You just learned several things about linear functions. Take a moment to reflect on the learning objectives and think about your confidence to perform these tasks:
• Identify the slope and y-intercept of a linear function.
• Graph a line given the slope-intercept form of the equation.
• Identify when a function is in standard form and find the x and y-intercepts.
• Rewrite a function in standard form to slope intercept form.
• Create an equation from a real world situation.
• Find the equation of a line in slope intercept form when given slope and a point on the line.
• Find the equation of a line in slope intercept form when given two points.
• Create an equation from a real world situation.
• Determine if a point is a solution to a linear inequality.
• Graph a linear inequality on the coordinate plane.
In this activity, you will complete 2 tasks.
Task 1:
Answer the following questions in complete sentences and post them to the discussion board.
• What is most memorable from the last two units about linear functions? Choose at least one objective listed above and explain how you solved a problem using this technique. Be specific and remember – your explanation could help a fellow student.
• What was the most challenging?
• Is there anything you feel you didn’t get enough information about or could use additional clarification on?
Linear functions
A linear function is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable. For example, a common equation, y = mx + b, (namely the slope-intercept form) is a linear function because it meets both criteria with x and y as variables and m and b as constants. It is linear: the exponent of the x term is a one (first power), and it follows the definition of a function: for each input (x) there is exactly one output (y). Also, its graph is a straight line.
recent years, from 25 minutes of play each day in 1975 to 99 minutes in 2000. A principle purposes behind this is guardians dread to allow their youngsters to play unaided (Gill 2007: 13). Tovey (2007) concurs with Ball (2002) contending unsafe play offers kids chances to practice their entitlement to make moment decisions about their own wellbeing and do their own gamble appraisal on the risks nearby as abilities to survive for further down the road.
Assuming their gamble appraisal comes up short and they hurt themselves or tumble down, these mix-ups permit them to get moment criticism permitting them to attempt an alternate variety in their strategy and arranging. This takes into consideration solid person working as the kids’ brains are being created as far as possible without the security net of a grown-up instructing them not to accomplish something ‘for good measure’. How might they know what ‘in the event’ signifies except if they attempt it? Kids shock us with their flexibility. This concurs with what social scientist Frank Furedi (2001) calls the ‘way of life of dread’ we have made, a perilous nervousness about wellbeing that has shown our feelings of trepidation for youngsters despite the fact that as indicated by insights they are more secure than anytime in mankind’s set of experiences.
In the event that we don’t take care of kids’ hunger for encountering risk by eliminating every likely peril, while we are making it tentatively more secure we are additionally establishing a test free climate, which modifies their personality advancement. Youngsters have an intrinsic sense to encounter hazard to the degree that they will search it out themselves. This wish to get away from a prohibitive adolescence could be contended to be a contributing variable to an ascent in withdrawn youth recreation exercises like wrongdoing (Gill 2007).
Starting around 2007 the UK has seen an expansion in vicious violations including road groups and an ascent in survivors of rough posse fighting. This could be to some degree accused on the ramifications of making settings risk free. From the recently established challenge free conditions (Stephenson, 2003: 40) kids are bound to become exhausted which settles on startling ways of behaving and decisions become progressively interesting to make energy in their play. Walsh (1993: 24) investigates this view making sense of youngsters are ‘directed to involve hardware in startling and genuinely perilous routes with an end goal to make challenge for themselves’.
We are encircled by the most animating climate possible. Notwithstanding, we are si