Let's use what we know about slope to make predictions about how a change will affect the slope of the function describing that situation.
TEKS Standards and Student Expectations
A(3) Linear functions, equations, and inequalities. The student applies the mathematical process standards when using graphs of linear functions, key features, and related transformations to represent in multiple ways and solve, with and without technology, equations, inequalities, and systems of equations. The student is expected to:
A(3)(E) determine the effects on the graph of the parent function f(x) = x when f(x) is replaced by af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d
Given verbal, symbolic, numerical, or graphical representations of problem situations, the student will interpret and predict the effects of changing the slope in the context of the situations.
How does changing the slope affect the graph of a function?
How does changing the slope affect the table of values for a function?
How does changing the slope affect the equation of a function?