Salazar Page
07/17/2023 · Junior High School
\( 5 \quad \) List the domain and the \( x \) - and \( y \)-intercepts of the following function. Graph the function. \[ f(x)=\frac{2}{(x-5)^{2}} \]
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Domain: \( (-\infty, 5) \cup (5, \infty) \)
\( x \)-intercepts: None
\( y \)-intercept: \( \left(0, \frac{2}{25}\right) \)
Graph: Plot the \( y \)-intercept, draw a vertical asymptote at \( x = 5 \), and sketch the curve approaching the asymptote from both sides while decreasing towards the \( x \)-axis as \( x \) moves away from 5.
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