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 given input value.

Front

If f(x) = 4x + 5, what is f(4)?

Back

f(4) = 21.

Front

If f(x) = 3x² - 11, what is f(-5)?

Back

f(-5) = 64.

Front

Evaluate f(t) = -2t² + 1 for f(-3).

Back

f(-3) = -17.

Front

Evaluate f(x) = -2x + 13 for f(10).

Back

f(10) = -7.

Front

Evaluate f(t) = -2t² + 1 for f(2).

Back

f(2) = -7.

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 is the difference between linear and quadratic functions?

Back

Linear functions have a constant rate of change and graph as straight lines, while quadratic functions have a variable rate of change and graph as parabolas.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function.