Function f(x)=√x-4 F¹(x) = x² + 4, x 20 Find the slope of the graph of f at the point (5, 1). Point (5, 1) (1,5) Find the slope of the graph of f at the point (1, 5). Are the slopes of the graphs of f at the point (5, 1) and f-1 at the point (1, 5) reciprocals of one another? O Yes, the slopes are reciprocals of one another. O No, the slopes are not reciprocals of one another. Need Help? Read It

Use the graph of y = f(x) to graph the function y = 1 Point on f(x) Point on f(1- -x) 2 1 2 ² (-4,-1) (-3,3) (0,0) (1,2) (2,-2) (Type ordered pairs.) 1 For each point for f(x), determine the corresponding point for y=f(1-x). f(1-x). C 10 y = f(x) Ay 10- M 10 X <^ HO

Describe the graph of f(x) = ex

Level curves (isothermals) are shown for the water temperature (in °C) in Long Lake (Minnesota) in 1998 as a function of depth and time of year. Estimate the temperature in the lake on October 7 (day 280) at a depth of 5 m and on June 9 (day 160) at a depth of 10 m. X°C (day 280 and depth 5 m) X°C (day 160 and depth 10 m) Enter a number. Depth (m) 0 sti 10- 15+ 12 16 + 120 20 160 20 Day of 1998 16 200 240 280

8. Which of the following equations do NOT represent functions of x? Explain. •a {(-2,5), (1,3),(3,7),(4,25),(3,-1)} •b y=x^3+20 •c y^2=x •d y=|x+7|

Consider the function f(x) = x². Find all lines tangent to the graph of f which pass through the point (1, -3). Each line should be written in slope-intercept form.