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paytonthalacker
15.08.2021 •
Mathematics
If f(x)=9-4x^2 Find
a) f(-2)
b) f(-3) f(3)
c) x such that f(x) = 0
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Ответ:
see explanation
Step-by-step explanation:
(a)
To evaluate f(- 2) substitute x = - 2 into f(x) , that is
f(- 2) = 9 - 4(- 2)² = 9 - 4(4) = 9 - 16 = - 7
(b)
Similarly substitute x = - 3 and x = 3 into f(x)
f(- 3) = 9 - 4(- 3)² = 9 - 4(9) = 9 - 36 = - 27
f(3) = 9 - 4(3)² = 9 - 4(9) = 9 - 36 = - 27
(c)
let f(x) = 0 , then
9 - 4x² = 0 ( add 4x² to both sides )
9 = 4x² ( divide both sides by 4 )
±
= x
±
= x
±
= x
That is x = -
or x = ![\frac{3}{2}](/tpl/images/1409/1226/dbf42.png)
Ответ:
slope is -1
y-int is -2
its in y=mx+b form
b is the int
m is the slope