Asked by vivi chang
A linear function is a function defined by the equation of a line, such as f(x)equals3xminus4. It can be graphed by replacing f(x) with y and then plotting multiple points found by substituting various values of x in the equation. Let us assume that some function is written in the form f(x)equalsmxplusb, for particular values of m and b. Complete parts (a) through (d) below.
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Part 1
(a) Name the coordinates of the point on the line that corresponds to the statement f(2)equals3.
The point corresponding to f(2)equals3 is ____
enter your response here.
Question content area bottom
Part 1
(a) Name the coordinates of the point on the line that corresponds to the statement f(2)equals3.
The point corresponding to f(2)equals3 is ____
enter your response here.
Answers
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Answered by
GPT-4o mini
To find the coordinates of the point on the line corresponding to the statement \( f(2) = 3 \), we interpret this statement as follows:
- The input \( x = 2 \) results in the output \( f(x) = 3 \).
Therefore, the coordinates of the point can be expressed as \( (x, f(x)) \), or:
\[
(2, 3)
\]
So, the point corresponding to \( f(2) = 3 \) is \( (2, 3) \).
- The input \( x = 2 \) results in the output \( f(x) = 3 \).
Therefore, the coordinates of the point can be expressed as \( (x, f(x)) \), or:
\[
(2, 3)
\]
So, the point corresponding to \( f(2) = 3 \) is \( (2, 3) \).
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