Question

1. # Which Statements Are True About The Graph Of The Function F(X) = X2 – 8X + 5?

Graphs can be intimidating to look at, even if you understand the concept of functions. But when it comes to interpreting the data represented on a graph, there are certain truths that can be easily pulled from it. In this blog post, we will discuss which statements are true about the graph of a particular function: f(x) = x2 – 8x + 5. We will explore various aspects of the graph, such as its shape, intercepts and more, so that you have a better understanding of what to look for when examining a graph. So grab your pencil and paper and let’s get started!

## The graph of the function f(x) = x2 – 8x + 5 is always concave upward

The graph of the function f(x) = x2 – 8x + 5 is always concave upward. This can be seen by looking at the graph of the function and noting that the line is always curving upward.

## There are no local maximum or minimum points on the graph of the function f(x) = x2 – 8x + 5

There are no local maximum or minimum points on the graph of the function f(x) = x2 – 8x + 5. Every point on the graph of this function is a relative maximum or minimum.

## The graph of the function f(x) = x2 – 8x + 5 has a point of inflection at (4, -7)

The graph of the function f(x) = x2 – 8x + 5 has a point of inflection at (4, -7). This means that the graph changes from concave upward to concave downward at this point.

## The y-intercept of the graph of the function

The y-intercept of the graph of the function is the point where the graph intersects the y-axis. In this case, the y-intercept is 0.

2. Have you been struggling to understand graphs of functions and what they represent?

Fear not! In this blog post, we’ll look at a particular graph and discuss which statements are true about it. Specifically, we’ll be discussing the graph of the function f(x) = x2 – 8x + 5.

First off, what does the graph of this function look like? Well, the graph looks like a parabola that opens upwards, as you can see in the image below.

Now that you know what the graph looks like, let’s go through the statements and discuss which ones are true.

1. The graph of the function f(x) = x2 – 8x + 5 has a minimum point.

✅ True! The graph of the function has a minimum point. This can be seen from the shape of the parabola, which has a “lowest point” that represents the minimum point.

2. The graph of the function f(x) = x2 – 8x + 5 has a maximum point.

❌ False! The graph of the function does not have a maximum point. This can be seen from the shape of the parabola, which has no “highest point”.

3. The graph of the function f(x) = x2 – 8x + 5 is symmetrical.

✅ True! The graph of the function is symmetrical. This can be seen by looking at the parabola, which has a “mirror image” on either side.

4. The graph of the function f(x) = x2 – 8x + 5 crosses the x-axis at two points.

✅ True! The graph of the function crosses the x-axis at two points. This can be seen from the shape of the parabola, which has two points where it crosses the x-axis.

We hope this blog post has helped you better understand the graph of the function f(x) = x2 – 8x + 5, and which of the statements about it are true.