Question

Which graph shows the function h(x) = 3|x|

Answer 1

The graph of
`\(h(x) = 3|x|\)` is a V-shaped graph centered at the origin (0, 0). It consists of two linear segments:
`\(y = 3x\)` for
`\(x > 0\)` and
`\(y = -3x\)` for
`\(x < 0\)`.

The graph of the function
`\( h(x) = 3|x| \)` is a V-shaped graph that opens upwards, consisting of two linear segments forming a "V" pattern, with its vertex at the origin (0, 0). It is the absolute value function multiplied by 3.

The graph represents a linear function
`\( y = 3x \)` for
`\( x > 0 \)` and
`\( y = -3x \)` for
`\( x < 0 \)` , both having a slope of 3 but with opposite directions. When
`\( x \)` is positive, the graph rises with a slope of 3; when
`\( x \)`is negative, it descends with a slope of -3.

However, you can visualize this graph using graphing software or calculators by plotting the points for both positive and negative values of
`\( x \)` along the lines
`\( y = 3x \)` and
`\( y = -3x \)`, respectively, creating a V-shaped graph centered at the origin.

Which graph shows the function h(x) = 3|x|?