Functions Unit Test

Question

3 of 153 of 15 Items
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 6 to 6 in one unit increments. A downward slanting line is graphed on the coordinate plane. The line passes through points plotted at left parenthesis 0 comma 3 right parenthesis, and left parenthesis 5 comma 1 right parenthesis.

Determine if the given graph is the graph of the function y=−25x+3
. Enter 1 for yes. Enter 2 for no.

(1 point)

Answer 1

To determine if the given graph of the line passes through the points given for the function \( y = -25x + 3 \), we can check whether the coordinates of the points on the graph satisfy this equation.

1. Check Point (0, 3):

   • Substitute \( x = 0 \) into the function: \[ y = -25(0) + 3 = 3 \]
   • So the point (0, 3) satisfies the function.

2. Check Point (5, 1):

   • Substitute \( x = 5 \) into the function: \[ y = -25(5) + 3 = -125 + 3 = -122 \]
   • The output is -122, not 1, so the point (5, 1) does not satisfy the function.

Since (5, 1) does not satisfy the equation \( y = -25x + 3 \) but (0, 3) does, we can conclude that the graph of the line does not represent the function \( y = -25x + 3 \) in its entirety.

Therefore, the answer is: 2 (no).