Question

find the linear function with the following properties.$f(0) = 1$slope of $f = 3$answer 2 points$f(x) = $

Explanation:

Step1: Recall linear function form

The standard form of a linear function is $f(x) = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Step2: Identify slope $m$

Given slope of $f$ is 3, so $m = 3$.

Step3: Find y-intercept $b$

$f(0)=1$ means when $x=0$, $f(x)=1$. Substitute into $f(x)=mx+b$:
$1 = 3(0) + b$
Solve for $b$: $b=1$.

Step4: Build the function

Substitute $m=3$ and $b=1$ into the linear form.
$f(x) = 3x + 1$

Answer:

$f(x) = 3x + 1$