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Home Question Bank Math Pre Calculus Archive 2024 November 21

Pre-calculus Questions from Nov 21,2024

Browse the Pre-calculus Q&A Archive for Nov 21,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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What is the range of \( y=-5 \sin (x) \) ? all real numbers \( -5 \leq y \leq 5 \) all real numbers \( -\frac{5}{2} \leq y \leq \frac{5}{2} \) all real numbers \( -1 \leq y \leq 1 \) all real numbers \( -\frac{1}{5} \leq y \leq \frac{1}{5} \) State the equation of \( f(x) \) if its domain is \( \{x \in R \mid x \neq 0\} \), the \( y \)-intercept does not exist, and the equation of the horizontal asymptote is \( y=1 \). Find Domain of the following: \( h(x)=\frac{x}{\ln x} \) A) \( R \) B) \( R-\{0\} \) C) \( ] 0, \infty[ \) D) \( ] 0,1[U] 1, \infty[ \) State the equation of \( f(x) \) if its domain is \( \{x \in R \mid x \neq 0\} \), the \( y \)-intercept does not exist, and the equation of the horizontal asymptote is \( y=1 \). Find Domain of the following: \( h(x)=\frac{x}{\ln x} \) A) \( R \) B) \( R-\{0\} \) C) \( ] 0, \infty[ \) D) \( ] 0,1[\mathrm{U}] 1, \infty[ \) Question 7 (1 point) State the equation of \( f(x) \) if its domain is \( \{x \in R \mid x \neq 0\} \), the \( y \)-intercept does not exist, and the equation of the horizontal asymptote is \( y=1 \). State the equation of \( f(x) \) if the vertical asymptote is \( x=3 \), the horizontal asymptote is \( y=1 \), the \( x \)-intercept is \( (0,0) \) and the \( y \)-intercept is \( (0,0) \). When calculating for the asymptotes of \( f(x)=\frac{x^{2}-9}{x-5} \), it turns out that there is no horizontal asymptote because: When calculating for the asymptotes of \( f(x)=\frac{x^{2}-9}{x-5} \), it turns out that there is no horizontal asymptote because: Given the vector \( \vec{u}=(-5,4) \), find the magnitude and angle in which the vector points (measured counterclockwise from the positive \( x \)-axis, \( 0 \leq \theta<2 \pi \) )
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