\(f(x)=2x^2-1\). The graph is drawn for \(-2\le x\le2\).

(a) Use the graph to solve f(x)=5. [2]

(b(i)) Draw the tangent at (−1.5,3.5). [1]

(b(ii)) Estimate the gradient at x=−1.5 from the tangent. [2]

\(g(x)=2^x\).

(c(i)) Complete the table. [1]

(c(ii)) Draw y=g(x) on the same grid for −2≤x≤2. [3]

(d(i)) Solve f(x)=g(x) using the graphs. [2]

(d(ii)) Solve f(x)[1]

(e(i)) Write g(−3),g(−5),g(−10). [1]

(e(ii)) As x decreases, what value does g(x) approach? [1]