Functions- find f(x) and x from a graph

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What does f(x) represent in a function?

Back

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

Front

If f(x) = -2, how do you find x from a graph?

Back

You look for the point on the graph where the output (y) is -2 and read the corresponding x value.

Front

What is the vertical line test?

Back

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

Front

What does it mean if a function has repeating input values?

Back

If a function has repeating input values, it means that it is not a function, as each input must correspond to exactly one output.

Front

How do you find f(1) from a graph?

Back

To find f(1), locate x = 1 on the graph and read the corresponding y value.

Front

What is the output of g(x) = 4x - 7 when x = -9?

Back

g(-9) = 4(-9) - 7 = -36 - 7 = -43.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x) for which the function is defined.

Front

What is the range of a function?

Back

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

Front

What is the difference between independent and dependent variables in a function?

Back

The independent variable is the input (x), while the dependent variable is the output (y) that depends on the input.