1. Lesson 2-1

2. Solve.
1. √(4-3x) = 5 x = √(x2 – 1) = 2 x = ±3 3. (15-x)3/2 = 27 x = 6 4. x – 2 = √x x = 4 (x = 1 does not check) 5. 2x = √(28x + 29) – 3 x = -1 or x = 5 6. √(x-3) + √(x+4) = 7 x = 12

3. Power Functions
Can be written as f(x) = axn ; a and n are both non-zero real numbers If n is a positive integer these are called monomial functions. Graph f(x) = x2, f(x) = x4, f(x) = x6. Graph f(x) = x3, f(x) = x5, f(x) = x7. What effect does a (positive or negative) have on these graphs?

4. Now let’s graph some functions where n is a negative integer.
Graph f(x) = x-2. Use the concepts of domain, range, and end behavior to help sketch the graph.
Graph f(x) = x-3. Use the same concepts listed above.
What effect does a (positive or negative) have on these graphs? How is each like or unlike f(x) = 1/x?

5. Now let’s graph some functions where n is a rational number in the form p/q.
How is the domain restricted if q is even? How does the graph change if p < q or p < q?
Now graph f(x) = x3/2, f(x) = x3/4, and f(x) = x2/3.

6. Radical Functions
Graph f(x) = √x, f(x) = 4√x, f(x) = 6√x. What is the domain for each of these functions?
Now graph f(x) = 3√x, f(x) = 5√x, f(x) = 7√x. What is the domain for each of these functions?
Graph the function f(x) = -4 5√(x- 2). State the domain and range. Find the x and y-intercepts.

7. Power Regression
Do example 4 on page 89.