Question

For two functions, a(x) and b(x), a statement is made that a(x) = b(x) at x = 2. What is definitely true about x = 2? Both a(x) and b(x) have a maximum or minimum value at x = 2. Both a(x) and b(x) have the same output value at x = 2. Both a(x) and b(x) cross the x-axis at 2. Both a(x) and b(x) cross the y-axis at 2.

Answer 1

The correct statement is:

Both a(x) and b(x) have the same output value at x = 2

Explanation:

We are given two functions a(x) and b(x) such that a statement about them is given as:

a(x)=b(x) at x=2

Then the statement which is true regarding the above statement is:

Both a(x) and b(x) have the same output value at x = 2.

• Since we are not given the functions value at other points hence we can't judge the minimum or maximum of a function. (option 1 is incorrect).

• Also we do not know whether at x=2 the corresponding function value is zero. Hence we can't say that Both a(x) and b(x) cross the x-axis at 2( option 3 is incorrect).

Similarly last option is wrong.

Answer 2

The answer is Both a(x) and b(x) have the same output value at x = 2. Because when a(x)=b(x) the lines intersect at that point lines intersect they have a point in common. Also, a(x)=b(x) means that the outcomes are the same