Answer:
Step-by-step explanation:
Generally,
A straight line equation is given as
y = mx + c
Where,
m is the slope or gradient of the line
c is the intercept of y axis, when x = 0
Now,
Given the function A
g(x) = 0 7 0 2 -2
x = -2 3. 5 -1 0
So, we said the intercept c is when x = 0,
Therefore, in this case when x=0, g(x) = -2
Then, the intercept is -2 on y axis
Then, it has only one intercept, which is -2 on y-axis
To get the intercept on x axis, we will set y to zero,
In this case,
g(x) = 0, then, we have the intercept on x-axis to be -2 and 5
So it has 2-intercept on x axis, one positive and one negative
Given the function B
F(x) = |x| - 3
Comparing this to equation of a line, y= mx + c,
Then we notice that, the intercept is -3
Then, it has only one intercept which is -3 on y axis.
Now, to get the intercept on x axis, we will set f(x) = 0
F(x) = |x| - 3
0 = |x| - 3
Then, |x| = 3
Then, x = 3 or -x =3
Note that, |x| means x and -x
Then, x = 3 or x = -3
So it has also two intercept on the x axis, one positive and one negative.
Then, the third option is the correct option
Both functions have one negative and one positive x-intercept.
