Recognizing Functions and Notation- Activity 1

Front

Is this a function?

Back

A function is a relation where each input has exactly one output. If an input corresponds to multiple outputs, it is not a function.

Front

What is the slope of the line through (2, 7) and (4, 17)?

Back

The slope (m) is calculated as (y2 - y1) / (x2 - x1). For points (2, 7) and (4, 17), m = (17 - 7) / (4 - 2) = 10 / 2 = 5.

Front

Does this table represent a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

Front

For what value of x does f(x) = -2?

Back

To find x when f(x) = -2, you need to solve the equation for x. In this case, x = -5.

Front

Which equation represents the function displayed in the graph above?

Back

To determine the equation of a line from a graph, identify the slope and y-intercept. The correct equation is y = 2x + 1.

Front

What is a function?

Back

A function is a special relationship between values where each input has a single output.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, it is not a function.

Front

How do you find the slope of a line?

Back

The slope of a line is found using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does f(x) represent?

Back

f(x) represents the output of a function f for a given input x.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.