Question

Which equation would have real zero(s) corresponding to the xintercept(s) of the graph below?

Answer 1

Given: Graph of a function is given.

Required: To identify which equation would have real zero(s) corresponding to the x-intercept(s) of the graph.

Step-by-step explanation: A function's zero(s) are represented on the graph as the x-intercept. Hence we need to solve the given equations for zero(s).

We put the equation equal to zero to solve for zero(s).

The first equation given is

`y=-2^x+4`

Putting the equation, y=0 gives

`\begin{gathered} -2^x+4=0 \\ -2^x=-4 \\ 2^x=2^2 \\ \Rightarrow x=2 \end{gathered}`

The second equation given has no x-intercept.

The third equation has an x-intercept at

`(-(3)/(2),0)`

The last equation has an x-intercept at

`(1,0)`

Final Answer: Option A is correct.