Question

Given a verbal description, how do you interpret key features of functions and graphs?

Answer 1

Answer:

A linear function can be written in the slope intercept form or a point slope form of a line. Where a table is given for values representing the function, the ordered pairs will represent points on the line.The gradient of the line is a ratio of rise to run from the table values.In slope intercept form, the gradient and initial value of the function are indicated.

For example in a function f(x)=mx+b , m is the gradient of the line and b is the y-intercept value of the function.

To find the slope, m, you divide the difference between y-values by the difference in corresponding x-values of any two points on the line.

A decreasing linear function has a negative slope; if m<0 then f(x)=mx+c is decreasing

An increasing linear function has a positive slope where m>0.

Step-by-step explanation:

Answer 2

Answer:

Interpret functions that arise in applications in terms of the context. For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship.

Step-by-step explanation:

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