Checkpoint #7 | Functions and Their Representations

Front

What is a function?

Back

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

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

How do you find f(x) for a given x?

Back

To find f(x), substitute the value of x into the function's equation and simplify.

Front

What does f(-3) represent?

Back

f(-3) represents the output of the function when the input is -3.

Front

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

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The y-intercept is found by evaluating the function at x = 0.

Front

What is the significance of the x-intercept?

Back

The x-intercept is the point where the graph of the function crosses the x-axis, found by setting f(x) = 0.

Front

Given f(x) = 2x - 10, find f(0).

Back

f(0) = 2(0) - 10 = -10.

Front

Given f(x) = 3x + 9, find f(-4).

Back

f(-4) = 3(-4) + 9 = -12.