Question

Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit

Answer 1

Question:

Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit.

Select all that apply.

$f(x)=log x$

$g(x)=|x-3|$

(3.6,0.6)

(-2.6,0.4)

(-3.6,0.6)

(2.6,0.4)

(4.5,-1.5)

Answer:

Option A : $(3.6,0.6)$ is the solution to the system of equations.

Option D: $(2.6,0.4)$ is the solution to the system of equations.

Explanation:

The two equations are $f(x)=log x$ and $g(x)=|x-3|$

To determine the solution of the system of equations using technology, let us plot the equations in the graphing calculator.

The solution of the system of equations is the intersection of the two lines.

Thus, from the graph, we can see that the two lines f(x) and g(x) intersect at the points $(2.587,0.413)$ and $(3.55,0.55)$

Rounding off the solution to the nearest tenth, we get,

$(2.6,0.4)$ and $(3.6,0.6)$

Thus, the solution to the system of equations is $(2.6,0.4)$ and $(3.6,0.6)$

Hence, Option A and Option D are the correct answers.