Functions!

Front

Evaluate f(-2) if f(x) = x + 3.

Back

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

Front

Given h(x) = -x² + 3x, find h(5).

Back

h(5) = -5² + 3(5) = -25 + 15 = -10.

Front

For the function f(x) = -3(x - 1), find f(0).

Back

f(0) = -3(0 - 1) = -3(-1) = 3.

Front

What is x if f(x) = -2 for f(x) = -3(x - 1)?

Back

-2 = -3(x - 1) => x - 1 = 2/3 => x = 8.

Front

Which set of values is a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)

Back

(6,-5) (7, -3) (8, -1) (9, 1) is a function because each input has a unique output.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for a function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for a function.

Front

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

Back

Substitute the specific point into the function's equation.

Front

What does it mean for a function to be linear?

Back

A linear function has a constant rate of change and can be represented by a straight line on a graph.