Evaluating Function Values

Front

What is a function?

Back

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

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 does the notation f(x) represent?

Back

f(x) represents the output of the function f for the 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) 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 (x-value) corresponds to exactly one output (y-value).

Front

How can you determine if a set of ordered pairs represents a function?

Back

Check if any x-value is repeated; if it is, the relation is not a function.

Front

Evaluate the function f(x) = x^2 - 5x at x = 4.

Back

f(4) = 4^2 - 5(4) = 16 - 20 = -4.

Front

What is the value of h(8) if h(x) = 12 - \frac{3}{4}x?

Back

h(8) = 12 - \frac{3}{4}(8) = 12 - 6 = 6.

Front

Given the function {(0,1), (1,-3), (2,-4), (-4,1)}, what is the domain?

Back

Domain: {0, 1, 2, -4}.