Evaluate Functions (Flashcard 2)

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one corresponding y-value.

Front

What does f(x) represent?

Back

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

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function's equation and simplify.

Front

What is the value of f(2) if f(x) = 4x - 8?

Back

f(2) = 4(2) - 8 = 8 - 8 = 0.

Front

What is the domain of a function?

Back

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

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each input is associated with exactly one output.

Front

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

Back

To find the x-intercept, set f(x) = 0 and solve for x.

Front

What is the value of f(-5) if f(x) = 2x + 8?

Back

f(-5) = 2(-5) + 8 = -10 + 8 = -2.

Front

What is the slope of the function f(x) = 3x + 2?

Back

The slope of the function is 3, which indicates the rate of change of y with respect to x.