \[ f(x)=\sqrt{x} \] \[ g(x)=-\sqrt{x-2}+3 \] A. Left 2 units, reflected across \( x \)-axis, down 3 units B. Right 2 units, reflected across \( y \)-axis, down 3 units C. Left 3 units, reflected across \( y \)-axis, down 2 units D. Right 2 units, reflected across \( x \)-axis, up 3 units.
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