Question

use the drawing tools to form the correct answer on the graph. plot function h on the graph. h(x) = { -6, -9 ≤ x < -4; 1, -3 ≤ x < 2; 4, 3 ≤ x < 8 } drawing tools select point open point line segment click on a tool to begin drawing. undo reset -10 -8 -6 -4 -2 2 4 6 8 10 -10 -8 -6 -4 -2 2 4 6 8 10

Explanation:

Step1: Analyze the first piece

For \( h(x)= -6 \) when \( -9\leq x < -4 \). So we draw a horizontal line segment from \( x = -9 \) (closed point, since \( \leq \)) to \( x = -4 \) (open point, since \( < \)) at \( y = -6 \).

Step2: Analyze the second piece

For \( h(x)= 1 \) when \( -3\leq x < 2 \). Draw a horizontal line segment from \( x = -3 \) (closed point) to \( x = 2 \) (open point) at \( y = 1 \).

Step3: Analyze the third piece

For \( h(x)= 4 \) when \( 3\leq x < 8 \). Draw a horizontal line segment from \( x = 3 \) (closed point) to \( x = 8 \) (open point) at \( y = 4 \).

Answer:

(The graph should have three horizontal line segments: one at \( y = -6 \) from \( x=-9 \) (closed) to \( x = -4 \) (open), one at \( y = 1 \) from \( x=-3 \) (closed) to \( x = 2 \) (open), and one at \( y = 4 \) from \( x = 3 \) (closed) to \( x = 8 \) (open).)