warm-up after 7.4

Let f(x) = 2x - 5 and g(x) = -3x + 4.

2. the inverse of g1. f(g(x)) =

Find...

3. the vertex of the parabola y = (x – 3)2 + 8

Algebra 2 - Section 7.5Graphing Square Root & Cube Root Functions

Objectives:Graph square root & cube root functions.[F.IF.7b & F.BF.3]

Graph y = √x

x y

Parent Functions for Square Root & Cube Root Functions

Domain:

Range:

Graph y = ∛x

x y

Domain:

Range:

Graph y = 2√x . State the domain & range.

x y

Domain:

Range:

To graph y = a√x - h + k or y = a∛x - h + k

1. Sketch the graph of y = a√x or y = a∛x. (Parent function)

2. Shift the graph h units horizontally & k units vertically.

y = √x + 1 + 31.

Graph each function by first graphing the parent function. Then state the domain & range.

Domain:

Range:

y = -2√x - 3 + 22.

Domain:

Range:

y = ∛x + 3 - 53.

Domain:

Range:

y = 3∛x + 4 - 14.

Domain:

Range:

Assignment: 7.5 worksheet