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Question Group Info

This question group is public and is used in 2 tests.

Author: nsharp1
No. Questions: 3
Created: Mar 3, 2020
Last Modified: 4 years ago

Writing Function Rules from Tables

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The values in the table come from a function, either linear, quadratic, or exponential. If it is an exponential function, assume that it is of the form

$f(x) = a b^(x)$ , where

$a, b in RR, b!=0,1$ .

$\ \ \ \ \ \ \ \ \ mathbf{x} \ \ \ \ \ \ \ \ \$	$\ \ \ \ \ \ -2 \ \ \ \ \ \$	$\ \ \ \ \ \ -1 \ \ \ \ \ \$	$\ \ \ \ \ \ 0 \ \ \ \ \ \$	$\ \ \ \ \ \ 1 \ \ \ \ \ \$	$\ \ \ \ \ \ 2 \ \ \ \ \ \$
$\ \ \ \ \ \ \ \ \ \mathbf{f(x)} \ \ \ \ \ \ \ \ \$	$1.25$	$2.5$	$5$	$10$	$20$

Grade 10 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a

Using the differences of y-values, or the differences of the differences, determine whether the function values in the table are from a linear, quadratic, or exponential function.

Linear
Quadratic
Exponential

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a

Given the answer in the previous question, how many points are needed to determine the function rule that describes the values?

2
3
4
All of them.

Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a

Find the function rule that describes the data from the table.