Find a Function Value Write original function. Example 1 1.7Graph Linear Functions Substitute ____ for x. Simplify.

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Presentation transcript:

Find a Function Value Write original function. Example 1 1.7Graph Linear Functions Substitute ____ for x. Simplify.

Find an x-value Write original function. Example 2 1.7Graph Linear Functions Substitute ___ for f (x). Solve for x. For the function find the value of x so that

Checkpoint. Complete the following exercises. 1.7Graph Linear Functions

1.7Graph Linear Functions 2. For the function find the value of x so that Checkpoint. Complete the following exercises.

Compare graphs with the graph of f (x) = x Because the graphs of p and f have the same slope, m = 1, the lines are _________. Also, the y- intercept of the graph of p is ___ less than the y-intercept of the graph of f. The graph of p is a ____________________________ from the graph of f. Example 3 1.7Graph Linear Functions Graph the function. Compare the graph with the graph of f (x) = x. parallel 4 vertical shift of 4 units down

Compare graphs with the graph of f (x) = x Because the graphs of r and f have the same slope, m = 1, the lines are _________. Also, the y- intercept of the graph of r is ___ more than the y-intercept of the graph of f. The graph of r is a ____________________________ from the graph of f. Example 3 1.7Graph Linear Functions Graph the function. Compare the graph with the graph of f (x) = x. parallel 2 vertical shift of 2 units up

Compare graphs with the graph of f (x) = x The graph of q is ___ f (x), which means each value of f is multiplied by ___. The graph of q is a vertical __________ of the graph of f using a scale factor of ____. Example 4 1.7Graph Linear Functions Graph the function. Compare the graph with the graph of f (x) = x. 4 4 stretch 4

Compare graphs with the graph of f (x) = x The graph of q is ___ f (x), which means each value of f is multiplied by ___. The graph of q is a vertical __________ of the graph of f using a scale factor of ____. Example 4 1.7Graph Linear Functions Graph the function. Compare the graph with the graph of f (x) = x. shrink

Checkpoint. Graph the function. Compare the graph with the graph of f (x) = x parallel 1.7Graph Linear Functions vertical shift of 6 units down

Checkpoint. Graph the function. Compare the graph with the graph of f (x) = x 1.7Graph Linear Functions vertical shrink using a scale factor of 1/2

Compare graphs The graph of h is a reflection of the graph of g in the _______. Example 5 1.7Graph Linear Functions Graph the functions. Compare the graphs. y-axis

Compare graphs The graph of q is a reflection of the graph of p in the _______. Example 5 1.7Graph Linear Functions Graph the functions. Compare the graphs. x-axis

Checkpoint. Complete the following exercise. The graph of w is a reflection of the graph of v in the _______. 1.7Graph Linear Functions 5.Graph the functions. Compare the graphs. x-axis

1.7Graph Linear Functions