Evaluate Functions & Graphs

Front

What is a function?

Back

A function is a relationship 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?

Back

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

Front

How do you evaluate a function?

Back

To evaluate a function, substitute the input value into the function's equation and simplify to find the output.

Front

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

Back

f(2) = 2(2) + 4 = 8.

Front

What is the slope of the line represented by f(x) = 2x + 1?

Back

The slope is 2, which means for every 1 unit increase in x, f(x) increases by 2 units.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, and can be written in the form f(x) = mx + b.

Front

What is the y-intercept in the function f(x) = 3x + 2?

Back

The y-intercept is 2, which is the value of f(x) when x = 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(1) if f(x) = 2x + 1?

Back

f(1) = 2(1) + 1 = 3.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = b, where b is a constant.