Refer to the graph of the function $f$ in the following figure.
(a) Find the value of $f(9)$.
$$
f(9)=
$$
$\square$
(b) Find the values of $x$ corresponding to the point(s) on the graph of $f$ located at a height of 5 units above the $x$-axis.
$$
\begin{array}{l}
x=\square \text { (smaller value) } \
x=\square \text { (larger value) }
\end{array}
$$
(smaller value) (larger value)
(c) Find the point on the $x$-axis at which the graph of $f$ crosses it.
$$
x=
$$
$\square$
What is the value of $f(x)$ at this point?
(c) Find the point on the $x$-axis at which the graph of $f$ crosses it.
$$
x=
$$
$\square$
What is the value of $f(x)$ at this point?
$$
f(x)=
$$
$\square$
(d) Find the domain and range of $f$. (Enter your answers using interval notation.) domain $\square$
range $\square$

Question

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To find the value of $f(9)$, we look at the graph where $x = 9$. From the graph, we see that the point corresponding to $x = 9$ is $(9, 1)$. Therefore, $f(9) = 1$. ‖ ‖ step 2 ⋮ To find the values of $x$ corresponding to the point(s) on the graph of $f$ located at a height of 5 units above the $x$-axis, we look for points where $y = 5$. From the graph, we see that the points are $(4, 5)$. Therefore, the smaller value of $x$ is $4$ and there is no larger value. ‖ ‖ step 3 ⋮ To find the point on the $x$-axis at which the graph of $f$ crosses it, we look for points where $y = 0$. From the graph, we see that the points are $(2, 0)$. Therefore, $x = 2$. ‖ ‖ step 4 ⋮ The value of $f(x)$ at the point where the graph crosses the $x$-axis is $0$. ‖ ‖ step 5 ⋮ To find the domain and range of $f$, we observe the graph. The domain is the set of all $x$ values for which the function is defined, which is $[-2, 9]$. The range is the set of all $y$ values that the function takes, which is $[-3, 6]$. ‖ ∻[question number] Answer∻ ***A*** ∻Key Concept∻ ⚹Graph Analysis⚹ ∻Explanation∻ ⚹To find specific values and points on a graph, observe the coordinates and the behavior of the function as it intersects the axes and reaches certain heights.⚹◊What is the function value $f(9)$ in the given line graph?⍭ Generate me a similar question◊

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