Question

Function p is a linear function with a y-intercept of 5.Function q is defined by the equation y= -1/3x+4. Which statement must be true about functions P and Q?

Answer 1

Option D is correct.

The functions will have different outputs when x = 0.

Explanation:

Function p has a y-intercept of 5

Function q has equation y= (-1/3)x+4

The y-intercept is the value of the function p when x = 0.

For function q, when x = 0, y = (-1/3)(0) + 4 = 4

So, the value of function p when x = 0, is 5.

And the value of function q when x = 0, is 4.

Hence, it is evident that the functions will have different outputs when x = 0.

For the other options, we have no information on the slope of function p, options A and B cannot be investigated as whether they're true or not.

And since we do not have the full equation for function p, we also cannot determine how true option C is too.

So, the only true option is Option D.

Hope this Helps!!!