Review - Unit 2 Functions

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does f(x) represent in a function?

Back

f(x) represents the output of the function for a given input x, and is equivalent to y.

Front

What is the rate of change in a linear function?

Back

The rate of change is the slope of the line, indicating how much y changes for a unit change in x.

Front

How do you evaluate a function at a specific point?

Back

To evaluate f(a), substitute a into the function's equation and simplify.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

What is the meaning of a negative slope?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

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

Back

Use the point-slope form: y - y1 = m(x - x1), then rearrange to slope-intercept form.

Front

What is a function?

Back

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

Front

What is the significance of the coefficient in front of x in a linear equation?

Back

The coefficient represents the slope of the line, indicating the steepness and direction.