Question 1

Which type of function is represented by the first image, where the data points are closely clustered around a straight dashed line?

Accepted Answer

Linear function

Question 2

In the second image, the graph of $$y = -x^2$ - 2x + 3 is $$shown. What is the vertex of this parabola?

Accepted Answer

The vertex is at $$(-1, 4)$$

Question 3

What is the domain of the function $$y = -x^2$ - 2x + 3 as $$shown in the second image?

Accepted Answer

The domain is $$(-\infty, \infty)$$

Question 4

In the third image, what is the slope of the line shown?

Accepted Answer

The slope is $$-1$$

Question 5

Which equation best represents the line in the third image?

Accepted Answer

$$y = -x + 1$$

Question 6

For the function $$y = -x^2$ - 2x + 3 in $$the second image, what is the range?

Accepted Answer

$$(-\infty, 4]$$

Question 7

In the first image, the red dashed line is a regression line. What does the slope of this line represent in the context of the data?

Accepted Answer

The rate at which the dependent variable increases as the independent variable increases

Question 8

Which of the following statements is true about the line in the third image?

Accepted Answer

The line is decreasing as $$x$$ increases

Question 9

For the quadratic function in the second image, what is the axis of symmetry?

Accepted Answer

$$x = -1$$

Question 10

If the regression line in the first image is $$y = mx + b$$, and the slope $$m is $$positive, what does this indicate about the relationship between $$x$$ and $$y$$?

Accepted Answer

As $$x$$ increases, $$y$$ increases

Question 11

What is the y-intercept of the line in the third image?

Accepted Answer

The y-intercept is $$1$$

Question 12

Which of the following best describes the shape of the graph in the second image?

Accepted Answer

A parabola opening downward

College Algebra: Foundational Concepts, Linear and Exponential Functions, and Graphical Analysis

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