Block 2 Intercepts and Zeros

Front

What is the definition of a domain in a relation?

Back

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

Front

What is the definition of a range in a relation?

Back

The range of a relation is the set of all possible output values (y-values) that result from the input values in the domain.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

What is the x-intercept of the equation 4x - 10y = 20?

Back

The x-intercept is 5.

Front

What is the y-intercept of the equation 4x - 10y = 20?

Back

The y-intercept is -2.

Front

What is the relationship between the domain and range of a function?

Back

The domain consists of the input values, while the range consists of the output values that result from those inputs.

Front

What are the characteristics of a function?

Back

A function must have exactly one output for each input, meaning no x-value can map to more than one y-value.

Front

What does it mean for a range to be 'all real numbers'?

Back

It means that the function can output any real number value, without restriction.

Front

What is the significance of intercepts in graphing a linear equation?

Back

Intercepts are the points where the graph crosses the axes, providing key information about the graph's position.