D1-Evaluating Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

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-intercept form of a linear function?

Back

The slope-intercept form is given by f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

If f(x) = 2x + 5, what is f(2)?

Back

f(2) = 2(2) + 5 = 9.

Front

What is the y-intercept of the function f(x) = 3x - 5?

Back

The y-intercept is -5, 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) = 0 and solve for x.

Front

If f(x) = 4, what does this mean?

Back

It means that the output of the function f is 4 for some input x.

Front

What is the domain of a function?

Back

The domain 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 is the set of all possible output values (f(x) values) that the function can produce.