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Questions and Answers
What is the definition of a linear function?
What is the definition of a linear function?
- A function that has a constant rate of change (correct)
- A function that has a quadratic term
- A function that has a trigonometric term
- A function that has a logarithmic term
Which of the following is an example of a linear function?
Which of the following is an example of a linear function?
- y = 3x + 2 (correct)
- y = x^2
- y = sin(x)
- y = log(x)
What is the slope-intercept form of a linear function?
What is the slope-intercept form of a linear function?
- y = mx + b (correct)
- y = ax^2 + bx + c
- y = log_a(x)
- y = a^x
Which of the following best describes the gradient of a linear function?
Which of the following best describes the gradient of a linear function?
What does the y-intercept of a linear function represent?
What does the y-intercept of a linear function represent?
Which of the following is true about linear functions?
Which of the following is true about linear functions?
Which of the following is true about the gradient of a linear function?
Which of the following is true about the gradient of a linear function?
What does the y-intercept of a linear function represent?
What does the y-intercept of a linear function represent?
Which of the following best describes the slope-intercept form of a linear function?
Which of the following best describes the slope-intercept form of a linear function?
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Study Notes
Definition of Linear Function
- A linear function is a function that can be expressed as a straight line on a graph.
Examples of Linear Functions
- Examples of linear functions include f(x) = 2x + 3, g(x) = x - 4, and h(x) = 5.
Slope-Intercept Form of a Linear Function
- The slope-intercept form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.
Gradient of a Linear Function
- The gradient of a linear function represents the rate of change of the output value with respect to the input value.
- The gradient of a linear function is constant, meaning it does not change at any point on the line.
Y-Intercept of a Linear Function
- The y-intercept of a linear function represents the point at which the line crosses the y-axis.
- The y-intercept is the value of y when x is equal to 0.
Properties of Linear Functions
- Linear functions have a constant rate of change, meaning the output value changes at a constant rate as the input value changes.
- The graph of a linear function is a straight line.
Properties of Gradient of a Linear Function
- The gradient of a linear function is a measure of its steepness.
- A positive gradient indicates a line that slopes upwards, while a negative gradient indicates a line that slopes downwards.
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