Calculus | Senioritis

John Rhodes
July 7, 2023
Calculus

The Relationship Between Increasing Functions and Positive Derivatives in Mathematics

If f(x) is increasing, then f'(x) is? If f(x) is increasing, it means that as x increases, the corresponding values of f(x) also increase If f(x) is...

John Rhodes
July 7, 2023
Calculus

Understanding Instantaneous Rate of Change: Calculating the Rate of Function Change at a Specific Point

Instantaneous Rate of Change at x=a The instantaneous rate of change at x = a measures the rate at which a function is changing at a specific...

John Rhodes
July 7, 2023
Calculus

Understanding Average Rate of Change in Mathematics: Definition, Formula, and Calculation Steps

Average Rate of Change of f(x) on [a,b] The average rate of change of a function f(x) on the interval [a,b] is defined by the formula: Average...

John Rhodes
July 7, 2023
Calculus

Understanding Vertical Stretch in Mathematics: Exploring the Height-changing Transformation and its Effects

vertical stretch In mathematics, a vertical stretch refers to a transformation that changes the height of a graph or an object In mathematics, a vertical stretch refers...

John Rhodes
July 7, 2023
Calculus

Understanding Vertical Shrink: How Math Transforms Graphs through Compression Towards the x-axis

vertical shrink Vertical shrink is a term used in mathematics to describe a transformation on a graph that results in all the points being vertically compressed towards...

John Rhodes
July 7, 2023
Calculus

Mastering Quadratic Functions: Coefficients, Graphing, Vertex, X-intercepts, and Solutions

quadratic function A quadratic function is a type of function that can be written in the form f(x) = ax^2 + bx + c, where a, b,...

John Rhodes
July 7, 2023
Calculus

Mastering Parabolas: Understanding the Equation, Graphing, and Key Points

parabola A parabola is a U-shaped curve that features in the branch of mathematics called algebraic geometry A parabola is a U-shaped curve that features in the...

John Rhodes
July 7, 2023
Calculus

Understanding the y-intercept: Explained with examples and equations

y-intercept The y-intercept is a concept in mathematics that specifically applies to graphing linear equations The y-intercept is a concept in mathematics that specifically applies to graphing...