Math / Data & Statistics

Question $\text{Given the table of values for } g(x):$
$\begin{array}{|c|c|} \hline x & g(x) \\ \hline -5 & -13 \\ \hline -4 & -4 \\ \hline -3 & -1 \\ \hline -2 & -4 \\ \hline -1 & -13 \\ \hline 0 & -28 \\ \hline \end{array}$
$\text{The maximum } \vee \text{ value of } f(x) \text{ is 0 and there is no minimum } \vee \text{ value. The maximum } \vee \text{ value of } g(x) \text{ is } \square \text{ and there is no minimum } \vee \text{ value. Therefore } f(x) \text{ has a } \square \text{ value than } g(x).$
$\text{Use the table and give the maximum value of } g(x).$

Studdy Solution

STEP 1

What is this asking? What's the biggest value of $g(x)$ we can find in the table? Watch out! Don't get tricked by the $x$ values, we only care about the $g(x)$ values!
Also, bigger negative numbers are actually smaller.

STEP 2

1. Examine the $g(x)$ column.
2. Find the maximum value.

STEP 3

Let's look at all the values of $g(x)$ in the table.
We've got $-13$ , $-4$ , $-1$ , $-4$ , $-13$ , and $-28$ .
We're on the hunt for the maximum value, which means the biggest number!

STEP 4

Remember, with negative numbers, the closer they are to zero, the bigger they are.
So, out of all the $g(x)$ values, $-1$ is the closest to zero, making it the largest value.

STEP 5

The maximum value of $g(x)$ is $-1$ .
So, the maximum $\vee$ value of $g(x)$ is $-1$ and there is no minimum $\vee$ value.
Since the maximum $\vee$ value of $f(x)$ is $0$ , then $f(x)$ has a greater value than $g(x)$ .

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms