The function g is defined by g(x)=m1x+21, where m is an integer constant and 14≤m≤17. For the graph of y=g(x)−9 in the xy-plane, what is the x-coordinate of a possible x-intercept?A) −168B) −192C) −204D) −216
Q. The function g is defined by g(x)=m1x+21, where m is an integer constant and 14≤m≤17. For the graph of y=g(x)−9 in the xy-plane, what is the x-coordinate of a possible x-intercept?A) −168B) −192C) −204D) −216
Write function y=g(x): First, write the function y=g(x)−9. g(x)=m1x+21y=m1x+21−9y=m1x+12
Find x-intercept: Set y to 0 to find the x-intercept. 0=m1x+12
Solve for x: Solve for x. m1x+12=0m1x=−12x=−12m
Check range of m: Check the range of m. 14≤m≤17
Calculate x for m: Calculate x for each value of m. For m=14, x=−12imes14=−168 For m=15, x=−12imes15=−180 For m=16, x=−12imes16=−192 For m0, m1
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