Evaluating Functions

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 f(x) represent in a function?

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 point?

Back

To evaluate a function at a specific point, substitute the value of the input into the function's equation.

Front

What is the slope of the function f(x) = -4x - 10?

Back

The slope is -4, indicating the function decreases as x increases.

Front

What is the y-intercept of the function f(x) = -4x - 10?

Back

The y-intercept is -10, which is the value of f(0).

Front

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

Back

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

Front

What is the value of f(0) for the function f(x) = -4x - 10?

Back

f(0) = -10.

Front

If f(x) = 10, how do you find x for the function f(x) = -4x - 10?

Back

Set -4x - 10 = 10 and solve for x, resulting in x = -5.

Front

What does it mean if a function has multiple outputs for a single input?

Back

It means the relation is not a function, as a function can only have one output for each input.

Front

What is the value of f(2) for the function f(x) = -4x - 10?

Back

f(2) = -4(2) - 10 = -18.