Evaluate Functions from graphs, tables, mapping diagrams

Front

What does it mean to evaluate a function from a graph?

Back

Evaluating a function from a graph involves finding the output value (y) for a given input value (x) by locating the point on the graph that corresponds to the input.

Front

How do you find the value of a function at a specific point, such as h(0)?

Back

To find the value of a function at a specific point, substitute the input value into the function and solve for the output.

Front

What is the relationship between x and y in a function?

Back

In a function, each input value (x) is associated with exactly one output value (y). This relationship can be represented in various forms, including graphs, tables, and equations.

Front

What does it mean when a function is defined as f(x) = y?

Back

When a function is defined as f(x) = y, it means that for each input x, the function produces an output y. This notation indicates the dependency of y on x.

Front

How can you determine the x-value when given a specific y-value, such as y = -3?

Back

To determine the x-value for a specific y-value, you can look for the point on the graph where the y-coordinate equals the given value and read the corresponding x-coordinate.

Front

What is the significance of the point (0, h(0)) on a graph?

Back

The point (0, h(0)) represents the value of the function h at x = 0. It indicates the y-intercept of the function on the graph.

Front

How do you interpret the output of a function when given a specific input?

Back

Interpreting the output of a function involves understanding what the output value represents in the context of the problem or scenario being analyzed.

Front

What is the process for solving for x when given f(x) = a constant?

Back

To solve for x when given f(x) = a constant, set the function equal to the constant and solve the resulting equation for x.

Front

What does it mean for a function to have multiple x-values for a single y-value?

Back

If a function has multiple x-values for a single y-value, it is not a function according to the definition of a function, which states that each input must correspond to exactly one output.

Front

How can you use a table to evaluate a function?

Back

To evaluate a function using a table, locate the input value in the table and read across to find the corresponding output value.