Relations, Functions, and Zeros

Front

What is a function?

Back

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

Front

What are the zeros of a function?

Back

The zeros of a function are the values of x for which f(x) = 0.

Front

How do you find the zeros of a linear function?

Back

To find the zeros of a linear function, set the function equal to zero and solve for x.

Front

Given f(x) = 2x - 2, find f(0).

Back

f(0) = 2(0) - 2 = -2.

Front

Given g(x) = 5x, find g(3).

Back

g(3) = 5(3) = 15.

Front

What is the sum of f(0) and g(3) if f(x) = 2x - 2 and g(x) = 5x?

Back

f(0) + g(3) = -2 + 15 = 13.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (f(x)) that the function can produce.

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input is associated with exactly one output.

Front

Given f(x) = -2x + 8, find the zero of the function.

Back

Set -2x + 8 = 0, solving gives x = 4.