Chapter 10: Radical Functions and Geometry

Tangents and normals

Notice that the equation of the given curve can be written in the alternative form y = 4 x A graph of the function y = 4 x is shown in Figure 3 x y xy = 4 2 2 normal tangent Figure 3 A graph of the curve xy = 4 showing the tangent and normal at x = 2 From the graph we can see that the normal to the curve when x = 2 does indeed meet the curve

y Q Secant line P Tangent line f(x)

the graph of f(x) as Q approaches P The tangent line touches the graph at (x 0,f(x 0)); the slope of the tangent line matches the direction of the graph at that point The tangent line is the straight line that best approximates the graph at that point Given a graph of our function, it’s not hard for us to draw the tangent line to the graph

Trigonometry Graphs Review - White Plains Public Schools

Part II: Graphing For each question in this section, make a table of values and graph the equations Answer any questions that follow 9 Graph the equation y 2sinx 1 in the interval - ≤ x ≤ Show work here 10 Graph the equation y cos2x in the interval 0 ≤ x ≤ 2π Show work here

FIFC7: Graphing Trigonometric Functions 4

graph of the equations y =2cosx in the interval −π≤x ≤π b On the same set of axes, reflect the graph drawn in part a in the x-axis and label it b c Write an equation of the graph drawn in part b d Using the equation from part c, find the value of y when x = π 6

Algebra Trigonometry

equation équation formula formule function fonction graph graphique / graphe interpretation interprétation logical argument argument logique mathematical representation représentation mathématique numerical tables tableaux numériques organize organiser outline contour / tracer le contour