Solve for F(x)

Front

What is the definition of a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input from a given set, known as the domain.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function f(x) at a specific point x = a, substitute 'a' into the function's expression and simplify.

Front

What is the function notation f(x)?

Back

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

Front

What is the slope-intercept form of a linear function?

Back

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

Front

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

Back

To find the y-intercept of a function, set x = 0 in the function's equation and solve for f(0).

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, which means it has a constant rate of change.

Front

What is the process to evaluate f(x) = ax + b at x = c?

Back

Substitute c into the function: f(c) = a(c) + b, then simplify to find the output.

Front

What is the significance of the point (1, f(1)) in a function?

Back

The point (1, f(1)) represents the output of the function when the input is 1, indicating the function's value at that specific input.

Front

How do you interpret the output of a function?

Back

The output of a function represents the result of applying the function's rule to the input value.

Front

What is the difference between evaluating f(x) and finding f(x) for a specific x?

Back

Evaluating f(x) means calculating the output for a given input, while finding f(x) for a specific x involves determining the function's expression.