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 ) = − x 2 − x − 1
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 ) = − x 2 − x − 1
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.]
Consider the graphs of y = f(x) and y = g(x) in the given diagram
y= f(x).
y = g(x)
Evaluate (f+g)(2) -5
Determine all for which g(x) < f(x)
Determine all for which f(x) +3 = g(x)
I) For what value(s) of x does g(x) = -4? Separate multiple answers with commas as needed.
J) Give the interval(s) of such that g(x) > 0. Use the union symbol between multiple intervals.
K) Give the interval(s) of such that g(x) <0. Use the union symbol between multiple intervals.
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