The function is increasing on the intervals:
(-∞, 3] and [5, ∞)
Then the correct options are a and c.
<h3>On which intervals is the function increasing?</h3>
The function is increasing when, reading from left to right, we can see that the curve goes upwards.
By looking at the graph, we can see that the function increases between -∞ and 3, and also increases between 5 and ∞, then the correct options are a and c-
(-∞, 3] and [5, ∞)
If you want to learn more about increasing functions:
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Answer:
$36 (see below)
Step-by-step explanation:
First, you have to find how much they paid for one ticket.
If they paid $12 for 3, then they paid $4 for 1.
You could've also use a ratio:
$12 $x
-------- = --------
3 1
Cross multiply:
$12 (1) = $3x
$12 = $3x
$4 = x
So $4 for 1 ticket.
To find the cost of 9 tickets, just multiply the price by the number of tickets, which is:
$4 (9) = $36
Step-by-step explanation:
all work is pictured and shown
Answer:
Step-by-step explanation:
Let the exponential function given in the picture is,
f(x) = a(b)ˣ
Here, a = Initial value
b = Base value
x = Exponent
Since, the graph passes through the points (0, 1) and (1, 3)
For (0, 1),
1 = a(b)⁰
a = 1
For (1, 3),
3 = 1(b)¹
b = 3
Therefore, equation of the given function will be,
f(x) = (3)ˣ
Therefore, Initial value = 1
Base = 3
Asymptote (Horizontal) → y = 0
Vertical asymptote → None
Domain → (-∞, ∞) Or {x | x ∈ R}
Range → (0, ∞) Or {y | y > 0}
Therefore, answers given by Juan are incorrect.
Answer
1.
2.
3.
4.
5.
Step-by-step-explanation
1. The given expression is
Regroup the terms to obtain;
Simplify to get;
2. The given expression is
Expand the brackets to get;
Regroup the terms to get;
Simplify
3. The given expression is
Expand the brackets to get;
Simplify;
4. The given expression is
Regroup the terms to get;
Apply the commutative property of multiplication to get;
Simplify;
5. The given expression is
Expand the brackets to get;
Regroup the terms to get;
Simplify;