QuestionFind the domain, range, and $x$ -intercepts of the function $f$ : Domain: $-14 \leq x \leq 12$ , Range: $-6 \leq y \leq 9$ , $x$ -intercepts: $8, -2, -12$ .

Studdy Solution

STEP 1

Assumptions1. The points given are all the points on the graph of the function $f$ . . The $x$ -intercepts of a function are the points where the function crosses the x-axis, i.e., the points where $f(x) =0$ .

STEP 2

We need to find the points among the given ones where the $y$ -coordinate is $0$ , as these are the $x$ -intercepts.

STEP 3

The points given are $(8,0)$ , $(,-6)$ , $(0,-3)$ , $(-14,-6)$ , $(0,-3)$ , $(-2,0)$ , $(-,6)$ , $(-6,9)$ , $(-12,0)$ .

STEP 4

From the given points, we can see that the points where $f(x) =0$ (the $y$ -coordinate is $0$ ) are $(8,0)$ , $(-2,0)$ , and $(-12,0)$ .

STEP 5

The $x$ -intercepts are the $x$ -coordinates of these points. So, the $x$ -intercepts are $8$ , $-2$ , and $-12$ .
The $x$ -intercepts of the function $f$ are $8$ , $-2$ , and $-12$ .

Was this helpful?

QuestionFind the domain, range, and $x$ -intercepts of the function $f$ : Domain: $-14 \leq x \leq 12$ , Range: $-6 \leq y \leq 9$ , $x$ -intercepts: $8, -2, -12$ .

Studdy Solution

STEP 1

Assumptions1. The points given are all the points on the graph of the function $f$ . . The $x$ -intercepts of a function are the points where the function crosses the x-axis, i.e., the points where $f(x) =0$ .

STEP 2

We need to find the points among the given ones where the $y$ -coordinate is $0$ , as these are the $x$ -intercepts.

STEP 3

The points given are $(8,0)$ , $(,-6)$ , $(0,-3)$ , $(-14,-6)$ , $(0,-3)$ , $(-2,0)$ , $(-,6)$ , $(-6,9)$ , $(-12,0)$ .

STEP 4

From the given points, we can see that the points where $f(x) =0$ (the $y$ -coordinate is $0$ ) are $(8,0)$ , $(-2,0)$ , and $(-12,0)$ .

STEP 5

The $x$ -intercepts are the $x$ -coordinates of these points. So, the $x$ -intercepts are $8$ , $-2$ , and $-12$ .
The $x$ -intercepts of the function $f$ are $8$ , $-2$ , and $-12$ .

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.

QuestionFind the domain, range, and xxx-intercepts of the function fff: Domain: −14≤x≤12-14 \leq x \leq 12−14≤x≤12, Range: −6≤y≤9-6 \leq y \leq 9−6≤y≤9, xxx-intercepts: 8,−2,−128, -2, -128,−2,−12.

Studdy Solution

STEP 1

Assumptions1. The points given are all the points on the graph of the function fff. . The xxx-intercepts of a function are the points where the function crosses the x-axis, i.e., the points where f(x)=0f(x) =0f(x)=0.

STEP 2

We need to find the points among the given ones where the yyy-coordinate is 000, as these are the xxx-intercepts.

STEP 3

The points given are (8,0)(8,0)(8,0), (,−6)(,-6)(,−6), (0,−3)(0,-3)(0,−3), (−14,−6)(-14,-6)(−14,−6), (0,−3)(0,-3)(0,−3), (−2,0)(-2,0)(−2,0), (−,6)(-,6)(−,6), (−6,9)(-6,9)(−6,9), (−12,0)(-12,0)(−12,0).

STEP 4

From the given points, we can see that the points where f(x)=0f(x) =0f(x)=0 (the yyy-coordinate is 000) are (8,0)(8,0)(8,0), (−2,0)(-2,0)(−2,0), and (−12,0)(-12,0)(−12,0).

STEP 5

The xxx-intercepts are the xxx-coordinates of these points. So, the xxx-intercepts are 888, −2-2−2, and −12-12−12.The xxx-intercepts of the function fff are 888, −2-2−2, and −12-12−12.

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.

QuestionFind the domain, range, and $x$ -intercepts of the function $f$ : Domain: $-14 \leq x \leq 12$ , Range: $-6 \leq y \leq 9$ , $x$ -intercepts: $8, -2, -12$ .

Assumptions1. The points given are all the points on the graph of the function $f$ . . The $x$ -intercepts of a function are the points where the function crosses the x-axis, i.e., the points where $f(x) =0$ .

We need to find the points among the given ones where the $y$ -coordinate is $0$ , as these are the $x$ -intercepts.

The points given are $(8,0)$ , $(,-6)$ , $(0,-3)$ , $(-14,-6)$ , $(0,-3)$ , $(-2,0)$ , $(-,6)$ , $(-6,9)$ , $(-12,0)$ .

From the given points, we can see that the points where $f(x) =0$ (the $y$ -coordinate is $0$ ) are $(8,0)$ , $(-2,0)$ , and $(-12,0)$ .

The $x$ -intercepts are the $x$ -coordinates of these points. So, the $x$ -intercepts are $8$ , $-2$ , and $-12$ .
The $x$ -intercepts of the function $f$ are $8$ , $-2$ , and $-12$ .