50
QuizMultiple Choice

Comparing Characteristics of Functions — Quiz

Question 50 • Mathematics II

Consider the function. g of x is equal to square root of x plus 4 end root minus 6 Which function has the same y -intercept as this function?

Answer
A
f of x is equal to the fraction with numerator 4 and denominator x minus 8 minus 3 point 5
B
f of x is equal to 2 divides x plus 2 divides
C
f of x is equal to negative 4 over x minus 1
D
f of x is equal to start absolute value x minus 4 end absolute value

Explanation

The y-intercept is the function’s value when x = 0. For g, g(0) = √(0 + 4) − 6 = 2 − 6 = −4. Choice A also gives −4 at x = 0: 4/(0 − 8) − 3.5 = −0.5 − 3.5 = −4, so it has the same y-intercept.

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