Problem 18
Question
Answer true or false. If the answer is false, explain why. \(f(x)=-4 x+1\) is an example of a linear function.
Step-by-Step Solution
Verified Answer
True. \(f(x) = -4x + 1\) is an example of a linear function, as it matches the general form \(f(x) = mx + b\), with \(m = -4\) and \(b = 1\).
1Step 1: Identify the given function
The given function is \(f(x) = -4x + 1\).
2Step 2: Compare the given function to the general form of a linear function
The given function appears in the form \(f(x) = mx + b\), with \(m = -4\) and \(b = 1\).
Since it matches the general form, it is a linear function.
3Step 3: Provide the answer
Thus, the statement is true. \(f(x) = -4x + 1\) is indeed an example of a linear function.
Other exercises in this chapter
Problem 18
For quadratic function, identify the vertex, axis of symmetry, and \(x\)- and \(y\)-intercepts. Then, graph the function. \(y=2(x+1)^{2}-2\)
View solution Problem 18
Write a general variation equation using \(k\) as the constant of variation. \(r\) varies directly as \(d\) and inversely as the square of \(L\)
View solution Problem 19
Let \(f(x)=5 x-4\) and \(g(x)=x+7 .\) Find a) \((f \circ g)(x)\) b) \(\quad(g \circ f)(x)\) c) \((f \circ g)(3)\)
View solution Problem 19
Sketch the graph of \(f(x) .\) Then, graph \(g(x)\) on the same axes using the transformation techniques. $$\begin{array}{l}f(x)=|x| \\\g(x)=|x|-2\end{array}$$
View solution