Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically in the form f(x), where f is the name of the function and x is the input variable.

Front

How do you evaluate a function at a specific value?

Back

To evaluate a function at a specific value, substitute the value into the function's expression and simplify.

Front

What is the value of g(3) if g(x) = 9x + 24?

Back

g(3) = 9(3) + 24 = 51.

Front

If h(x) = 13 - 5x, what is h(5)?

Back

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

Front

How do you find f(10) if f(x) = x^2 - 1?

Back

f(10) = 10^2 - 1 = 100 - 1 = 99.

Front

What is the formula for g(x) if g(x) = 4x - 7?

Back

g(x) = 4x - 7 is a linear function where the slope is 4 and the y-intercept is -7.

Front

Calculate g(-9) if g(x) = 4x - 7.

Back

g(-9) = 4(-9) - 7 = -36 - 7 = -43.

Front

If f(x) = 2x + 1, what is f(1)?

Back

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

Front

What is the general form of a linear function?

Back

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

Front

What does the slope of a linear function represent?

Back

The slope of a linear function represents the rate of change of the function; it indicates how much the output value changes for a unit change in the input value.