Understanding Linear Functions and Graphs

What is the dependent variable typically represented by in a function?

• x

• y

• z

• w

Which of the following best describes a linear function?

• A line on the Cartesian plane

• A circle on the Cartesian plane

• A point on the Cartesian plane

• A curve on the Cartesian plane

What is the logical basis of calculus according to the video?

• Functions appearing linear on a large scale

• Functions appearing linear on a small scale

• Functions being non-linear

• Functions being quadratic

What is the coefficient in the equation y = 2x?

• y

• 1

• 2

• x

How does a negative coefficient affect the slope of a line?

• It makes the line slope upwards

• It makes the line slope downwards

• It makes the line vertical

• It makes the line horizontal

What is the effect of increasing the magnitude of a negative coefficient?

• The line's upward slope increases

• The line's downward slope increases

• The line becomes horizontal

• The line becomes vertical

What happens to the slope of a line when the x-coefficient is zero?

• The slope is infinite

• The slope is positive

• The slope is negative

• The slope is zero

Which equation describes a horizontal line through the origin?

• x = 0

• y = 0

• y = mx

• y = x

What is required to describe a vertical line?

• A negative x-coefficient

• A zero x-coefficient

• An infinite x-coefficient

• A finite x-coefficient

What does the equation y = mx represent?

• A curve

• A non-vertical line through the origin

• A horizontal line

• A vertical line