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Question
Math
Posted 2 months ago

Refer to the graph of the function ff in the following figure.
(a) Find the value of f(9)f(9).
f(9)=
f(9)=

\square
(b) Find the values of xx corresponding to the point(s) on the graph of ff located at a height of 5 units above the xx-axis.
x= (smaller value) x= (larger value) 
\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 xx-axis at which the graph of ff crosses it.
x=
x=

\square
What is the value of f(x)f(x) at this point?
(c) Find the point on the xx-axis at which the graph of ff crosses it.
x=
x=

\square
What is the value of f(x)f(x) at this point?
f(x)=
f(x)=

\square
(d) Find the domain and range of ff. (Enter your answers using interval notation.) domain \square
range \square
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Answer from Sia
Posted 2 months ago
Solution by Steps
step 1
To find the value of f(9)f(9), we look at the graph where x=9x = 9. From the graph, we see that the point corresponding to x=9x = 9 is (9,1)(9, 1). Therefore, f(9)=1f(9) = 1
step 2
To find the values of xx corresponding to the point(s) on the graph of ff located at a height of 5 units above the xx-axis, we look for points where y=5y = 5. From the graph, we see that the points are (4,5)(4, 5). Therefore, the smaller value of xx is 44 and there is no larger value
step 3
To find the point on the xx-axis at which the graph of ff crosses it, we look for points where y=0y = 0. From the graph, we see that the points are (2,0)(2, 0). Therefore, x=2x = 2
step 4
The value of f(x)f(x) at the point where the graph crosses the xx-axis is 00
step 5
To find the domain and range of ff, we observe the graph. The domain is the set of all xx values for which the function is defined, which is [2,9][-2, 9]. The range is the set of all yy values that the function takes, which is [3,6][-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.

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