Warm Up 12/13/2024 Domain and Range of graphs

Front

What is the definition of 'range' in a graph?

Back

The range of a graph is the set of all possible output values (y-values) that a function can produce.

Front

What does it mean if the range of a graph is y ≤ 5?

Back

It means that the highest value of y in the graph is 5, and y can take any value less than or equal to 5.

Front

If the range of a graph is y ≥ 1, what does this indicate?

Back

This indicates that the lowest value of y in the graph is 1, and y can take any value greater than or equal to 1.

Front

What is the range of the function f(x) = x^2?

Back

The range is y ≥ 0, since the output of x^2 is always non-negative.

Front

How do you determine the range of a linear function?

Back

For a linear function, the range is all real numbers unless there are restrictions on the y-values.

Front

What does the notation [-2, ∞) represent in terms of range?

Back

It represents all values of y starting from -2 and going to positive infinity, including -2 but not including infinity.

Front

What is the range of the function f(x) = -3x + 2?

Back

The range is all real numbers, as it is a linear function with no restrictions.

Front

If a graph has a range of -3 ≤ y ≤ 4, what does this mean?

Back

It means that y can take any value from -3 to 4, including both -3 and 4.

Front

What is the significance of the range in real-world applications?

Back

The range helps to understand the limits of possible outcomes in real-world scenarios, such as temperature, height, or scores.

Front

How can you find the range of a quadratic function?

Back

To find the range of a quadratic function, identify the vertex and determine if it opens upwards or downwards.