Answer:
D
Step-by-step explanation:
A <u>linear inequality</u> is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality: <, >, ≤, ≥.
Consider all options:
A. The inequality is not linear linear inequality, because x is in the left part denominator and in the right part numerator.
B. This option shows linear equation, not inequality.
C. This option shows quadratic equation, not linear inequality.
D. This option shows linear inequality
Answer:
B the range, the x- and y-intercept
Step-by-step explanation:
the domain stays the same : all values of x are possible out of the interval (-infinity, +infinity).
but the range changes, as for the original function y could only have positive values - even for negative x.
the new function has a first term (with b) that can get very small for negative x, and then a subtraction of 2 makes the result negative.
the y-intercept (x=0) of the original function is simply y=1, as b⁰=1.
the y-intercept of the new function is definitely different, because the first term 3×(b¹) is larger than 3, because b is larger than 1. and a subtraction of 2 leads to a result larger than 1, which is different to 1.
the original function has no x-intercept (y=0), as this would happen only for x = -infinity. and that is not a valid value.
the new function has an x-intercept, because the y-values (range) go from negative to positive numbers. any continuous function like this must therefore have an x-intercept (again, y = the function result = 0)
