1. EXAMPLE 1 Graph y = b for b > 1 x SOLUTION Make a table of values.STEP 1 STEP 2 Plot the points from the table. Graph y =. x 2 STEP 3 Draw, from left to right, a smooth curve that begins just above the x -axis, passes through the plotted points, and moves up to the right.

2. EXAMPLE 2 Graph y = ab for b > 1 x Graph the function. a. y = 4 1 2 SOLUTION Plot and (1, 2).Then, from left to right, draw a curve that begins just above the x -axis, passes through the two points, and moves up to the right. 0, 1 2 a. x

3. EXAMPLE 2 Graph the function. Graph y = ab for b > 1 x b. y = – 5 2 x Plot (0, –1) and. Then,from left to right, draw a curve that begins just below the x -axis, passes through the two points,and moves down to the right. b.b. 1, – 5 2 SOLUTION

4. EXAMPLE 3 Graph y = ab + k for b > 1 x–hx–h Graph y = 4 2 – 3. State the domain and range. x – 1 SOLUTION Begin by sketching the graph of y = 4 2, which passes through (0, 4) and (1, 8). Then translate the graph right 1 unit and down 3 units to obtain the graph of y = 4 2 – 3.The graph’s asymptote is the line y = –3. The domain is all real numbers, and the range is y > –3. x x – 1

5. GUIDED PRACTICE for Examples 1, 2 and 3 Graph the function. State the domain and range. 1. y = 4 x

6. GUIDED PRACTICE for Examples 1, 2 and 3 Graph the function. State the domain and range. 2. y = 3 2 3 x

7. GUIDED PRACTICE for Examples 1, 2 and 3 Graph the function. State the domain and range. 3. f (x) = 3 + 2 x + 1