Interpreting Graphs of Functions

Front

What is a y-intercept in a function?

Back

The y-intercept is the point where the graph of a function intersects the y-axis, represented as (0, y).

Front

How do you find the y-intercept of a function given its equation?

Back

To find the y-intercept, set x = 0 in the function's equation and solve for y.

Front

What is a minimum point in the context of a function's graph?

Back

A minimum point is the lowest point on the graph of a function, where the function value is less than or equal to all other values in its neighborhood.

Front

How can you identify the minimum of a function from its graph?

Back

The minimum can be identified as the lowest point on the graph, where the slope changes from negative to positive.

Front

What are x-intercepts in a function?

Back

X-intercepts are the points where the graph of a function intersects the x-axis, represented as (x, 0).

Front

How do you find the x-intercepts of a function?

Back

To find the x-intercepts, set y = 0 in the function's equation and solve for x.

Front

What is the range of a function?

Back

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

Front

How can you determine the range of a function from its graph?

Back

The range can be determined by identifying the lowest and highest points on the graph and the y-values they correspond to.

Front

What does it mean if a function has a range of -2 ≤ y ≤ 10?

Back

It means that the output values of the function can be any number from -2 to 10, inclusive.

Front

What is the significance of the minimum value in a function's range?

Back

The minimum value indicates the lowest output the function can achieve, which is important for understanding the function's behavior.