REI.11 algebra 1

Front

How many times do the equations f(x) = x + 1 and g(x) = x² intersect?

Back

2

Front

Approximately where do the graphs y = 4 + x and y = 4^x intersect?

Back

at both points

Front

The tables shown represent linear functions f(x) and g(x). At what point do the functions intersect?

Back

(-2, -1)

Front

Ms. Kent writes the two functions shown in the box on the whiteboard and asks her students to solve the system. Which is the solution?

Back

x = -1

Front

What is the smallest solution for f(x) = g(x) in the graph of the equations y = f(x) and y = g(x)?

Back

2

Front

Define a linear function.

Back

A linear function is a function that can be graphically represented as a straight line, defined by the equation f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What does it mean for two functions to intersect?

Back

Two functions intersect at points where their outputs (y-values) are equal for the same input (x-value).

Front

How do you find the intersection of two functions algebraically?

Back

Set the equations of the two functions equal to each other and solve for x.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that can be solved together.