Intercepts of Functions

What is the significance of x-intercepts in the context of functions?

• They indicate the maximum value of the function

• They indicate the values of x for which the function equals zero.

• They represent the y-values of the function

• They show the slope of the function at that point

Explain the relationship between x-intercepts and roots of a function.

• The x-intercepts of a function are only found in quadratic equations, while the roots can be found in any type of function.

• The x-intercepts of a function are unrelated to the roots of the function.

• The x-intercepts of a function are the same as the roots of the function.

• The x-intercepts of a function are always negative, while the roots can be positive or negative.

Tags

CCSS.HSF-IF.C.7C

Discuss the graphical representation of x-intercepts and y-intercepts of a function.

• Locate the points where the graph intersects the x-axis and y-axis

• Measure the distance between the x-intercept and y-intercept

• Find the slope of the graph at the x-intercept and y-intercept

• Count the number of lines intersecting the x-axis and y-axis

Explain the concept of intercepts in the context of functions and their applications in real-life scenarios.

• Intercepts are the points where a function reaches its maximum value (max-intercept) or minimum value (min-intercept).

• In real-life scenarios, intercepts have no practical applications and are purely theoretical concepts.

• Intercepts are the points where a function crosses the z-axis (z-intercept) or the w-axis (w-intercept).

• Intercepts are the points where a function crosses the x-axis (x-intercept) or the y-axis (y-intercept). In real-life scenarios, intercepts can represent important values such as the break-even point in business or the time and distance at which two objects intersect in physics.

What are the x-intercept and the y-intercept of this function?

• x-intercept of (0, 2) and y-intercept of (-6, 0)

• x-intercept of (0, 2) and y-intercept of (-6, 0)

• x-intercept of (2, 0) and y-intercept of (0, -6)

• x-intercept of (6, 0) and y-intercept of (0, -2)

Tessa graphed the following linear function on a coordinate plane:
$f\left(x\right)=6x+12.6$
What is the x-intercept of the graph of this function?

• (-6.6, 0)

• (-2.1, 0)

• (6, 0)

• (12.6, 0)

What are the x-intercept and the y-intercept of this function?

• x-intercept of (0, 2) and y-intercept of (-6, 0)

• x-intercept of (0, 2) and y-intercept of (-6, 0)

• x-intercept of (2, 0) and y-intercept of (0, -6)

• x-intercept of (6, 0) and y-intercept of (0, -2)

Find the x and y intercepts
4x - 5y = 40

• x intercept is 10 
  y intercept is 8

• x intercept is 10
  y intercept is 20

• x intercept is 8
  y intercept is 10

• x intercept is 10
  y intercept is -8

What is the zero of the linear function graphed?

Tags

CCSS.HSF-IF.C.7D

Linear function t has a x-intercept of -1 and a y-intercept of 5. Which graph best represents t?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7A