TLDR: 1 is 3, 2 is 5, 3 is 8.
Luckily for you, question 1 and 2 are linear functions. You don’t have to do any extra calculations to find the rate of change, because it’s always consistent. Question 1 is 3, and question 2 is 5.
Question 3 involves the evaluation of a quadratic, so we have to do a little bit of math. Plug in the two endpoints of the interval into the equation to obtain their y-coordinate values; we’ll use these points to calculate the slope.
(1,3) and (3, 19)
Now, using the slope formula:
M=y2-y1 = 19-3 = 16=8
x2-x1 3-1 2
The slope for Question 3 is 8.
Answer:
8/5
Step-by-step explanation:
The possible functions for f and g are f(x) = 
and g(x) = 
<h3>What is an exponential function?</h3>
An exponential function is a mathematical function of the following form: f ( x ) = 
where x is a variable, and p is a constant called the base of the function. The most commonly encountered exponential function base is the transcendental number e.
Analysis:
If for every value of x being positive and y is a positive whole number and for every x being negative y is a positive fraction, then that exponential function has a whole number base, Other wise it would have a fractional base. From the above explanation, f has (1,3) (positive x and whole number y) and (-1, 1/3) (negative x and positive fraction y). so therefore f has a whole number base and g has a fraction base.
Therefore f(x) = and g(x) =
Learn more about exponential functions: brainly.com/question/2436547
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X - 15 = 30
=> x = 30 + 15 = 45
2(x + 5) = 2(45 + 5) = 2(50) = 100
