Do Now 5/1/24

What are the x-intercepts for g(x) = (x + 8)(x + 2)

• 8 and 2

• (8, 2)

• -8 and - 2

• (-8, -2)

Answer explanation

The x-intercepts are the values of x when g(x) equals zero. Setting g(x) = 0, we get (x + 8)(x + 2) = 0. Solving for x gives x = -8 and x = -2, so the x-intercepts are -8 and -2.

What are the factors AND solutions of x² + 2x – 3 = 0

• (x - 2)(x + 1); x=2, x=-1

• (x + 1)(x - 3); x=-1, x=3

• (x + 2)(x - 1); x=-2, x=1

• (x - 1)(x + 3); x=1, x=-3

Answer explanation

Factor by using the diamond method to get the factors. Set the factors equal to zero and solve. These are the solutions.

Or you can use DESMOS!!!

The factors of x^2 + 2x - 3 = 0 are (x - 1)(x + 3), and the solutions are x=1, x=-3.

Find the range values for f(x) = 3x + 5 if the domain is {-1, 4, 6, 10}

• {2, 27, 33, 55}

• {-2, 1/3, 2/3, 5/3}

• {2, 17, 23, 35}

• {-2, 3, 5, 11}

Answer explanation

To find the range, substitute each value in the domain into f(x) = 3x + 5. The resulting values are {2, 17, 23, 35}, which represent the range values for the function.

Calculate the Curve of Best Fit for this table of values:

• y = 2x² - 9x + 10

• y = 3x² + 9x - 10

• y = 3.1x² - 9.2x - 10.3

• y = 2.1x² - 8.6x + 10.1

Answer explanation

Plot the table and then input y1~ax1^2 + bx1 + c into DESMOS. The correct choice is y = 2.1x^2 - 8.6x + 10.1 as it best fits the given table of values.

Mathematical Equivalence

ON

Answer explanation

Use D-C-O

1. 1. Distribute

2. 2. Combine Like Terms

3. 3. Opposites (Move the variables to one side and the constants to the other side.

Which relation is NOT a function?

• {(1,-5), (3,1), (-5,4), (4,-2)}

• {(2,7), (3,7), (4,7), (5,8)}

• {(1,-5), (-1,6), (1,5), (6,-3)}

• {(3,-2), (5,-6), (7,7), (8,8)}

Answer explanation

The relation {(1,-5), (-1,6), (1,5), (6,-3)} is not a function because the input value 1 is associated with multiple output values (-5, 5) which violates the definition of a function.