Use Zeros to Write Functions

Finding Zeros of a Function

​Find your classwork that looks like this screenshot.

​If you don't have it, go to Schoology and print it.

R

Zeros of functions

​Fill in these notes

You can write these as coordinates or as a set { } of x values since y is always zero

Multiple Choice

What are the zeroes of this graph?

• x = -2, x = 1, x = 4

• x = -4, x = 0, x = 1, x = 2,

• x = -2, x = -1, x = 0, x = 4

• x = -4, x = -1, x = 2

Multiple Choice

Find the root(s) of the function.

• x = 3

• x = {-3, -1, 2}

• x = {-3, 2}

• x = -1

Multiple Choice

What are the zeros of the function?

• 4,1

• 3,1,-2,-5

• -3, -1, 2, 5

• -2,4

Multiple Choice

How many zeros does the function have?

• None

• 2

• 3

• 4

Multiple Choice

Find the root(s) of the function.

• x = 3

• x = {-3, -1, 2}

• x = {-3, 2}

• x = -1

​Try #1-6 on your classwork, then go to the next slide to check.

​On the second page, copy down the following.

​recall:

f(x) = y

​

All of these "solutions" are where y = 0, so all we have to do is set f(x) equal to zero and solve for x. Note: this is NOT the same as plugging in zero for x. ​Look at the example on the next slide.

​

​Now try #8-12 and check on the next slide.

​solve by graphing:

1) open a new tab and go to desmos.com

2) click graphing calulator

3) ​type in the function for each problem. You can use y or f(x). To get an exponent, yuse the desmos keyboard OR shift+6 will give you an exponent

4) click on the graph and you will see gray dots appear for the solutions. click them and desmos gives you the answer! ​

Draw

Draw a graph where the solutions are at x = -1 and 2

​Now try # 14 and 15 in desmos. when finished, check on the next screen.

​Now, collect HW 5 from Mr. Gilbert. If he cannot locate it, you can print one from schoology (no excuses! You can now close this slideshow.