Question

A graph of function f(x)=|x^2–9|–7 is shown here.
What are the zeros of the function?

Answer 1

wouldn't it be 4,-4?

Answer 2

0. Original Function is

f(x) = |x^2 - 9| - 7

1. Set f(x) = 0

0 = |x^2 - 9| - 7

Then solve for x.

If you look at the graph, you will see that there are 4 zeroes.

Answer 3

Zeroes occur each time the graph intersects the x-axis.

Answer 4

so -4,4,-1,1 are zeros?

Answer 5

-1, and 1 are not included in the list of zeroes. Try solving the function algebraically.

Answer 6

4,-4? is the answer

Answer 7

?

Answer 8

@Hero

Answer 9

There are four zeroes as you can see from the graph. Again, try solving the function algebraically.

Answer 10

don't know how

Answer 11

im not in precalculus yet im studying for next year.

Answer 12

just look at where the line is hitting the x axis

Answer 13

I'll get you started:

|x^2 - 9| = 7

@confusedstudent2012, she can look at the graph to approximate the values, but she still needs to solve it algebraically.

Answer 14

A.0,5
B. 3,-3
C.4,-4
D. 3,-5
E.5,0
These are my answer choices.

Answer 15

i would set it to zero and solve the equation

Answer 16

They ignore the two other zeroes.

Answer 17

Which they should not do.

Answer 18

so the answer is c but the question doesn't make sense?

Answer 19

Hang on a minute...

Answer 20

|x^2 - 9| = 7

x^2 - 9 = 7
x^2 - 9 = -7

x^2 = 9 + 7
x^2 = 9 - 7

x^2 = 16
x^2 = 2

x = ±4
\(x = ±\sqrt{2}\)

Answer 21

So there are 4 solutions. Two of which they ignore.

Answer 22

can you help me with this last question ill appreciate it