📘 precalculus

1. **Problem Statement:** We are asked to identify the terminal side of the angle \(\angle ABF\) which measures 225°. 2. **Understanding the Angle:** The angle is formed at point B

1. **State the six trigonometric functions for point (-5, -12):** - Step 1: Calculate the radius $r = \sqrt{x^2 + y^2} = \sqrt{(-5)^2 + (-12)^2} = \sqrt{25 + 144} = \sqrt{169} = 13

1. **Problem Statement:** Given the graph of a function $f$ with points at $(-3,1)$, $(0,-1)$, $(1,2)$, and $(3,1)$, estimate the domain, range, and intervals where $f$ is increasi

1. Write the equation of the hyperbola with center $(4,-3)$, horizontal transverse axis length $5$, conjugate axis length $4$. Step 1: Center $(h,k)=(4,-3)$, transverse axis length

A. Problem 1: Given center $(4,-3)$, horizontal transverse axis length $5$, conjugate axis length $4$. 1. The transverse axis length $= 2a = 5 \implies a=\frac{5}{2} = 2.5$.

1. **Graphs of Functions**: A function is a rule that assigns each input exactly one output. The graph of a function is the set of all points $(x, y)$ where $y = f(x)$. To graph a

1. **State the problem:** Determine the domain, range, and whether each given graph represents a function. - **Top-left graph:** Vertical asymptote near $x=2$ and horizontal asympt