Answer:
[-1, 6)
General Formulas and Concepts:
<u>Algebra I</u>
- Reading a coordinate plane
<u>Algebra II</u>
- Range is the set of y-values that are outputted by function f(x)
- Interval Notation - [Brackets] denote inclusion and (Parenthesis) denote exclusion
Step-by-step explanation:
According to the graph, our y-values span from -1 to 6. Since -1 is a closed dot, it is inclusive. Since 6 is an open dot, it is exclusive:
Range would then be [-1, 6).
Answer:
The equation is p = (8/3) t + 24
In 2020, we will have about 48 horses.
Step-by-step explanation:
In 3 years the family increased by 32 - 24 = 8.
So the constant of proportionality = 8/3.
The required equation is p = (8/3)tx + 24
where p = the population and t is the number of years after 2011.
So in 2020 we can predict that in 2020 the number of horses
= (8/3) * 9 + 24
= 72/3 + 24
= 24 + 24
= 48.
Answer:
C.
Step-by-step explanation:
Negative exponents on the top is equivalent to them being positive in the bottom.
Answer:
The correct option is D.
Step-by-step explanation:
The given graph is the graph of a cosine function, which shifts 1 unit left.
The cosine function is defined as

Where, a is amplitude, b is frequency, c is phase shift and d is vertical shift.
If c>0, then the graph shifts c units left and if c<0, then the graph shifts c units right.
Since the graph show only phase shift and the graph shifts only one unit left, therefore required function is

Option D is correct.
Are perpendicular to each other