RETEST: Unit 3 Part 2

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for a function to have a zero?

Back

A zero of a function is a value of x for which the function's output is zero. In other words, it is the x-coordinate where the graph of the function intersects the x-axis.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis. It is represented by the value of b in the linear function equation f(x) = mx + b.

Front

How do you determine 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. For a linear function, the domain can be all real numbers or a specific set of values.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce based on its domain.

Front

What does the notation -3 < x < 4 represent?

Back

This notation represents an inequality that indicates x is greater than -3 and less than 4. It defines a range of values for x.

Front

What is the difference between an open interval and a closed interval?

Back

An open interval does not include its endpoints, while a closed interval includes its endpoints. For example, (a, b) is open, and [a, b] is closed.

Front

How do you interpret the slope of a linear function?

Back

The slope of a linear function (m) represents the rate of change of the function. It indicates how much y changes for a unit change in x.

Front

What is the significance of the point (10, c(10)) in a graph?

Back

The point (10, c(10)) represents the output value of the function c when the input is 10. It is a specific point on the graph.

Front

How do you write the equation of a line given a point and a slope?

Back

You can use the point-slope form of the equation: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.