/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 39 Graph the function. $$ f(x)=... [FREE SOLUTION] | 91影视

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Chapter 4: Problem 39

Graph the function. $$ f(x)=4 x+1 $$

Short Answer

Expert verified
The graph of the function \(f(x)=4x+1\) is a straight line with a slope of 4 and a y-intercept of 1.

Step by step solution

01

Identify the slope and y-intercept

The function \(f(x)=4x+1\) is in the form \(y=mx+b\) where \(m\) is the slope and \(b\) is the y-intercept. Here, \(m=4\) and \(b=1\). So, the slope of the line is 4 and it intersects the y-axis at \(y=1\).
02

Plot the y-intercept

Start by plotting the point where the line intersects the y-axis, that is \(y = 1\). This is plotted on the line \(y\) (vertical axis).
03

Plot the slope

The slope or gradient of the line is 4, indicating that for every unit increase in \(x\), \(y\) increases by 4. From the y-intercept, move 1 unit to the right and 4 units up and draw a point.
04

Draw the line

Now draw a straight line that passes through the two points that have been plotted.

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