Algebra Review Desmos

What's true about an "asymptote"?

• The ONLY asymptote you see in Algebra I is horizontal, NOT vertical

• The asymptote we learned about is

  y = 0

• It's the imaginary line that the graph never actually crosses; it's where the line flattens out

• We will see both vertical and horizontal asymptotes in Algebra I

How do you know where the shading on the graph should be?

• If y is greater, it should be shaded above. If y is less, it should be shaded below

• If y is greater, it should be shaded below. If y is less, it should be shaded above

• If x is greater, it should be shaded above. If x is less, it should be shaded below

• If the line is dotted, it should be shaded above. If the line is solid, it should be shaded below

How should you solve a SYSTEM OF EQUATIONS like this one?

• Use Menu 413 to find the slope of both

• Put them both in nsolve and multiply the answers

• Change them to y = form, graph them, and find where they cross

• Guess an x and y value and plug in to check if they work

How do you do this in Desmos?

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What is the slope of a line that passes through the points (2, 3) and (4, 7)?

• 1

• 2

For graphs like these, the DOMAIN is always:

• All real numbers greater than or equal to zero

• It depends on where it looks like the lines are

• All real numbers less than or equal to zero

• All real numbers

The word "zeros" means:

• y-intercept

• x-intercepts

• slope

• ones

Since "zeros" means x-intercepts, if a question is asking you to find the zeros of an equation, what should you do?

• Use nsolve to find the solution

• Find the slope and work backwards

• Graph the equation so you can SEE the x-intercepts!

• Cross-multiply so you can find the zeros

This picture shows a line with:

• Undefined slope

• Zero slope

• Slope of 1

• This image is exponential, so it doesn't have a slope