SaiBook.us SAT-2

Home Course Section

Schedule Admission Social

Step-4

Title: Linear Functions

Grade: 1400-a Lesson: S1-L3

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	The linear function f(x) = -0.5x - 3. Find the x-intercept and the y-intercept of the function.
2	Step	Given function	f(x) = -0.5x - 3
3	Hint	To find the x-intercept of a function f(x), substitute 0 for y in its equation:	0 = - 0.5x - 3 0.5x = 3 x = - 6
4	Step	To find the y-intercept, substitute x by 0 in f(x):	f(0) = - 0.5(0) - 3 f(0) = - 3
5	Step	The x-intercept of the function is - 6 and the y-intercept of the function is - 3.
6	Step	Therefore, the function intercepts the x-axis at (- 6,0) and the y-axis at (0,- 3).
7	Choice.A	Option A is inaccurate since it doesn’t align with the coordinates of the x and y intercepts we derived	(5, 0) and (0, 4)
8	Choice.B	Option B is accurate as it aligns with the values (-6, 0) for the x-intercept and (0, -3) for the y-intercept	(-6, 0) and (0, -3)
9	Choice.C	Option C (-5, 0) and (0, -4) don’t align; the x-intercept is misstated as (-5, 0), and the y-intercept as (0, -4)	(-5, 0) and (0, -4)
10	Choice.D	Option D is incorrect as it yields (6, 0) for the x-intercept and (0, 3) for the y-intercept, contradicting calculations	(6, 0) and (0, 3)
11	Answer	Option	B
12	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

The linear function f(x) = -0.5x - 3. Find the x-intercept and the y-intercept of the function.

Step

Given function

f(x) = -0.5x - 3

Hint

To find the x-intercept of a function f(x), substitute 0 for y in its equation:

0 = - 0.5x - 3
0.5x = 3
x = - 6

Step

To find the y-intercept, substitute x by 0 in f(x):

f(0) = - 0.5(0) - 3
f(0) = - 3

Step

The x-intercept of the function is - 6 and the y-intercept of the function is - 3.

Step

Therefore, the function intercepts the x-axis at (- 6,0) and the y-axis at (0,- 3).

Choice.A

Option A is inaccurate since it doesn’t align with the coordinates of the x and y intercepts we derived

(5, 0) and (0, 4)

Choice.B

Option B is accurate as it aligns with the values (-6, 0) for the x-intercept and (0, -3) for the y-intercept

(-6, 0) and (0, -3)

Choice.C

Option C (-5, 0) and (0, -4) don’t align; the x-intercept is misstated as (-5, 0), and the y-intercept as (0, -4)

(-5, 0) and (0, -4)

Choice.D

Option D is incorrect as it yields (6, 0) for the x-intercept and (0, 3) for the y-intercept, contradicting calculations

(6, 0) and (0, 3)

Answer

Option

Sumup

Can you summarize what you’ve understood in the above steps?