## Category: Function

### What is the point of tangency – no calculus, please

Problem Two lines intersect the graph . The secant line intersects the graph at point A and B and the tangent line which is parallel to the secant, touches the graph at point E. You can read the coordinates of A and B from the graph but not E. What are the coordinates of E?…

### How to find the equation given the roots

Before I answer the question in the title, we need to do some revisions: This is what you do when you solve a quadratic equation like : Solution: => (x-5)(x+2)=0 => If x-5 = 0, then x = 5; if x+2 = 0, then x =-2. The solution is x=5 or x=-2. If you graph…

### How to Find the Domain of a Function

The domain of a function in x refers to all the possible values of x for which the function is defined. That is, it consist of all the values that make the function exist. Unless otherwise stated, the possible values for the domain is from the set of real numbers. Usually, your teacher will only…

### How to find the equation of graphs of functions

In your study of function, the usual activity you do is to graph the function given an equation. Here is a problem that involve finding the equation given theĀ  graphs of functions – linear, quadratic, exponential, and reciprocal (rational) functions. Problem The figure below shows the graphs of common functions. The algebraic representation of the…