Question

Estimate the $x$ - and $y$ -intercepts from the graph.

   Estimate the $x$ - and $y$ -intercepts from the graph.

College Algebra Essentials

College Algebra Essentials

Julie Miller 1st Edition

Chapter 2, Problem 46

Instant Answer

Solved by Expert Erika Bustos

08/14/2021

Step 1

These points are called the x-intercepts. From the explanation, we can see that the graph intersects the x-axis at $x = -16$ and $x = 20$. Show more…

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Estimate the $x$ - and $y$ -intercepts from the graph.

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Key Concepts

x-intercept

The x-intercept is the point where a graph crosses the x-axis. At this point, the value of y is zero. Identifying the x-intercept involves finding the input values of the function that make the output zero, which is a fundamental concept in solving equations and analyzing functions graphically.

y-intercept

The y-intercept is the point where a graph crosses the y-axis, meaning the x-coordinate is zero at this location. Determining the y-intercept involves evaluating the function at x = 0, which provides insight into the initial value or starting point of the function, and helps in understanding its overall behavior.

Graphical interpretation

Graphical interpretation involves reading a graph to extract meaningful information such as intercepts, slopes, and trends. It is a key skill for visually estimating where a function crosses the axes, thereby aiding in quick assessments of a function’s behavior and supporting further algebraic analysis.

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