Question

HURUTA ECONDARY SCHOOL MATHS FIRST SEM. 2016 FOR GRADE 10 Name Mexlit zexariyas grade 10G 1. Write "True" if statement is correct and write Fase" if statement is incorrect. 1. The elements of first components in the ordered par tx. v is the range of the relatic 2. If draw the graph of relation inequality < or > use sid line. 3. The graph of the function f(x) = Type equation here, bis decreasing. 4. m: [0.x) → R. m(x) = x² is one-to-one function. F(x) + 5.The graph of quadratic function is striate line. 6. The domain of the function f(x)=√x² - 1 is R {0}. fix) =zx-lag(x 7. If a< 0 then the graph of the linear function f(x) = ax + b is decreasing. FW=2*10 II. Fill the blank to complete the statement. If a>0 then the graph of the linear function fo) No 32 1x​

Answer 1

The statements about functions, graphs, and inequalities are critically examined and determined to be either True or False based on mathematical principles at the Grade 10 level.

Step-by-step explanation:

The statements below are evaluated as True or False based on the context of 'Mathematics' specifically catered towards 'Grade 10' level knowledge.

1. The elements of the first component in the ordered pair (x, y) are considered as the domain, not the range of the relation, so the statement is False.
2. When we draw the graph of a relation with an inequality < or >, we use a dashed line to indicate that the boundary is not included in the solution, so the statement is True.
3. Without the specific equation for f(x), we cannot determine if the statement about the function being decreasing is True or False.
4. The function m(x) = x² is not one-to-one because for every y value there could be two x values (one positive and one negative), making the statement False.
5. The graph of a quadratic function is a parabola, not a straight line, so the statement is False.
6. The domain of the function f(x)=√x² - 1 is all x for which x² -1 is non-negative, which is not R {0}, so the statement is False.
7. If a<0, the graph of the linear function f(x) = ax + b is indeed decreasing, therefore, the statement is True.

Algebraic Equation of a Line

The algebraic equation for a line is given by y = b + mx, where 'm' represents the slope, and 'b' is the y-intercept. The slope is a measure of how steep the line is, and a positive slope 'm' indicates an increasing line while a negative slope indicates a decreasing line.

Function Graphs and Relationships

Reading function graphs is a crucial skill, and it is important to note that graphs provide one perspective and should be interpreted with caution. Graphs represent economic relationships and other phenomena in algebra or visually, and are particularly common in understanding economics.