Evaluating Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. It can be represented as f(x), where x is the input.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the input variable into the function's equation and simplify.

Front

What does f(-1) mean in the context of a function f(x)?

Back

f(-1) represents the output of the function f when the input is -1.

Front

If f(x) = 6x² - 4, what is f(-1)?

Back

f(-1) = 6(-1)² - 4 = 6(1) - 4 = 2.

Front

What is the significance of the output in a function?

Back

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

Front

What does c(7) represent in the function c(m) = 1.45m + 3.50?

Back

c(7) represents the cost to ride the taxi for 7 miles.

Front

How do you interpret the output of a function in a real-world context?

Back

The output of a function can often be interpreted as a measurement or quantity relevant to a specific situation.

Front

If g(x) = 3x + 4, what does g(8) represent?

Back

g(8) = 3(8) + 4 = 28. This means that 8 packages of gum cost $28.

Front

What is the formula for evaluating a quadratic function?

Back

For a quadratic function f(x) = ax² + bx + c, substitute the value of x into the equation and simplify.

Front

Evaluate f(t) = -2t² + 1 for f(-3).

Back

f(-3) = -2(-3)² + 1 = -2(9) + 1 = -18 + 1 = -17.