Question

Can someone please help me with this question!!!.

which graph shows y=3[x]-4?​

Answer 1

Option 4

Explanation:

The most famous of the step functions is the greatest integer function, which is denoted by
`[x]`. So, this function is defined as:

`f(x)=[x] \ the \ greatest \ integer \ less \ than \ or \ equal \ to \ x.`.

These are the characteristic of this function:

• The domain of the function is the set of all real numbers.
• The range of the function is the set of all integers.
• The graph has a
  `y-intercept` at
  `(0,0)` and
  `x-intercept` in the interval
  `[0,1)`
• The graph is constant between each pair of consecutive integers.
• The graph jumps vertically one unit at each integer value.

However, we have made some changes to the parent function by multiplying it by 3 and making a shift 4 units downward. Finally, we get the graph shown below that matches the fourth option.