Question 1

Given the graph of a function, how do you determine the x-intercepts?

Accepted Answer

Find the points where the graph crosses the x-axis.

Question 2

Which of the following points is an x-intercept of the function shown in Example 1 (top left graph)?

Accepted Answer

$$(2, 0)$$

Question 3

What is the y-intercept of the function shown in Example 2 (top right graph)?

Accepted Answer

$$(0, 0)$$

Question 4

If a function's graph passes through the point $$(0, -6)$$, what does this tell you?

Accepted Answer

The function has a y-intercept at $$y = -6.$$

Question 5

Which of the following is NOT an x-intercept of the function in Example 1?

Accepted Answer

$$(4, 0)$$

Question 6

A parabola opens upwards and passes through the origin. What are its intercepts?

Accepted Answer

x-intercept: $$(0, 0)$$; y-intercept: $$(0, 0)$$

Question 7

Which of the following best describes the y-intercept of a function?

Accepted Answer

The point where the graph crosses the y-axis.

Question 8

Given the graph in Example 3 (bottom left), what are the x-intercepts?

Accepted Answer

$$(-6, 0)$$ and $$(6, 0)$$

Question 9

If a function has the intercepts $$(-4, 0)$$, $$(2, 0)$$, and $$(0, 0.6)$$, what is the y-intercept?

Accepted Answer

$$(0, 0.6)$$

Question 10

A real-world scenario: The height $$h (in $$meters) of a ball thrown upward is modeled by $$h(t) = -4.9t^2$ + 10t + 2. $$What is the y-intercept, and what does it represent?

Accepted Answer

$$(0, 2)$$; the ball starts at a height of 2 meters.

Question 11

Which of the following statements is true about the intercepts of a function?

Accepted Answer

A function can have multiple x-intercepts.

Question 12

If a function's graph passes through $$(0, 0)$$ and $$(2, 0)$$, what can you conclude?

Accepted Answer

The function has x-intercepts at $$x = 0$$ and $$x = 2.$$

Finding Intercepts from Graphs – College Algebra Lesson 1.1

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