Modeling Data with Functions

Modeling Data with Functions

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Patricia Brown

FREE Resource

The video tutorial explains how to determine if data in a table can be modeled by a linear, quadratic, or exponential function. It covers checking for constant differences in X values, calculating first and second differences for linear and quadratic functions, and using ratios for exponential functions. The tutorial provides examples and explains the significance of constant differences and ratios in identifying the appropriate function model.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in determining if data can be modeled by a specific function?

Check if differences in X values are constant

Check if differences in Y values are constant

Check if X values are constant

Check if Y values are constant

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you tell if a set of data is best modeled by a linear function?

The X values are decreasing

The ratios of Y values are constant

The first differences in Y values are constant

The second differences in Y values are constant

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean if the first differences in Y values are not constant?

The data is quadratic

The data is linear

The data is exponential

The data is not linear

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What indicates that a quadratic function best models the data?

Ratios of Y values are constant

Second differences are constant

First differences are constant

X values are constant

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the second differences in Y values are not constant, what can be concluded?

The data is linear

The data is exponential

The data is quadratic

The data is not quadratic

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you determine if data is best modeled by an exponential function?

First differences are constant

Second differences are constant

Ratios of consecutive Y values are constant

X values are decreasing

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a constant ratio of consecutive Y values suggest?

The data is linear

The data is quadratic

The data is exponential

The data is constant

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