What can you say about the y-values of the two functions f(x)=3^(x)-3 g(x)=7x^2-3

Mathematics

2 answers:

lianna [129]3 years ago

7 0

Answer:

F(x) has the smallest possible y-value

The minimum y-value of g(x) approaches -3

Mice21 [21]3 years ago

5 0

Answer: g(x) has the smallest possible y-value of -3

Step-by-step explanation:

f(x) = 3ˣ - 3 This is an exponential graph shifted down three units. So, it has an asymptote at y = -3, which means it approaches -3 but does not touch it.

Range: y > 3 (-3, ∞)

g(x) = 7x² - 3

⇒ g(x) = 7(x - 0)² - 3 This is a parabola with vertex at (0, -3)

Range: y ≥ 3 [-3, ∞)

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Point A has coordinates (3, 4). After a translation 4 units left, a reflection across the x-axis, and a translation 2 units down

adelina 88 [10]

(-1, 2)

So the original point is (3, 4), when you move to the left or right, it changes the x value. When moving it to the right, you add the amount. When moving to the left, you subtract the amount

So after translating the point 4 units to the left, it should be (-1, 4).

Now, you have to move down. When moving up and down, you add or subtract to the y value. When moving up, you add to the amount. When moving down, you subtract the amount.

After subtracting 2, you should be at (-1, 2)

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3 years ago

What is the average rate of change of the amount of the element over the 10-minute experiment? *

Dima020 [189]

Answer:

$-2.7 g/min$

Step-by-step explanation:

Given: a graph

To find: the average rate of change of the amount of the element over the 10-minute experiment

Solution:

A rate of change of one quantity with respect to another quantity is known as rate of change. If y is the dependent variable and x is the independent variable then average rate of change = change in y /change in x.

From the graph,

change in x (time) = $10-0=10$ minutes