Someone please help

Mathematics

1 answer:

julia-pushkina [17]4 years ago

3 0

Answer:

(a) So the top of the hill is 365 feet above sea level.

(b) Checkpoint 5 is 185 feet higher than checkpoint 2.

Step-by-step explanation:

Solution for (a):

Checkpoint 2 is -218 feet above sea level.

The top of a hill rises 583 feet above Checkpoint 2.

The altitude of the top of the hill = -218 + 583 = 365

So the top of the hill is 365 feet above sea level.

Solution for (b):

Checkpoint 2 is -218 feet above sea level.

Checkpoint 5 is -33 feet above sea level.

Checkpoint 5 is -33 - -218 = 185 feet higher than checkpoint 2.

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What is the effect on the graph of the function f(x) = 2^x when f(x) is replaced with f(x − 3)?

mel-nik [20]

Graph of f(x-3) is compressed by a factor of $\frac{1}{8}$ horizontally of f(x).

Step-by-step explanation:

We have, the graph of f(x)= $2^{x}$ , on replacing f(x) by f(x-3) we get:

$f(x-3)$ = $2^{x-3} = \frac{2^{x}}{2^{3}} = \frac{1}{8} 2^{x} = \frac{1}{8} f(x)$ .Below shown are the images for graph of f(x) and f(x-3). Both are functions are exponential , and so having exponential graph but f(x-3) is compressed by a factor of $\frac{1}{8}$ horizontally . Domain and range of both functions are same i.e. F(x) & f(x-3) domain & range are same , just difference in graph : $f(x-3) = \frac{1}{8} f(x)$ .