Math / Algebra

QuestionThe graph of a function $g$ is shown below. Find $g(-1)$ . $g(-1)=$ $\square$

Studdy Solution

STEP 1

What is this asking? What's the value of the function $g$ when $x$ is $-1$ ?
Basically, look at the graph and find the $y$ -value when $x$ is $-1$ . Watch out! Don't mix up $x$ and $y$ values!
Make sure you're looking at the right spot on the graph!

STEP 2

1. Find the x-value
2. Find the corresponding y-value

STEP 3

We're looking for $g(-1)$ , so our target x-value is $x = -1$ .
Let's find that on the horizontal axis, which is our $x$ -axis!

STEP 4

From our target x-value $x = -1$ on the $x$ -axis, we draw a vertical line (up or down) until it hits the graph of our function $g$ .

STEP 5

Boom! We hit the graph!
Now, from that point where our line intersects the graph, we draw a horizontal line over to the $y$ -axis.
The $y$ -value at this point is our answer!
In this case, it hits the $y$ -axis at $y = -2$ .

STEP 6

So, when $x = -1$ , the function $g$ has a value of $-2$ .
Therefore, $g(-1) = -2$ .
We did it!

Was this helpful?

QuestionThe graph of a function $g$ is shown below. Find $g(-1)$ . $g(-1)=$ $\square$

Studdy Solution

STEP 1

What is this asking? What's the value of the function $g$ when $x$ is $-1$ ?
Basically, look at the graph and find the $y$ -value when $x$ is $-1$ . Watch out! Don't mix up $x$ and $y$ values!
Make sure you're looking at the right spot on the graph!

STEP 2

1. Find the x-value
2. Find the corresponding y-value

STEP 3

We're looking for $g(-1)$ , so our target x-value is $x = -1$ .
Let's find that on the horizontal axis, which is our $x$ -axis!

STEP 4

From our target x-value $x = -1$ on the $x$ -axis, we draw a vertical line (up or down) until it hits the graph of our function $g$ .

STEP 5

Boom! We hit the graph!
Now, from that point where our line intersects the graph, we draw a horizontal line over to the $y$ -axis.
The $y$ -value at this point is our answer!
In this case, it hits the $y$ -axis at $y = -2$ .

STEP 6

So, when $x = -1$ , the function $g$ has a value of $-2$ .
Therefore, $g(-1) = -2$ .
We did it!

Get Studdy

Studdy solves anything!

Start learning now

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

QuestionThe graph of a function ggg is shown below. Find g(−1)g(-1)g(−1). g(−1)=g(-1)=g(−1)= □\square□

Studdy Solution

STEP 1

What is this asking? What's the value of the function ggg when xxx is −1-1−1?Basically, look at the graph and find the yyy-value when xxx is −1-1−1. Watch out! Don't mix up xxx and yyy values!Make sure you're looking at the right spot on the graph!

STEP 2

1. Find the x-value2. Find the corresponding y-value

STEP 3

We're looking for g(−1)g(-1)g(−1), so our **target x-value** is x=−1x = -1x=−1.Let's find that on the horizontal axis, which is our xxx-axis!

STEP 4

From our **target x-value** x=−1x = -1x=−1 on the xxx-axis, we draw a vertical line (up or down) until it hits the graph of our function ggg.

STEP 5

Boom! We hit the graph!Now, from that point where our line intersects the graph, we draw a horizontal line over to the yyy-axis.The yyy-value at this point is our answer!In this case, it hits the yyy-axis at y=−2y = -2y=−2.

STEP 6

So, when x=−1x = -1x=−1, the function ggg has a value of −2-2−2.Therefore, g(−1)=−2g(-1) = -2g(−1)=−2.We did it!

Get Studdy

Studdy solves anything!

Start learning now

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

QuestionThe graph of a function $g$ is shown below. Find $g(-1)$ . $g(-1)=$ $\square$

What is this asking? What's the value of the function $g$ when $x$ is $-1$ ?
Basically, look at the graph and find the $y$ -value when $x$ is $-1$ . Watch out! Don't mix up $x$ and $y$ values!
Make sure you're looking at the right spot on the graph!

1. Find the x-value
2. Find the corresponding y-value

We're looking for $g(-1)$ , so our target x-value is $x = -1$ .
Let's find that on the horizontal axis, which is our $x$ -axis!

From our target x-value $x = -1$ on the $x$ -axis, we draw a vertical line (up or down) until it hits the graph of our function $g$ .

Boom! We hit the graph!
Now, from that point where our line intersects the graph, we draw a horizontal line over to the $y$ -axis.
The $y$ -value at this point is our answer!
In this case, it hits the $y$ -axis at $y = -2$ .

So, when $x = -1$ , the function $g$ has a value of $-2$ .
Therefore, $g(-1) = -2$ .
We did it!