The functions in order from least to greatest according to their average rates of change are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]
<h3>How to order the functions?</h3>
The rate of change is calculated using:
For function g at the interval [2,3], we have:
This gives
For function h at the interval [0,2], we have:
Where:
h(2) = 3(3)^2 - 9 = 18
h(0) = 3(3)^0 - 9 = -6
This gives
For function f at the interval [1,2], we have:
This gives
Hence, the functions are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]
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Answer:
x = 4.
Step-by-step explanation:
We see that it passes through the x axis at the point (4, 0) so x = 4 is a solution.
Check by solving the equation
x^2 - 4x + 13 = 13
Subtract 13 from both sides:
x^2 - 4x = 0
x(x - 4) = 0
x = 0 or x - 4 = 0, so:
x = 0 or 4.
Answer:
<h2>
<em>2</em></h2>
<em>Sol</em><em>ution</em><em>,</em>
<em>X=</em><em>8</em>
<em>y</em><em>=</em><em>4</em>
<em>Now</em><em>,</em>
<em>
</em>
<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>
<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>
Answer:
(-3,5) ia the answer
Step-by-step explanation:
It is because when you reflect it across the x axis the first coordinate will be negative and the second number is positive since its in the second square of the graph, so it is more of a resonable guess.
The three main trig functions are sine (written as sin), cosine (written as cos), and tangent (written as tan).
Sine of an angle = the length of the side opposite (aka across) the angle / the length of the hypotenuse
Cosine of an angle = the length of the side adjacent (aka the side next to which isn't the hypotenuse) to the angle / the length of the hypotenuse
Tangent of an angle = the length of the side opposite of the angle / the length of the side adjacent to the angle.
The acronym to remember this is SOHCAHTOA
SOH | CAH | TOA
SOH means sin(x) = opposite/hypotenuse
CAH means cos(x) = adjacent/hypotenuse
TOA means tan(x)= opposite/adjacent
cosB = length of adjacent side/length of hypotenuse = 7/25
tanB = length of opposite/length of adjacent = 24/7
sinB = length of opposite/length of hypotenuse = 24/25
