I just completed my 11th year teaching high school math. I have been the instructional coach for my campus for four years- providing PD and curriculum support to the math department in addition to teaching two classes of my own. My areas of interest are vertical alignment, building number sense, and discovery learning through patterns and connections.
Jeff finds that an office building casts a shadow that is 93 ft long when the angle of elevation to the sun is $60^{\circ} .$ What is the height of the building?(F) 54 feet(G) 81 feet(H) 107 feet(J) 161 feet
Identify any vertical asymptotes, horizontal asymptotes, and holes.$$f(x)=\frac{2(x+4)(x+2)}{5(x+2)(x-1)}$$
Find the oblique asymptote, and sketch the graph of $f$.$$f(x)=\frac{x^{2}-x-6}{x+1}$$
Find an equation of a rational function $f$ that satisfies the given conditions.vertical asymptote: $x=5$ horizontal asymptote: $y=-1$$x$ -intercept: 2
Find an equation of a rational function $f$ that satisfies the given conditions.vertical asymptotes: $x=-1, x=3$ horizontal asymptote: $y=2$ $x$ -intercepts: $-2,1 ;$ hole at $x=0$
$f(x)=\log _{3}(x+5)$ and $g(x)=\log _{3}(x-1)$(a) Solve $f(x)=2$. What point is on the graph of $f ?$(b) Solve $g(x)=3$. What point is on the graph of $g$ ?(c) Solve $f(x)=g(x)$. Do the graphs of $f$ and $g$ intersect? If so, where?(d) Solve $(f+g)(x)=3$.(e) Solve $(f-g)(x)=2$.
