The function f is defined by f x = 3x + k, where k is a constant. Find the value of k if the graph of f passes through the point (−1, 8).
Question
The function f is defined by f x = 3x + k, where k is a constant. Find the value of k if the graph of f passes through the point (−1, 8).
Solution
To find the value of k, we can substitute the given point (-1, 8) into the function f(x) = 3x + k.
So, we replace x with -1 and f(x) with 8:
8 = 3(-1) + k 8 = -3 + k
To isolate k, we add 3 to both sides of the equation:
8 + 3 = k k = 11
So, the value of k is 11.
Similar Questions
The graph of f(x) below includes the point (-1, 2). If g(x) = -f(x) + 7, what is the value of y in the coordinate (3, y) for the function g(x)?(A) 2(B) 4(C) 5(D) 8
The graph of a function f is shown below.Find f0.
Given that 3 is the gradient of the line with equation y = 3kx – 11, find the value of k.
Given the functionf(x)f(x)graphed in thexy−xy−plane below, iff(−2.5)=kf(−2.5)=k, then what isf(2k)f(2k)?
Enter the correct answer in the box.This graph represents a transformation of the parent cube root function.Replace the values of h and k to create the equation of the transformed function. f(x)= 3x+h−k
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.