My name is Kyle Christian and I am a Math teacher. My full-time position is at Blue Springs South High School where I have taught Geometry, Algebra 2, College Algebra and Statistics. This year I will be reaching BC Calculus. I also teach through MCC-Penn Valley as a night time adjunct instructor.
Sketch the graph of a function $f$ that is continuous on $[1,5]$ and has the given properties.Absolute minimum at $2,$ absolute maximum at $3,$ local minimum at 4
Sketch the graph of a function $f$ that is continuous on $[1,5]$ and has the given properties.Absolute minimum at $1,$ absolute maximum at $5,$ local maximum at $2,$ local minimum at 4
Sketch the graph of a function $f$ that is continuous on $[1,5]$ and has the given properties.$f$ has no local maximum or minimum, but 2 and 4 are critical numbers
(a) Sketch the graph of a function on $[-1,2]$ that has an absolute maximum but no absolute minimum.(b) Sketch the graph of a function on $[-1,2]$ that is discontin- uous but has both an absolute maximum and an absolute minimum.
Sketch the graph of $f$ by hand and use your sketch to find the absolute and local maximum and minimum values of $f .$ (Use the graphs and transformations of Sections 1.2 and $1.3 .$ )$f(x)=3-2 x, \quad x \leqslant 5$
Sketch the graph of $f$ by hand and use your sketch to find the absolute and local maximum and minimum values of $f .$ (Use the graphs and transformations of Sections 1.2 and $1.3 .$ )$f(x)=x^{2}, \quad 0< x<2$
For the following exercise, consider the following scenario:A school is installing a flagpole in the central plaza. The plaza is a square with side length 100 yd as shown in the figure below. The flagpole will take up a square plot with area $x^{2}-6 x+9 y \mathrm{d}^{2}$.Find the length of the base of the flagpole by factoring.
