Illustrative Math - Algebra 1 - Unit 6 - Lesson 8

Draw a diagram to show that (2x+5)(x+3) is equivalent to 2x^{2}+11x+15.

Match each quadratic expression that is written as a product with an equivalent expression that is expanded.

Select all expressions that are equivalent to x^{2}+4x.

Explain why the values of the exponential expression 3^{x} will eventually overtake the values of the quadratic expression 10x^{2}.

A baseball travels d meters t seconds after being dropped from the top of a building. The distance traveled by the baseball can be modeled by the equation d=5t^{2}.

Which graph could represent this situation? Explain how you know.

Consider a function q defined by q(x)=x^{2}. Explain why negative values are not included in the range of q.

Equations defining functions a,b,c,d, and f are shown here.

Select all the equations that represent exponential functions.