Question

y = | 3x - 4 |
Please draw the graph of this function.
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Answer 1

Answer:

y - 12 answer

Step-by-step explanation:

please ❤️❤️❤️❤️❤️ follow

Answer 2

$\large\underline{\sf{Solution-}}$

Given function is

$\rm :\longmapsto\:y = |3x - 4|$

Let first define the function,

We know that,

$\begin{gathered}\begin{gathered}\rm :\longmapsto\:\bf\: |x| = \begin{cases} &\sf{ \: \: x \: \: \: when \: x \geqslant 0} \\ &\sf{ - x \: \: when \: x < 0} \end{cases}\end{gathered}\end{gathered}$

So,

$\begin{gathered}\begin{gathered}\rm :\longmapsto\:\bf\: |3x - 4| = \begin{cases} &\sf{ \: \: 3x - 4 \: \: \: when \: 3x - 4\geqslant 0} \\ &\sf{ - 3x + 4 \: \: when \: 3x - 4 < 0} \end{cases}\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\rm :\longmapsto\:\bf\: |3x - 4| = \begin{cases} &\sf{ \: \: 3x - 4 \: \: \: when \: x\geqslant \dfrac{4}{3} } \\ \\ &\sf{ - 3x + 4 \: \: when \: x< \dfrac{4}{3} } \end{cases}\end{gathered}\end{gathered}$

So,

$\begin{gathered}\begin{gathered}\bf\implies \:\bf\: y = \begin{cases} &\sf{ \: \: 3x - 4 \: \: \: when \: x\geqslant \dfrac{4}{3} } \\ \\ &\sf{ - 3x + 4 \: \: when \: x< \dfrac{4}{3} } \end{cases}\end{gathered}\end{gathered}$

Case :- 1

$\rm :\longmapsto\:y = 3x - 4$

Hᴇɴᴄᴇ,

➢ Pair of points of the given equation are shown in the below table.

$\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 2 & \sf 2 \\ \\ \sf 3 & \sf 5\\ \\ \sf 4 & \sf 8 \end{array}} \\ \end{gathered}$

➢ Now draw a graph using the points.

➢ See the attachment graph.

Case :- 2

$\rm :\longmapsto\:y = - 3x + 4$

Hᴇɴᴄᴇ,

➢ Pair of points of the given equation are shown in the below table.

$\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 1 & \sf 1 \\ \\ \sf 0 & \sf 4\\ \\ \sf - 1 & \sf 7 \end{array}} \\ \end{gathered}$

➢ Now draw a graph using the points.

➢ See the attachment graph.