According to the graph for \(y = m(x)\) above, \(m(2) = \answer [tolerance=0.3]{1.8}\)
dots to pairs
The graph below is the graph of \(y = m(x)\). One of the dots has been highlighted. This dot
visually encodes a function pair. How do we decipher the pair represented by this
dot?
![[Picture]](decodingFunctionValues-75167b6711982dd7aab291d395e1be5f.svg)
We need the coordinates of this dot. To obtain these, we move perpendicularly from the dot to the axes.
![[Picture]](decodingFunctionValues-f445cc82ba7d3542c505a529a8844666.svg)
From there we can identify the domain number, \(-1\), and its range partner (function value), \(-3.52\). We now know that \(m(-1)=-3.5\).
Below is the graph for \(k = T(w)\). Use this graph to answer the following questions.
![[Picture]](decodingFunctionValues-aae07a914e01239657e09dcb3d692ff9.svg)
- \(T(-5) = \answer [tolerance=0.3]{10}\)
- \(T(-1) = \answer [tolerance=0.3]{-6}\)
- \(T(4) = \answer [tolerance=0.3]{-3}\)
- \(T(8) = \answer [tolerance=0.3]{1}\)
Below is the graph for \(k = T(w)\). Use this graph to answer the following questions.
![[Picture]](decodingFunctionValues-ccf0f370155ab896dd7f609058e8ad24.svg)
-
Which of the expressions below best describes the domain of \(T\)?
\([-7,8]\) \([-6,6]\) \([-7,-1] \cup [3,8]\) \([-7,-1] \cup (3,8]\) -
Which of the expressions below best describes the range of \(T\)?
\([-6,6]\) \((-4, 1]\) \([-6,6] \cup (-4,1]\) \([-6,6] \cup [-4,1]\)
Below is the graph for \(z = x(y)\).
![[Picture]](decodingFunctionValues-e47b570511178eef0bc435fa48ada267.svg)
-
According to the graph, how many solutions are there to the equation \(x(y) = 2\)?
\(0\) \(1\) \(2\) \(4\) -
According to the graph, how many solutions are there to the equation \(x(y) = 0\)?
\(0\) \(1\) \(2\) \(4\) -
According to the graph, how many solutions are there to the equation \(x(y) = -3\)?
\(0\) \(1\) \(2\) \(4\)
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more examples can be found by following this link
More Examples of Function Graphs