Evaluate as requested.
1) Given that g(x) =![]()
, find g( -14.25).
Graph the function and state intervals of increase and decrease, if any, and state the maxima and minima, if any.
2) f(x) = ![]()
Graph the function.
3) f(x)=
For the pair of functions, find the indicated sum, difference, product, or quotient.
When f(x) = ![]()
and g(x) = 2x + 1
4) Find (f/g)( ![]()
)
5) Find (f + g)(6)
6) Find (f*g)(-4)
Find the requested function value.
7) Find (g ∘ f)( 4) when f(x) = -4x + 5 and g(x) = ![]()
Find the requested composition of functions.
8) Given f(x) = ![]()
and g(x) = 5x – 4 find (g ∘ f)(x).
Answer the question.
9) How can the graph of f(x) =![]()
be obtained from the graph of y = x2?
10) The stopping distance d of a car after the brakes have been applied varies directly as the square of the speed r. If a car traveling 60 mph can stop in 200 ft, how long will it take a car traveling 30 mph to stop?
+
+
4
x
2
5
x
3
-
+
(
)
-
x
5
2
6
-
x
6
+
x
8
-
-
+
+
x
3
3
x
2
9
x
4
-
x
2
1
11
-
-
7
x
2
8
x
1
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quiz_3_fall2014.docx
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