Mathematics, 09.10.2019 06:00 snowprincess99447

Below are two different functions, f(x) and g(x). what can be determined about their y-intercepts?

f(x) = x + 4

x g(x)
−1 | 8
1 | 0
2 | −4

a) the function f(x) has a higher y-intercept.
b) the function g(x) has a higher y-intercept.
c) they both have the same y-intercept.
d) the relationship between y-intercepts cannot be determined.

Answers: 1

Show answers

Answers

Answer from: littleprinces

Hello!

The answer is:

C) They both have the same y-intercept.

Why?

In order to find the correct option, we need to find the equation of the function g(x), and then, compare its y-intercept with the y-intercept of the f(x) function.

So,

- Finding the equation of the g(x):

Calculating the slope of the function, using the first two points (-1,8) and (1,0), we have:

$m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{0-8}{1-(-1)}=\frac{-8}{2}=-4$

Now, calculating the value of "b" using the first point (-1,8) and the slope of the function, we have:

y=mx+b

y=-x+b

8=-4(-1)+b

b=4

So, the equation of g(x) is:

y=-4x+4

- Comparing the y-intercepts of f(x) and g(x):

Finding the y-intercept of f(x), by making "x" equal to 0, we have:

$y=x+4\\\\y=4$

We have that the function f(x) has its y-intercept at "y" equal to 4.

Finding the y-intercept of g(x), by making "x" equal to 0, we have:

y=-4x+4

y=-4*(0)+4

y=4

We have that the function g(x) has its y-intercept at "y" equal to 4.

Hence, we have that both functions have their y-intercepts at the same point, so, the correct option is:

C) They both have the same y-intercept.

Have a nice day!

Answer from: dearash1730

D) The relationship between y-intercepts cannot be determined.

Step-by-step explanation:

We have been given two different functions f(x) and g(x). Now we need to find about what can be determined about their y-intercepts. Then match with the correct choice from the given choices:

A) The function f(x) has a higher y-intercept.

B) The function g(x) has a higher y-intercept.

C) They both have the same y-intercept.

D) The relationship between y-intercepts cannot be determined.

We know that y-intercept is the y of function value when x=0.

In the table of g(x), we don't see any point that has x=0

So we can't find the y-intercept for g(x)

Hence correct choice is :

D) The relationship between y-intercepts cannot be determined.

Answer from: Quest

The answer would be d i think but i’m for sure it is not a and c
The vertex of this parabola is at (-2,1) .which of the following could be its equation a. x=4(y+1)^2

Answer from: Quest

20%

step-by-step explanation:

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 23:30, axelgonzalez9999

Segment wx is shown explain how you would construct a perpendicular bisector of wx using a compass and a straightedge

Answers: 1

continue

Mathematics, 22.06.2019 00:20, Jaymiegrimes22

Traffic on saturday, it took ms. torres 24 minutes to drive 20 miles from her home to her office. during friday's rush hour, it took 75 minutes to drive the same distance. a. what was ms. torres's average speed in miles per hour on saturday? b. what was her average speed in miles per hour on friday?

Answers: 1

continue

Mathematics, 22.06.2019 00:30, winterblanco

1/2+1/6-3/4 simplify the given expression leaving the answer in improper fraction form.

Answers: 2

continue

Mathematics, 22.06.2019 02:50, student0724

Determine the following data for the quadratic relation f(x) = -3(x+2)(x-3)? i. direction of opening: ii. x-intercepts: iii. y-intecept: iv. axis of symmetry: v. vertex:

Answers: 3

continue

You know the right answer?

Below are two different functions, f(x) and g(x). what can be determined about their y-intercepts? <...