Let
f
(
x
)
=
3
x
3
+
a
x
2
+
b
−
x
3
+
c
x
+
d
f(x)=
−x
3
+cx+d
3x
3
+ax
2
+b

f, left parenthesis, x, right parenthesis, equals, start fraction, 3, x, cubed, plus, a, x, squared, plus, b, divided by, minus, x, cubed, plus, c, x, plus, d, end fraction, where
a
aa,
b
bb,
c
cc, and
d
dd are unknown constants.
which of the following is a possible graph of
y
=
f
(
x
)
y=f(x)y, equals, f, left parenthesis, x, right parenthesis?

gregory's graph is incorrect because it shows 2 inches of growth for each week when it should show 0.75 inches of growth each week.

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0