Do Now 4/2/19 Take out HW from last night. Copy HW in your planner. Puzzle Time worksheet 8.5 Copy HW in your planner. Text p. 465, #6-28 evens Quiz sections 8.4-8.6 Thursday Chapter 8 Test Tuesday In your notebook, write a cubic function in Intercept form and Standard form with the following points. (-3, 0), (3, 0), (0, 0) and (-1, 2).

y = a(x – p)(x – q)(x – r) 2 = a(-1 + 3)(-1 - 3)(-1 –0) On Your Own Write a cubic function that passes through the points (-3, 0), (3, 0), (0, 0) and (-1, 2). y = a(x – p)(x – q)(x – r) 2 = a(-1 + 3)(-1 - 3)(-1 –0) 2 = a(2)(-4)(-1) 2 = 8a Intercept form 1/4 = a y = 1/4x(x+3)(x – 3) Standard form y = 1/4x(x2 – 9) y = 1/4x3 – 9/4x

Homework Puzzle Time worksheet 8.5 What Did One Wall Say to the Other? MEET YOU AT THE CORNER

Learning Goal Learning Target SWBAT graph quadratic functions SWBAT choose functions to model data and write functions to model data

Section 8.6 “Comparing Linear, Exponential, and Quadratic Functions” y = mx + b y = ax2+bx+c y = abx

Plot the points. Tell whether the points appear to represent a linear, exponential, or quadratic function. (4, 4), (2, 0), (0, 0), (1, -0.5), (-2, 4) (0, 1), (2, 4), (4, 7), (-2, -2), (-4, -5) (0, 2), (2, 8), (1, 4), (-1, 1), (-2, 0.5)

On Your Own Plot the points. Tell whether the points appear to represent a linear, exponential, or quadratic function. (-1, 5), (2, -1), (0, -1), (3, 5), (1, -3) (-1, 2), (-2, 8), (-3, 32), (0, 1/2), (1, 1/8) (-3, 5), (0, -1), (2, -5), (-4, 7), (1, -3)

Linear Functions Remember this??? pattern in which the difference between consecutive terms is the same. This difference is called the common difference.

Exponential Functions Remember this??? Exponential Functions pattern in which the ratio between each pair of consecutive terms is the same. This ratio is called the common ratio.

Comparing Linear, Exponential, and Quadratic Functions Differences and Ratios Linear Function the first differences are constant y = mx + b Exponential Function consecutive y-values are common ratios y = abx Quadratic Function the second differences are constant y = ax2+bx+c

The first differences are constant. Therefore, the function is linear. Tell whether each table represents a linear, exponential, or quadratic function. The first differences are constant. Therefore, the function is linear.

Tell whether each table represents a linear, exponential, or quadratic function. The second differences are constant. Therefore, the function is quadratic.

Tell whether each table represents a linear, exponential, or quadratic function. Consecutive y-values have a common ratio. Therefore, the function is exponential.

On Your Own Tell whether each table represents a linear, exponential, or quadratic function.

y = a(x – p)(x – q) y = a(x - 4)(x - 8) 12 = a(2 - 4)(2 - 8) Tell whether the table represents a linear, exponential, or quadratic function. Then write the function. The second differences are constant. Therefore, the function is quadratic. y = a(x – p)(x – q) y = a(x - 4)(x - 8) 12 = a(2 - 4)(2 - 8) y = 1(x - 4)(x - 8) 12 = a(-2)(-6) y = x2 -12x + 32 12 = 12a 1 = a

are constant. Therefore, the function is linear. Tell whether the table represents a linear, exponential, or quadratic function. Then write the function. The first differences are constant. Therefore, the function is linear. Common difference (slope) Y-value when x = 0.

Tell whether the table represents a linear, exponential, or quadratic function. Then write the function. Consecutive y-values have a common ratio. Therefore, the function is exponential. Y-value when x = 0. Commonratio.

Homework Text p. 465, #6-28 evens