Question 35

Solving Radical Equations Graphically

Given the function f(x) = 3√√4 + 2x find x when f(x) = 18 using your graphing calculator. Then

follow the steps below to show the intersection graph on the computer. [Hint: Use the following

window on your graphing calculator: Xmin = -4, Xmax = 18, Ymin = -2, Ymax =20]

1. Write the point of intersection as an ordered pair below. Round the value of x to two decimal

places as needed. If the point of intersection does not exist, enter DNE

18.

2. Use the Line Tool to draw the Horizontal Line y

3. Use the Square Root Tool to draw f(x) = 3√4 + 2x. To draw this function, first plot the

point furthest to the left, followed by one more point.

4. Use the Point Tool to identify the point of intersection if it exists.

20+

19

18

17

16

15

14

Wo A

-4 -3 -2 -1

Point of Intersection:

13

12

11

10

9

8

N

7

s6 s6

5

4

3

S

<

2

>

27

1

-1

-2

3√4 + 2x

2 3 4

Clear All Draw:

=

18

8 9 10 11 12 13 14 15 16 17 18