In Exercises 1–6, (a) state the values of a, b, and c in the given quadratic function f ( x ) = a x 2 + b x + c ; (b) supply the missing values in the table below; (c) calculate f ( a + h ) ; and (d) give a valid technology formula for f ( x ) . (Optional: Use technology to check the values in the table.) [ HINT: See Quick Examples 1–3.] x –3 –2 –1 0 1 2 3 f ( x ) f ( x ) = 2 x 2 − x − 2
In Exercises 1–6, (a) state the values of a, b, and c in the given quadratic function f ( x ) = a x 2 + b x + c ; (b) supply the missing values in the table below; (c) calculate f ( a + h ) ; and (d) give a valid technology formula for f ( x ) . (Optional: Use technology to check the values in the table.) [ HINT: See Quick Examples 1–3.] x –3 –2 –1 0 1 2 3 f ( x ) f ( x ) = 2 x 2 − x − 2
Solution Summary: The author explains that a quadratic equation or function is expressed in function form as well as in equation form.
In Exercises 1–6, (a)state the values of a, b, and c in the given quadratic function
f
(
x
)
=
a
x
2
+
b
x
+
c
; (b)supply the missing values in the table below;(c)calculate
f
(
a
+
h
)
; and(d)give a valid technology formula for
f
(
x
)
. (Optional: Use technology to check the values in the table.) [HINT: See Quick Examples 1–3.]
A 20 foot ladder rests on level ground; its head (top) is against a vertical wall. The bottom of the ladder begins by being 12 feet from the wall but begins moving away at the rate of 0.1 feet per second. At what rate is the top of the ladder slipping down the wall? You may use a calculator.
Explain the focus and reasons for establishment of 12.4.1(root test) and 12.4.2(ratio test)
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