In Exercise 53-58, evaluate each piecewise function at the given values of the independent variable. h ( x ) = { x 2 − 25 x − 5 if x ≠ 5 10 if x = 5 a. h (7) b. h (0) c. h (5)
In Exercise 53-58, evaluate each piecewise function at the given values of the independent variable. h ( x ) = { x 2 − 25 x − 5 if x ≠ 5 10 if x = 5 a. h (7) b. h (0) c. h (5)
Solution Summary: The author explains that the value of h(7) is 12.
In Exercise 53-58, evaluate each piecewise function at the given values of the independent variable.
h
(
x
)
=
{
x
2
−
25
x
−
5
if
x
≠
5
10
if
x
=
5
a.h (7)
b.h (0)
c.h (5)
Definition Definition Group of one or more functions defined at different and non-overlapping domains. The rule of a piecewise function is different for different pieces or portions of the domain.
Assume a car uses gas at a constant rate. After driving 25 miles since a full tank of gas was purchased, there was 9 gallons of gas left; after driving 70 miles since a full tank of gas was purchased, there was 7.2 gallons of gas left.
Use a function to model the amount of gas in the tank (in gallons). Let the independent variable be the number of miles driven since a full tank of gas was purchased. Find this function’s domain and range in this context.
My teacher is of little help and I've yet to find a way to learn how to solve this online.
Evaluate each function for the given value.
a. h(x) = 7 - 3/2x; h(4)
b. f(x) = [1-5x]; f(9)
Evaluate each function at the given value of the variable.
a. f(x) = x²- x + 4
f(-1)
f(0)
= X-
b. g(x)=
g(3)
g(-3)
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