Math Problem Statement

If f left parenthesis negative 3 right parenthesis equals 1f(−3)=1​, identify a point on the graph of f.

Solution

If f(3)=1f(-3) = 1, it means that when x=3x = -3, the function f(x)f(x) has a value of 1. This can be interpreted as the point (3,1)(-3, 1) on the graph of the function ff.

So, the point on the graph of ff is (3,1)(-3, 1).

Would you like more details or have any further questions?


Here are five related questions to consider:

  1. What does the point (x,y)(x, y) on a graph of a function represent?
  2. How do you find additional points on the graph of a function given its equation?
  3. What is the significance of the value f(x)f(x) in function notation?
  4. How do you plot a function on a coordinate plane?
  5. What can you infer about the behavior of a function from its points?

Tip: Function notation like f(x)f(x) simply represents the output (or yy-value) for a given input xx.

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Math Problem Analysis

Mathematical Concepts

Functions
Graphing
Coordinate Plane

Formulas

Function notation: f(x) represents the output of a function for input x

Theorems

Interpretation of function points: A point (x, y) on the graph of f(x) means f(x) = y

Suitable Grade Level

Grades 6-8