7.5 Graphing Square Root & Cube Root Functions Obj: graph square root functions, state domain and range Do now: What is domain and range? Domain – the set of input values, x that “make sense” Range – the set of output values, y

Use your calculator to graph. Leave this equation on the screen and graph the other equations below. Notice how each coefficient affects the original graph. (0, 0) (1, 2) (0, 0) (1, 3) (0, 0) (1,.5) (0, 0) (1, -2) Always goes thru the points (0,0) and (1,a)

Use your calculator to graph. Leave this equation on the screen and graph the other equations below. Notice how the original graph is affected. Shift h units horizontally (opposite sign) and k units vertically (same sign). right 5 left 3 up 4 down 2 right 4, up 2 left 5, up 1

Ex 1: Graph x y Now, shift these points: x – 4 and y – 1 x y left 4down 1

Hw:

Do Now: State the domain and range of the function in Ex 1. x-valuesy-values Domain:Range: Look! The graph had a beginning point of (-4,-1) continued…. Obj: graph cube root functions, state domain and range

Use your calculator to graph. Leave this equation on the screen and graph the other equations below. Notice how each coefficient affects the original graph. (0, 0) (1, 2) (-1, -2) Always goes through (0,0) (1,a) and (-1,-a) (0, 0) (1, 4) (-1, -4) (0, 0) (1, -2) (-1, 2) (0, 0) (1, 1) (-1, -1)

Ex 2: Describe how to obtain the graph of from the graph of Shift all the points from right 2 and up 1. Ex 3: Describe how to obtain the graph of from the graph of right 2 up 1 Shift all the points from left 6 and down 2

Ex 4: Graph x y Now, shift these points: x + 3 and y + 2 right 3up 2 x y

Domain:Range: The graph doesn’t have a beginning or ending point. (this means all x & y-values are possible) Ex 5: State the domain and range of the function in Ex 4. DO NOT COPY COPY