Question
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.
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.
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
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 \( (2, 3) \).
Related Questions
A quadratic function is defined by
f(x)= 3x^2+4x-2. A linear function is defined by g(x)= mx-5. wh...
A quadratic function is defined by f(x)=-3.7x^2+6.8x+4.2. A linear function is defined by g(x)=-0.5x...
A quadratic function is defined f(x) = 2x ^ 2 + 4x - 1 . A linear function is defined by g(x) = kx -...