Please help I don't understand **Problem 3: Graph Characteristics**- **Task**: Draw a graph of \(y = f(x)\) that matches the following characteristics: - **Increasing Intervals**: - \( -8 < x < -4 \) - \( -1 < x < 5 \) - **Decreasing Interval**: - \( -4 < x < -1 \) - **Values and Zeroes**: - \( f(-8) = -5 \) - Zeroes at \( x = -6, -2, \) and \( 3 \) - **Extrema**: - Absolute maximum of 7 - Absolute minimum of -5 - **Graph**: A blank coordinate grid is provided to plot the function.**Problem 4: Function Analysis**A continuous function is given with a domain of \( -7 \leq x \leq 10 \). The function provides specific values in a table, with zeroes and relative extrema specified:- **Table of Values**: \[ \begin{array}{c|cccccccc} x & -7 & -4 & -1 & 0 & 2 & 5 & 7 & 10 \\ \hline f(x) & 8 & 12 & 0 & -2 & -5 & -6 & 0 & 4 \\ \end{array} \]- **Extra Information**: - The function has exactly two zeroes. - Relative maximum at \( (-4, 12) \). - Relative minimum at \( (5, -6) \).- **Questions**: - (a) State the interval on which \( f(x) \) is decreasing. - (b) State the interval over which \( f(x) < 0 \). ### Exercise**For the function \( g(x) = 9 - (x+1)^2 \) do the following:**(a) **Sketch the graph of \( g \) on the axes provided.**- The provided axes are a standard Cartesian grid with a horizontal \( x \)-axis and vertical \( y \)-axis, both labeled. Each axis is marked with lines to indicate scale, though numerical values are not specified.(b) **State the zeroes of \( g \).**(c) **Over what interval is \( g(x) \) decreasing?**(d) **Over what interval is \( g(x) \geq 0 \)?**(e) **State the range of \( g \).**

Name: Please help I don't understand **Problem 3: Graph Characteristics**- *
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Please help I don't understand **Problem 3: Graph Characteristics**- **Task**: Draw a graph of \(y = f(x)\) that matches the following characteristics: - **Increasing Intervals**: - \( -8 < x < -4 \) - \( -1 < x < 5 \) - **Decreasing Interva