Evaluate Functions from graphs, tables, mapping diagrams

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to find the output value for a given input by substituting the input into the function's equation.

Front

How do you read values from a graph?

Back

To read values from a graph, locate the x-coordinate on the horizontal axis, then find the corresponding y-coordinate on the vertical axis.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with its output.

Front

When x = 0, what is the value of y in the function y = 2x + 10?

Back

y = 10.

Front

How do you find the x-value when given a y-value in a function?

Back

To find the x-value for a given y-value, set the function equal to the y-value and solve for x.

Front

What is the output of the function h(x) = 3x - 6 when x = 2?

Back

h(2) = 0.

Front

What does the y-intercept of a graph represent?

Back

The y-intercept is the point where the graph crosses the y-axis, representing the output value when the input (x) is 0.

Front

How can you determine if a relation is a function?

Back

A relation is a function if each input value corresponds to exactly one output value.

Front

What is the value of h(-1) if h(x) = x^2 - 4?

Back

h(-1) = -3.