Intercepts, Zeros, and Solutions:
The Zeros or roots of functions and solutions to the equations can either be complex or real numbers. X-intercepts can only be real numbers.
TI graphing calculator can be utilized to determine the real roots of the equation.
a) When your equation has anything on the right side, subtract it from both sides and hence the right hand side is equal to 0.
b) Go to Y=
c) Now, enter the expression.
d) Hit the Graph.
e) Modify the viewing window when essential and hence we can see where the graph crosses the x-axis. We require making sure that there is sufficient to left and right of the x-intercept to choose a point.
f) Carry on to the particular steps for your calculator. When there is more than one x-intercept, you might require changing your viewing window and repeat the steps for all x-intercept.
Equation: It is a statement in which two algebraic expressions are equivalent.
Solutions: All values of variable for which the equation is accurate.
Linear equation in one variable x: The equation which can be written in the standard form of ax + b = 0 where a and b are the real numbers with a ≠ 0.
Mathematical modeling: It is the procedure of converting verbal descriptions to the algebraic equations in order to resolve a real-life problem.
Key topics included:
A) Linear Equations and ModelingB) Solving Equations GraphicallyC) Complex NumbersD) Solving Equations AlgebraicallyE) Solving Inequalities Algebraically and GraphicallyF) Exploring Data: Linear Models and Scatter Plots
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