Answer:
The correct options are:
Option B)
is never zero.
Option F) When x=0, y≠0
Step-by-step explanation:
Consider the provided function.

When we substitute x=0 in above function we get:


When we substitute x=-1 in above function we get:


When we substitute x=1 in above function we get:


The above function is exponential function which does not pass through the origin and the range of the function is a positive number.
The graph of the function is shown in figure 1.
Now consider the provided options.
Option A)
is always greater than or equal to 1.
The option is incorrect as the value of the function is less than 1 for negative value of x.
Option B)
is never zero
The option is correct.
Option C) When y=0, x=0
The option is incorrect.
Option D) When x=0, y=4
When x=0 the value of y is 1.
Thus, the option is incorrect.
Option E)
is zero when x=0
When x=0 the value of
is 1.
Thus, the option is incorrect.
Option F) When x=0, y≠0
The option is correct as 0≠1.
Answer: *An image created by a reflection will always be congruent to its pre-image.
*Corresponding angles and segments are always congruent in a reflection of a figure.
*An image and its pre-image are always the same distance from the line of reflection.
Step-by-step explanation:
Since, reflection is a rigid transformation therefore, it preserves the shape of the figure and create congruent images.
And we know that if if two figures are congruent then their corresponding angles and sides are congruent.
Reflection maps a figure to create its mirror image, and the distance of object and image is always equal from the mirror, therefore "An image and its pre-image are always the same distance from the line of reflection."
Each number has a factor of 2, so divide each number by 2, giving you 2:11:15. You can't divide by anything else because 2, 11, and 15 have no factors in common.
X intercept: (-4)
y intercept: (8)
<span>In expanded form this is 6,000,000 + 7000 + 200. In words this is six million, seven thousand two hundred.</span>