Write the equation of the line that passes through (3, 4) and 2, -1) in slope-intercept form
1 answer:
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Answer:
The growth value of the function is One-third ⇒ True (2nd)
The function shows exponential decay ⇒ True (3rd)
The function is a stretch of the function ⇒
True (4th)
Step-by-step explanation:
* <em>Lets revise the form of the exponential function</em>
- The general form of the exponential function is
where "a" is the initial amount and "b" is the growth factor
- If b > 1, then f(x) is exponential growth function
- If 0 < b < 1, then f(x) is exponential decay function
* <em>Lets solve the problem</em>
- The exponential function
∴ The initial value is 3
∴ The growth factor is
∵ The growth factor is less than 1
∴ f(x) is exponential decay function
* Lets chose the true statements
# The initial value of the function is One-third ⇒ Not true
because the initial value is 3
# The growth value of the function is One-third ⇒ True
because the growth factor is
# The function shows exponential decay ⇒ True
because the growth factor is less than 1
# The function is a stretch of the function
⇒ True
because stretched vertically means multiply f(x) by constant greater
than 1 and 3 is greater than 1
# The function is a shrink of the function ⇒ Not true
because the growth factor is not 3