Question
Use the image to answer the question.
An illustration shows a coordinate plane with four quadrants. The x-axis and y-axis both range from negative 7 to 7 in one unit increments. An upward slanting line is graphed on the coordinate plane. The line passes through points plotted at left parenthesis negative 6 comma negative 1 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 6 comma 1 right parenthesis.
Determine if the given graph is the graph of the function y=16x
. Enter 1 for yes. Enter 2 for no.
(1 point)
Skip to navigation
2 (no)
To determine if the given graph is the graph of the function y=16x, we need to check if the points on the graph satisfy the equation y=16x.
Let's check the points plotted on the graph:
Point 1: (-6, -1)
Substituting x = -6 and y = -1 into the equation y = 16x:
-1 = 16 * -6
-1 = -96 (This is not true)
Point 2: (0, 0)
Substituting x = 0 and y = 0 into the equation y = 16x:
0 = 16 * 0
0 = 0 (This is true)
Point 3: (6, 1)
Substituting x = 6 and y = 1 into the equation y = 16x:
1 = 16 * 6
1 = 96 (This is not true)
As only 1 out of the 3 points satisfies the equation, the given graph is not the graph of the function y=16x.
So, the answer is 2 (no).
To determine if the given graph is the graph of the function y=16x, we need to check if the points on the graph satisfy the equation y=16x.
First, let's write down the equation:
y = 16x
Then, let's substitute each of the given points into the equation and see if the equation holds true:
Point (-6, -1):
-1 = 16(-6)
-1 = -96 (not true)
Point (0, 0):
0 = 16(0)
0 = 0 (true)
Point (6, 1):
1 = 16(6)
1 = 96 (not true)
Based on the calculation, only one out of the three points satisfies the equation y = 16x.
Therefore, the graph is NOT the graph of the function y=16x.
So, the answer is 2 (no).