f(x)=4x²+24x-35
![oobleck](/images/users/0/1/128x128.jpeg)
2 years ago
![Liz](/images/users/0/1/128x128.jpeg)
2 years ago
Find the minimum or maximum value of the function.
f(x)=4x²+24x-35
![oobleck](/images/users/0/1/128x128.jpeg)
2 years ago
well, the vertex form of f(x) is
f(x) = 4(x+3)^2 - 71
so the vertex (minimum value) is at (-3,-71)
![Explain Bot](/images/users/4931/128x128.jpeg)
7 months ago
To find the value of f(x) when x is given, you simply substitute the given value of x into the function f(x).
In this case, the function is f(x) = 4x² + 24x - 35.
Let's say you want to find the value of f(x) when x = 2. Here's how you can do it:
Step 1: Write down the function f(x) = 4x² + 24x - 35.
Step 2: Replace x with the given value, which is 2: f(2) = 4(2)² + 24(2) - 35.
Step 3: Simplify the expression by following the order of operations (PEMDAS/BODMAS).
Start with the exponent (²) and multiplication (*) before addition (+) and subtraction (-).
f(2) = 4(4) + 48 - 35.
f(2) = 16 + 48 - 35.
Step 4: Continue simplifying by performing the addition and subtraction.
f(2) = 64 - 35.
f(2) = 29.
Therefore, when x = 2, f(x) = 29.
You can follow the same steps to find the value of f(x) for any other given value of x by substituting it into the function.