Evaluating Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to calculate the output of the function for a specific input value.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants.

Front

How do you find f(t) for a given function f(t) = -2t² + 1?

Back

Substitute the value of t into the function and perform the arithmetic operations.

Front

Evaluate f(2) for f(t) = -2t² + 1.

Back

f(2) = -2(2)² + 1 = -8 + 1 = -7.

Front

Evaluate f(-3) for f(t) = -2t² + 1.

Back

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

Front

What is the output of f(x) = 3x² - 11 when x = -5?

Back

f(-5) = 3(-5)² - 11 = 3(25) - 11 = 75 - 11 = 64.

Front

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

Back

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

Front

Evaluate f(4) for f(x) = x² - 5x.

Back

f(4) = (4)² - 5(4) = 16 - 20 = -4.

Front

What is the vertex of the quadratic function f(x) = ax² + bx + c?

Back

The vertex can be found using the formula x = -b/(2a) and then substituting back to find the y-coordinate.