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Warm-up

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Warm-up

Solve each equation. Check!!

1.2.

3.4.

Warm-up

Solve each equation. Check!!

1.

-42

-6

7

1

42 – x

x2 =

(x – 6)(x + 7) = 0

-42 + x -42 + x

x – 6 = 0

x + 7 = 0

x2 + x – 42 = 0

x = 6

x = -7

Warm-up

Solve each equation. Check!!

1.

check x = 6 & -7

6 = 6

-7 = 7

✔

extraneous

Warm-up

Solve each equation. Check!!

2.

-6

2

-3

-1

x + 6

x2 =

(x + 2)(x – 3) = 0

-x – 6 -x – 6

x + 2 = 0

x – 3 = 0

x2 – x – 6 = 0

x = -2

x = 3

Warm-up

Solve each equation. Check!!

2.

check x = -2 & 3

-2 = 2

3= 3

✔

extraneous

Warm-up

Solve each equation. Check!!

3.

2

-1

-2

-3

3x – 2

x2 =

(x – 1)(x – 2) = 0

-3x + 2 -3x + 2

x – 1 = 0

x – 2 = 0

x2 – 3x + 2 = 0

x = 1

x = 2

Warm-up

Solve each equation. Check!!

3.

check x = 1 & 2

1 = 1

2= 2

✔

✔

Warm-up

Solve each equation. Check!!

4.

1

-1

-1

-2

-1 + 2x

x2 =

(x – 1)(x – 1) = 0

+1 – 2x +1 – 2x

x – 1 = 0

x – 1 = 0

x2 – 2x + 1 = 0

x = 1

x = 1

Warm-up

Solve each equation. Check!!

4.

check x = 1

1 = 1

✔

Section 10.5

Graphing Square Root Functions

Standards: 17.0

Objective: I will graph square root functions by making a table of values.

Find the Domain:

Remember: Square roots can’t be negative.

Make the radicand greater than or equal to 0.

Solve that inequality.

Example 1:

x + 9 > 0

-9 -9

x> -9

Example 2:

3x – 6 > 0

+6 +6

3x > 6

x> 2

3 3

Example 3:

2x > 0

x> 0

2 2

Example 4:

2x + 1 >0

-1 -1

2x > -1

2 2

Steps:

Find the domain (make the radicand > 0 and solve for x).

Make a table of values. Use the value of x found in #1.

Find at least five points.

Plot your points.

Example 1:

3

0

x – 3 > 0

4

1

+3 +3

5

1.4

x> 3

6

1.7

7

2

Example 1:

(3, 0)

(4, 1)

(5, 1.4)

(6, 1.7)

(7, 2)

Example 2:

-2

0

x + 2 > 0

-1

1

-2 -2

0

1.4

x> -2

1

1.7

2

2

Example 2:

(-2, 0)

(-1, 1)

(0, 1.4)

(1, 1.7)

(2, 2)

Example 3:

0

2

0 + 2

x> 0

1

3

1 + 2

2

3.4

1.4 + 2

3

3.7

1.7 + 2

4

4

2 + 2

Example 3:

(0, 2)

(1, 3)

(2, 3.4)

(3, 3.7)

(4, 4)

Example 4:

0

-4

0 – 4

x> 0

1

-3

1 – 4

2

-2.6

1.4 – 4

3

-2.3

1.7 – 4

4

-2

2 – 4

Example 4:

(0, -4)

(1, -3)

(2, -2.6)

(3, -2.3)

(4, -2)