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webwork / mat 1023 fall 2025 / sec 3.1 basics of functions / 17
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sec 3.1 basics of functions: problem
(1 point)
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2 of the answers are not correct.
fill in the blanks.
(a) if $h(9)=11$, then the point on the graph of $h$ is:
(b) if $(4,6)$ is on the graph of $h$, then $h(4)$ is:
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Explanation:

Step1: Recall function - point relationship

For a function \(y = h(x)\), if \(h(a)=b\), the point \((a, b)\) lies on the graph of the function.

Step2: Solve part (a)

Given \(h(9)=11\), by the function - point relationship, the point on the graph of \(h\) is \((9,11)\).

Step3: Solve part (b)

If the point \((4,6)\) is on the graph of \(h\), then for \(x = 4\), \(h(4)=6\) according to the function - point relationship.

Answer:

(a) \((9,11)\)
(b) \(6\)