Function Notation

Front

What is function notation?

Back

Function notation is a way to represent functions using symbols like f(x), g(x), or h(x) instead of using y. It allows for clearer communication of mathematical relationships.

Front

Evaluate f(5) if f(x) = 2x + 1.

Back

f(5) = 2(5) + 1 = 11.

Front

What does f(x) = -3(x-1) represent?

Back

This is a linear function where the slope is -3 and the function shifts right by 1 unit.

Front

Find h(5) if h(x) = 13 - 5x.

Back

h(5) = 13 - 5(5) = 13 - 25 = -12.

Front

Evaluate f(-5) if f(x) = -2x - 12.

Back

f(-5) = -2(-5) - 12 = 10 - 12 = -2.

Front

What is the slope of the function f(x) = 2x + 1?

Back

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

Front

If f(x) = x^2, what is f(3)?

Back

f(3) = 3^2 = 9.

Front

What is the y-intercept of the function f(x) = 2x + 1?

Back

The y-intercept is 1, which is the value of f(x) when x = 0.

Front

How do you find the value of a function at a specific point?

Back

Substitute the specific value of x into the function's equation.

Front

What is the domain of the function f(x) = 1/x?

Back

The domain is all real numbers except x = 0, since division by zero is undefined.