Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

$Three points on the graph of the function f(x) are {(0,2),(1,3),(2,4)}. Which equation represents f(x) ? f(x)=x+2 f(x)=x-2 f(x)=2*((3)/(2))^(x) f(x)=x^(2)+2$

Three points on the graph of the function $f(x)$ are $\{(0,2),(1,3),(2,4)\}$ . Which equation represents $f(x)$ ? $\newline$ $f(x)=x+2$ $\newline$ $f(x)=x-2$ $\newline$ $f(x)=2 \cdot\left(\frac{3}{2}\right)^{x}$ $\newline$ $f(x)=x^{2}+2$

View step-by-step help

Home

Math Problems

Grade 8

Divide numbers written in scientific notation

Full solution

Q. Three points on the graph of the function

f(x)

are

\{(0,2),(1,3),(2,4)\}

. Which equation represents

f(x)

\newline

f(x)=x+2

\newline

f(x)=x-2

\newline

f(x)=2 \cdot\left(\frac{3}{2}\right)^{x}

\newline

f(x)=x^{2}+2

Test Function with Points: Let's test each given function with the points provided to see which one fits all the points. $\newline$ We will start with the first option $f(x) = x + 2$ . $\newline$ We will plug in the $x$ -values from the points and see if the $y$ -values match. $\newline$ For the point $(0,2)$ , if we plug in $x = 0$ , we get $f(0) = 0 + 2 = 2$ .
Check Point $0,2$ : Now let's check the point $1,3$ with the same function $f(x) = x + 2$ . If we plug in $x = 1$ , we get $f(1) = 1 + 2 = 3$ .
Check Point $1,3$ : Finally, let's check the point $2,4$ with the function $f(x) = x + 2$ . If we plug in $x = 2$ , we get $f(2) = 2 + 2 = 4$ .
Check Point $(2,4):$ Since all three points $(0,2), (1,3),$ and $(2,4)$ satisfy the equation $f(x) = x + 2,$ we can conclude that this is the correct representation of the function $f(x).$